/sci/ - Science & Math

>>10215213
P=0 or N=1

>>10215213
1/3 because the order matters

balls - 50%
portal - A.(intertial frame)
doors - goat is the real prize for me, I may lose this reward but gain a friend
plane - you would have to be more specific with vectors

>>10215213
pickle + rickle = pickle rickle :DDD

>>10215221
> t. brainlet

>>10215213
Ambiguous, high speed, that's really old, depends on the plane.

>>10215235
only retard deals in absolutes

>>10215247
>ambiguous
No you’re just retarded

>>10215213
Going clockwise starting from upper left
>1.
50%? I'm not actually sure. I think I am wrong but idk why.
>2.
Neither. Portals are completely and utterly nonphysical. Portals violate causality. The answer can be whatever you want it to be. Just make a test map in hammer and see what happens.
>3.
Always switch doors. To see why, imagine there were 100 doors, 99 with goats. You pick one door, 98 are revealed to be duds. The remaining door is much more likely to have a prize than the original picked.
>4.
Yes it takes off. Airplanes do not apply torque to the wheels on takeoff. Speed of conveyor is irrelevant.

2/3 idgaf
2/3 no

>>10215255
>50%? I'm not actually sure. I think I am wrong but idk why.
If you pick a box at random and pull out a gold ball, you are most likely to have picked the box on the left (100% vs 50% probability of picking the gold ball, so twice as likely). So it's a 2/3 probability.

>>10215281
you don't know how probability works anon
it's clearly 50%

>>10215286
Totally not a bait

>>10215286
I see the light, you're right. It either is or it isn't, 50%

>>10215281
>>10215286
Better explanation: you’ve picked a gold ball. There are 3 cases:
>grabbed left ball in box 1
>grabbed right ball in box 1
>grabbed the only gold ball in box 2

Box 1 has a 2/3 probability clearly

>>10215213
2/3
A
Switch doors
Plane takes off

>>10215304
Thank you anon. I now understand~

>>10215304
what
it literally doesn't matter if it's right or left ball
you are picking a ball
it has to be rither gold or sliver
50% chance

>>10215310
The right and the left balls are distinct

>>10215312
no
to have 2/3 chance there would have to be 2 gold balls left out of 3
if you picked up one ball you just theoritically removed one gold ball from two of them since it is the same box
so you have only two balls, silver and gold
50% chance

>>10215304
Yeah, that is a good way of putting it. It always comes down (imo) to stating the problem as clearly as possible. I tend to go by how it would work procedurally, so if you noted down the balls every time you picked a gold ball first, how many of those would be both gold or gold/silver. But equally you can say the question is "what are the chances you've got the box with two gold balls".

>>10215315
I now recall someone coding up a simulation of this a while back, confirming the 2/3 firgure. You're completely wrong. Of all the gold balls, 2 out of 3 are in the box on the left. That means if you pull a gold ball, there is a 2/3 chance it came from the box on the left.

>>10215255
Who's that qt

>>10215310
Imagine the middle box has 1 gold ball and 99 silver balls

>>10215321
it doesn't ask from which box it came but what are the odds for the next one to be gold

>>10215327
Both questions have the same answer in this case because only the left box can have two golds

>>10215329
okay maybe you are right

>>10215327
If there is a 2/3 chance the left most box was chosen based on getting the first ball gold, that means there is a 2/3 chance with a box with two gold balls. There only way to draw another gold ball is to get a box with two gold balls, which I have already shown to be 2/3.

>>10215213
Is that loss?

>>10215322
letodoesart

>what is Bertrand's box paradox
both, 1/2 and 2/3 are theorically correct

>>10215339
They can’t both be correct. It can be simulated and proven to be 2/3

>>10215304
I want to correct this explanation. Increasing the amount of gold balls in the left box wouldn’t increase the probability that the left box was chosen.

>>10215359
But it does? Suppose a thousand gold on the left, one in the middle, zero on right. If you choose a ball at random and get a gold one, which box did it most likely come from?

>>10215364
No, I think this explanation was correct >>10215281

>>10215364
And remember the importance of the boxes. If the left box had infinite golden balls, it wouldn’t be infinitely more probably than the middle box, because you still expect both boxes to have the same probability of being chosen initially. You would still have chosen the left box 2/3 of the time. Change the ratio of golden balls to silver balls in the middle box to change the answer.

