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/sci/ - Science & Math

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12476282 No.12476282 [Reply] [Original]

Answer me this: What are the odds of guessing in which room someone you know is in? Mathematically speaking it is 0. But, if we go through the full hotel thing where every visitor goes to the next room, so your known one can enter the hotel, won't they be