If you took a gold ball, we rule out box 3. That means you:
>a) put your hand in box 1
>b) put your hand in box 2
The next possible outcomes are the following:
>You take a gold ball.
>You take a silver ball.

You know that if you took a gold ball from a box, there is either another gold ball or a silver ball in the same box.

50%

>>10215410
You are wrong. Read the thread. You did not account for the fact that twice as many gold balls come from the left box.

>>10215410
So your answer is 50% when the middle box has 1 gold ball and 1,000 silver balls? If you picked a gold ball, wouldn’t you doubt that you chose the middle box

>>10215304
visual

>>10215213
2/3

A

Switch

The plane flies.

Small simulation: 1,000 runs
Gold ball picked out of left box: 333 times
Gold ball picked out of middle box: 333/2

So, of all runs with a picked golden ball (~ 499) 333 of them came from box 1, or 2/3.

>>10215447
Nice visual but it would be inaccurate if the left box had any other amount of gold balls

>>10215213

>Cant be third, must be either first or second. 1/2.

>A. Box is at equilibrium when it passes through the portal.

>Heard this one before. Aparrently you should pick another door because show hosts arent supposed to bullshit you out of a correct first choice.

>Not sure what this one is asking. If both the propeller and the machine are on the plane should stay in the same place.

>>10215255
Three is incorrect. As soon as the door is opened, both probabilities equalize. Regardless of your original choice, the probability of the remaining two doors holding the goat is still 50%.

>>10215513
>1/2.
Read thread

>>10215221
>goat is the real prize for me, I may lose this reward but gain a friend
KEK I am dead thanks m8

>>10215519
I did read thread. Brainlet diagram is wrong. Discluding half of the second box is logically incorrect wince the balls are indistinct.

>>10215525
>>10215452

If you think think it is 2/3rds you need to leave this board. There are only two options, you either pick a gold ball or you don't, 50%.

>>10215532
yoda is right

>>10215482
how so?

>>10215517
This better be bait. If not, just google the Monty Hall problem.

>>10215559
Increasing the amount of gold balls in the left box would increase the odds of the left box having been chosen, according to the visual. But see >>10215452
The probability would still be 2/3. Putting in infinite balls wouldn’t make the probability approach 1. That would be amazing, considering the gold ball will be picked first out the middle box 16.5% of the time in a general run.

First one is 1/3

>>10215561
I'm the same guy who wrote this
>>10215513
I recognize the variable of the host's action. I'm just saying if you think this way without deliberately taking in that variable you're wrong.

>>10215607
Im impressed that you're wrong about every point

>>10215571
nope, with 4 balls you'd have a 4/5 chance
of picking a gold one next

>>10215629
The initial pick is equiprobable over the boxes, not over the balls.

>>10215629
It’s as if you completely ignored everything I said

>>10215636
>>10215650
simulate it - I dare you

>>10215661
I already have
>>10215452
Box 1 will always have gold picked first 333 times, no matter how many more gold balls you place in it. And box 2 will always have gold ball picked first 165 times. The probability remains 2/3

>>10215213
Hard mode: There are 10 balls on the first box

Only 130+ IQ will get it right

>>10215692
Read above comments

>>10215213
2/3, basic probability
B, either relative or absolute reference frame it's B
switch for a better chance, proved experimentally
depends if the propeller force or wheel friction is stronger

give some harder ones

>>10215410
box at random then ball at random = ball at random
2x as likely to pick up another gold ball than silver

>>10215344
>Simulated
unless you can simulate infinite attempts you are incorrect :^)

>>10215692
2/3 as well

>>10215694
What is the answer?

>>10215213
Top Left: 50%
Top Right: irrelevant because portal physics aren't real
Bottom Left: 1/3rd
Bottom Right: It doesn't fly because there's no lift

>>10216201
>50%
yikes

>>10216212
>Reading threads before posting

Do you honestly think I would do that?

Upper Left is 1/3.
To the first ball and the second be a gold ball, you must been taken the first box, tha means a 1/3 chance

>>10215998
2/3

prompt: pick a rand box, pick a rand ball

ok, say we do this 1500 times

500 times you pick from SS
500 times you pick from GS
500 times you pick from GGGGGGGGGG

SS: 0 favourable
GS: 250 favourable
GG: 500 favourable
--------------------------------------------
250+500= 750 favourable ("It's a gold ball")

500 of those 750 times you have locked into the GGGGGGGGGG box.
500/750 = 2/3

>>10215255
based and redpilled taste

>>10215998
2/3

prompt: pick a rand box, pick a rand ball

ok, say we do this 1500 times

500 times you pick from SS
500 times you pick from GS
500 times you pick from GGGGGGGGGG

SS: 0 favourable
GS: 250 favourable
GGGGGGGGGG: 500 favourable
--------------------------------------------
250+500= 750 favourable (prompt: "It's a gold ball")

500 of those 750 times you have locked into the GGGGGGGGGG box.
500/750 = 2/3

>>10215221
>50% Bruh they teach this kinda shit in eight grade.

Top:
Left:75%
Right:A
Bottom:
Left:Switch
Right:I think i dont get it but it should fly away.

>>10216376
Me again, just read the answers dude im retarded lmao

I think portal one is B, because in the game relative speed mattered
But irl it is impossible to determine since we don't know how they work

>>10216376
>Right:I think i dont get it but it should fly away.

What is moving in the picture? The wheels, that's it. Do you know how planes work? Wind blows on the wings generating lift. If the wings aren't moving/being lifted by wind, the plane isn't flying.

>>10216385
Think of it as if the portals were a hole in the same wall. the wall moving towards the cube and letting him pass does not give the cube momentum. Meaning the answer is A imo.

>>10216385
Imagine if the block were only entered halfway through the portal. If B is correct, then what? Would the block be sucked into the portal due to half of the block being pushed through? Would the block split in half? Would it stay still only until the whole block passes through, then move abruptly? Don’t you think A makes more sense now?

Yeah just realized that, that was why i said i was retarded. (also that it was 2/3 of a chance in top left but thats more minor i think).

>>10216390
It's B. The block inherits momentum from the momentum of the portal piston. If the block is only entered halfway through the portal, then the portal has stopped moving, so the block has too. The block would sit with its top facing with the portal.

>>10216400
How does exactly the cubes gets momentum from passing through the portal?

>>10216404
In both A. and B. the cube is to the right of the portal, so the cube must have some horizontal momentum. It's generated by the lower parts of the cube displacing the higher parts.

Actually, I think the answer could be either A or B depending on how abruptly the piston comes to a stop.

>>10216418
Isn't the cube to the right because the portal is inclined?

>>10216424
Yes, but the fact that the center of mass experiences a horizontal change means that at some point, the cube has momentum that didn't come gravity.

>>10216431
But thats because thats how portals work, or at least should work. i cant seem to get an explanation and you seem like a smarter dude than me desu. Please explain.

>>10216444
fucking shit, i wrote "t b h" and got desu lmao

>>10216404
It's either B, or the cube never goes through the portal at all. A is completely contradictory, as it suggests it has some sort of velocity through the portal (otherwise it would not move though the portal), but the velocity is less than the velocity of the orange portal for some reason. At what rate would the cube appear out of the portal in A? It's completely unknown and unknowable because it defies all expectations.

Whereas B, you can predict that it would exit the portal at the same rate as the orange portal coming down on it.

Either way, portals aren't real, and in the game they can't be created on moving objects.

>>10216444
All I'm saying is that you asked "if it's B then where did the momentum come from?" -- I honestly don't know, I'm just saying that in both answers, the cube has momentum, so it's not a relevant question.

Even if the piston was moving super slowly, the top of the cube is moving up and to the right. The fact that the cube is in motion means that it has momentum. The motion is generated by lower parts of the cube pushing up against the higher parts on the stationary end of the portal.

>>10216451
I think i just got a better picture of it. Thanks,

by the way there are mods to create portals on moving pistons like in the op pic on yt, some dude used it to get the player between 2 portals.

>>10216451
I think if the piston gradually slowed to a stop, the cube would either just sit at a 45 degree angle or slide down to answer A. If the piston slammed into the cube then it would be answer B -- and even if the piston suddenly stopped a few mm up from the bottom, momentum would suck the rest of the cube up into the portal

>>10216456
>momentum would suck the rest of the cube up into the portal
Portals are vacuums now. For those who say it’s B, then what happens if we teleport a bullet and a 500 pound cube? Will they both have the same momentum? Or the same speed?

>>10216461
If you fire a bullet into a stationary portal, you should get the same result as if you fire a portal at a stationary bullet. Or do you disagree?

>>10216465
If that’s the case, that would mean that heavy objects could be moved very efficiently, since they would also move at high speeds. How is it that that the heavy object has significantly more momentum?

>>10215219
fpbp

>>10216474
Well, what do you think would happen if you moved a stationary bullet through a really fast-moving portal? I feel like it would be the same as shooting through a stationary portal because the situations are identical from the portal's point of view.

Idk about the heavy object. Possibly the sending portal would have some resistance from gravity acting on the other end, but that still feels weird. Maybe this kind of device is just logically inconsistent for reasons like that.

>>10216474
(Im not the dude you responded to) Because portals are weird as fuck and purely hypothetical.

>>10216479
Imagine running and diving through a doorframe. Now imagine the doorframe is being pushed in your direction so that you end up on the other side of it. You’ll be motionless the whole time. This is what happens to the object, because the two-portal system is essentially a two-sided doorway separated by space unless an object is moved through them.

>>10216498
That analogy only works if both portals are moving with the same velocity, like the two sides of the door are

>>10216511
You’re probably right. Portals are dumb. You could fuck yourself if you positioned two portals right next to each other.

>>10216525
I figure that like the door, your velocity relative to the exit side is the negative of our velocity rel the entrance side. So if one portal is moving and the other isn't, then a stationary object will move out of the stationary portal.

You could fuck yourself OR you could put one portal facing down above the other portal facing up, and drop a ball into it, and get a perpetual motion device

>>10215213
People who pose these statistics questions piss me off.

I don't give a rats ass what combinatorics you want to put on your little gay piece of paper.

If I was in that scenario and I had already picked out a gold ball and I knew that the boxes have that composition, then the answer is 50/50.

The third box shouldn't even be in the picture. The third box is irrelevant. We didn't pick that box and we're certain of it

So there's one ball left in our box. Among the two boxes we could have chosen, if you remove a ball from that box, one of them will have a gray ball remaining, and one will have a gold ball remaining.

BUT WAIT!, you say, IM A TOTAL FAGGOT WHO LOVES MATH AND SCIENCE AND MY TEXTBOOK SAYS ITS NOT LIKE THAT BECAUSE IM TOO DUMB TO THINK FOR MYAELF ABOUT HOW THE WORLD WORKS AND THE PAPER SAYS WHAT I THINK IT SAYS AND YOU'RE WRONG BECAUSE THE BALL YOU PICKED OUT COULD BE EITHER OF THE TWO GOLD BALLS IN THE GOLD ONLY BOX SO ITS ACTUALLY TWO THIRDS.

listen, FUCKFACE, we already chose our fucking box. Theres a gold ball in our fucking hand. There are only two balls that are possibly in-play here. Ones gray. Ones gold. 50/50.

Go fuck yourself if you disagree with this.

>>10216577
If you’re so confident with that then run a test for yourself.
Although you might not want to. It looks like your ego is fragile.

>>10216354
holy fucking shit you are making me angry with this dogshit.

NO. That's the odds that the other ball is going to be gold RELATIVE TO THE BEGINNING. There are three ways to reach into a box and get a gold ball on your first draw: Reach into the first and get the first gold ball, reach into the first and get the second gold ball, or reach into the middle and get the only gold ball.

While it's more likely FROM THE BEGINNING for us to have reached into a box and gotten a gold ball if the box we chose has two balls, FROM THE MOMENT THAT WEVE DRAWN A GOLD BALL, THERE ARE ONLY TWO POSSIBLE BOXES WE COULD HAVE REACHED INTO. ITS ALREADY DECIDED. THERE ARE JUST TWO OTHER BALLS AT PLAY, AND ONE IS GOLD AND ONE IS NOT.

I fucking hate statistics faggots.

>>10216577
If one box had 100 gold balls, and the other had 1 gold ball and 99 gray balls, is the answer still 50%?

>>10216579
passive aggression from the dweebling

>>10216577
>>10216354
>>10215452
>>10215447
Imagine if the middle box had one good ball, but a trillion silver balls. If you picked a box, and you pulled out a gold ball, why on earth would you believe you picked the middle box? Odds are, it’s because you picked the left box

>>10216588
Have you run the simulation yet? Don’t take short cuts either; make sure you start with all three boxes. You have the right to talk down to me when you do.

>>10216585
You don’t have to change 2 gold balls to 100. It’s the same

>>10216585
It’s based off of the proportion of gold to silver balls in each box. The actual number of balls doesn’t matter so long as the proportion stays the same (you just can’t use 1 ball, the proof is left as an exercise for the reader).

>>10216584
You’re more likely to have drawn a gold ball from the left box than the middle box. In fact, it’s twice as likely.

2/3 by Bayes rule. Probability of event 2 given information about event 1 is the probability of the union of the two events divided by the probability of the given event. In this case, the probability that both balls will be gold is 1/3, while the probability of the first ball being gold is 1/2. 1/3 over 1/2 = 2/3.

A. Inertia wins. An object at rest will stay at rest. If the portal does not apply a force to the cube it cannot gain the energy required to shoot off.

Always switch

Plane will take off. The prop is used to propel the aircraft and it only interacts with the air. Treadmill will just make the wheels spin faster to keep up with the moving plane

>>10216585
prompt: pick a rand box, pick a rand ball

ok, say we do this 1500 times

500 times you pick from SS
500 times you pick from 1G99S
500 times you pick from 100G

SS: 0 favourable
1G99S: 5 favourable
100G: 500 favourable
--------------------------------------------
5+500= 505 favourable (prompt: "It's a gold ball")

500 of those 505 times you have locked into the 100G box.
500/505 = 0.9900 9900 9900...

>>10216588
I even decided to do a simulation in excel for you, just to show you how wrong you are. Formulas are in the top if you want to repeat it or criticise my method. Sample size is 10000.
>protip: its flawless

>>10216354
Yes, that is correct.

>>10215213
I ain't smart my IQ is like 102.

>>10215213
A

>>10215235
The same question is asked twice,
pick this, that, or whichever door you picked is the same question and nothing has changed.
Monty Hall's "solution" is a widely accepted fallacy.
Science has zero answers and fyzix is factual.

1. 2/3 the box with 2 gold balls has, uh, 2 gold balls out of three.

2. Both are retarded and its meaningless, but B is the least incoherent.

3. Switch

4. Lift is made by air flowing under the wing, so it's jsut gonna stay still. Thats given it doesnt move itself off the board because the thrust is in the propell.

>>10215213
Is this the shitposting singularity?

>>10217197
What if first box had 10 gold balls?
And does the plane fly or not, you retard?

>>10217213
>>10216354

>>10215221
fucking kek'd

2/3
B
Switch
Yes

These are the 100% correct answers

>>10215286
>>10215300
>>10215310

>>10216577
Probability doesn't work like this. The reality is that you picked a box and it's 100% that box and 0% any box you did not pick. But since you don't know which box it is, you're going to have to make your best guess, based on the information. And given that you have a gold ball, it's likelier to be one box rather than the other.

I didn't read the full Monty Hall problem and didn't know the reveal aspect of it.

If you pick a goat first they reveal the other goat, leaving just the prize if you switch.
You want to pick a goat first forcing him to show the other.
You can't tell if that's what you did, but if you did switching guarantees winning.

I can't use Google because they shit in my results to insult me,
so you know I didn't look a damn thing up and figured this out when I read the full problem.

>>10215213
Yo so I got 2/3 on the box problem, but maybe from brainlet reasons?
>draw gold ball
>only consider the two boxes left
>There are 2 gold balls left and 1 silver
>2/3

A

Switch

If it operates with an airfoil, won't take off. Needs opposing air resistance

>>10215421
Not twice as many, but one more.
>>10215423
There aren't 1.000 silver balls
>>10215839
??? Order doesn't matter.

>>10216637
Thanks anon.

>>10216637
Got 1/2 with this. Trying to decipher Excel notation right now. I think C++ code is pretty easy to understand on its own. code here https://pastebin.com/jKhgRirY

>>10215213
2/3

B

switching is the best option (unless you want to fug a goat)

That plane is not taking off.
Unless that propeller is just so ungodly strong, it blows enough air at the plane's wings to create substantial lift without requiring it to be moving foreword like any sane plane.

>>10218263
Forgot to seed it but it works anyway. It'll just generate the same result every time instead of a slightly different one. Could add "srand (time(NULL));" to the beginning but it won't change the result.

>>10215213
/sci/ has seen better days, now we have these shit threads everyday

>>10215213
Portaled cube is stationary and limply falls out of the new hole

50%, obviously the silver nut sack is no longer in play

Keep with my original gut decision. It's a
50/50 chance at this point.

Depending how realistic you want to be, realistically the wheels would skip/skid along the treadmill, but pure math games it doesn't move.

>>10215247
Kek

>>10215255
>>4.
>Yes it takes off. Airplanes do not apply torque to the wheels on takeoff. Speed of conveyor is irrelevant.
Air speed past the wings provides lift. The engine only pulls the plane forward so it is always encountering a fast enough air stream to remain aloft.

>>10216637
Why are you still simulating the all silver box. We obviously aren't dealing with that box anymore.

>>10216525
Nay
As you thrust your dick in you also thrust your ass away

>>10218422
Just stay still and pull one of the portals toward you

>>10218316
What forces are on the airplane? Thrust from the prop, and normal force from the wheels. The wheels apply no torque are are free to spin as fast as they need. The prop sends the plane forward, putting air over the wings, giving it lift. Thus it takes off. The motion of the conveyor belt doesn't interact with the plane in any way.

Chris Langan (IQ 180) answers the airplane question.

>>10218443
Holy shit this guy is such a goddamn pseud

>>10218444
>responds less than 1 minute later
did you even read it lmao

>>10218446
I stopped at "schematic ambiguity"
It isnt anbiguous. I parsed through and he started talking about normal velocity and a whole bunch of shit that isnt necessary to consider the problem. He is typing long, scientific sounding words to sound smart.

>>10218452
>schematic ambiguity
It's semantic, and it's not a particularly uncommon word.

>>10215607
You can literally test the monty hall problem and it will produce the 2/3rds result, it's not just math fuckery.

>>10216584
screaming idiot

>>10215213
Top and bottom left is 2/3.
Bottom right is plane does not fly.
Top right is impossible to know.

>>10217248
can someone explain how this line of reasoning fits into real statistics? is this what a probability space is?

Okay, here's why the portal question can at least never be A. If the cube is to exit the portal at all, it has to move relative to the portal. The exit portal is stationary relative to its surroundings. That means the cube has to move relative to its surroundings. Any scenario that involves the cube passing through the portal would look like B. The alternative is that the cube is obliterated "in between" the portals as its atoms are smashed together by their inability to overcome their inertia (by what force, we might ask?). But if we consider the portals to function mostly like doorways, B makes more sense. The movement of the cube relative to the portal is merely continued with nothing to slow it down.

>>10215636
It's not because the whole experiment is conditional over having picked a gold ball first. So for the purposes of this experiment you have a 0% chance of picking the third box.

>>10220200
Isn't the point of the experiment that, given that you chose the GG box, your odds of getting a gold ball were 100%, twice as likely as getting it from the GS box, AND that that is the scenario in which your next ball will also be gold? All of which is still the same in the scenario with a GGGG box. Your odds of getting gold from the first box don't get better than 100% by adding more balls. If you want to meaningfully change something, add balls to the GS box.

>>10219973
the rate at which the cube materializes at the blue portal is proportional to the downward speed of the orange portal. But it's momentum is constant so the answer is A.

t. someone smarter than you

>>10220524
>t. someone smarter than you
You wish.
The "rate at which the cube materialises" corresponds exactly to outward motion. Fact is, portals already break any conventional notions you have about momentum, the least we can do is come up with an answer that's consistent with portals.

Another way of looking at it is that if you're standing outside the blue portal, looking in, you will see the cube coming towards you at exactly the speed at which the orange portal is moving towards it. This is, essentially, the speed the cube has, for all intents and purposes relating to what will happen when it comes out of the portal.

Here's a thought experiment: you are on a moving train. Inside the train wagon there is a portal. The other portal is in a stationary room somewhere. You decide to step through the portal, off the train, into the room. What happens next?

Scenario A (momentum is absolute): depending on the speed and direction of the train and the orientation of the portals, you might fly off out of the portal or sideways or be prevented from exiting entirely by your own residual momentum the moment you try to set foot outside the portal. If you don't go through quickly enough your limbs might be torn from your body as the train moves on.

Scenario B (momentum is relative): you step through the portal into the other room as if stepping through a door.

>>10220200
I figured it would be clear I was talking about priors.

>>10215513
0/4

>>10215213
you can't place portals on objects that are moving

>>10215213
1)
first box has 1/3 probability
Gold ball in the second has 1/3*1/2
66% probability that there is another one in the same box.

2) box moves relatively to first portal and would continue so B. From box perspective when the portal approaches it, it appears like it enters a world where everything is moving towards it back.

3) you should switch. 66% probability

4) in ideal conditions, the plane would stay in place no matter how fast or which direction conveyor moves. The place could take off normally given long enough belt.

>>10222100
Then how did you put one on the moon smart guy?

>>10215221
>goat is the real prize for me, I may lose this reward but gain a friend
fucking lol

>>10215213
#1 - You initially have a 50% shot of grabbing a gold ball. Since you have a gold ball, you know the third box with two silver balls is not an option. You thus have a 50% chance of getting a gold or silver ball since you could have either the box with 2 gold balls or 1 gold and 1 silver ball.

2. No idea.

3. I know to switch, I've never understood why.

4. 4chan told me this doesn't work.

>t. Retard

>>10215312
Pee is stored in the balls

>>10215364
I get it now, thanks based Anon.

>>10215213

>>10215231
XDDD

>Boxes & Balls
The available balls are the ball you just took and the ball you didn't. You know the first one is gold, and there's a 50-50 shot for the second one, so there's three possibilities in total. Two of them are gold.
Answer: 2/3

>Portal
The box itself doesn't have any momentum, and portals, at least in that particular game, do not add any momentum to their passengers (the way a coilgun would).
Answer: A

>Le goat meme
Everyone knows this one.
Answer: Kill yourself.

>Plane
A plane takes off when the upward force exerted by air on its wings is greater than its weight. Assuming the plane's forward velocity equals the belt's backward velocity, the plane will remain stationary relative to the surrounding air, and the lift force will be zero.
Answer: The plane doesn't move.
The only other explanation would assume that the plane is moving faster than the belt, turning it into a slowed-down and more expensive runway, in which case,
Answer: You're fucking dumb

>>10223058
Well, you're good with statistics, anyway.

>>10215213
2/5
A
pick the other door
the treadmill will have no effect on the plane (assuming the brakes aren't on)

I hate how in mythbusters when the plane started picking up speed moving forward they called it a day and watched it take off instead of increasing the speed of the belt to counteract the plane gaining speed relative to the ground

like fuck
I get upset

>>10223058

God you guys are so fucking retarded.


The plane one is fucking obvious. Its forward momentum is caused buy the propellor not the wheels. The only purpose of wheels on a plane is to reduce friction with the ground. Assuming the friction on wheels is low enough, (which it fucking should be) the propellor would just move the plane forward, thus giving it lift.


A metaphor, because you guys such brainlets would be rolling a ball down a sloped conveyor belt. The ball would go down because gravity doesn't give a shit about the conveyor belt because it exerts so little force on the ball.

>>10224576
Read about planes a bit you autist. The propeller pushes the plane forward but it creates no lift. Lift is created when the wings go faster relative to the air around them, which isn't the case in the pic.

>>10215213
>balls
It would appear that the probability is 50%, but you have to consider how likely the box you're picking from is to be the on with the two gold balls. If you were to pick one ball from a random box a very large number of times and looked at the instances when you picked a gold ball, you would find that you picked the gold ball from the box with two gold balls twice as often as you picked it from the box with one gold ball. In other words, if you picked a gold ball from the box, it's twice as likely to have another gold ball than a silver one, meaning the answer is 2/3.

>portals
Nonsensical question, depends on how the portals work.

>Monty Hall problem
Well known conditional probability problem, you should switch to double your chances. There is a 2/3 chance that the prize is behind the doors you didn't select; Monty Hall opening a door is basically equivalent to letting you chose to open the other two doors instead of the one your selected.

>plane on a treadmill
The question is unclear. If the treadmill is going at like mach 4 so that the wheels pose enough resistance to keep the plane stationary then it won't take off, because the wind blown over the wings by the propeller is not the same as the wind from actually moving through air. Also, the wheels would explode.
If the treadmill is moving at takeoff speed then the plane will of course move forward, and it could probably take of if you gave it a bit more power than usual.

>>10222991
It would be nice to have slow motion from cubes PoV. It should make it clear for everyone why does it work like that.

>>10222879
Too bad it's wrong, >>10215382 has it. It's not the amount of gold balls, it's the ratio distributed over the boxes.

>>10224606
>Lift is created when the wings go faster relative to the air around them, which isn't the case in the pic.
Why wouldn't it be, given everything that has just been explained to you? The propeller would still move the plane forward regardless of the conveyor belt, and it is this forward motion that creates lift.

>>10215213
>rewording the Monty Hall problem so that it's actually unambiguous

You idiot bastard.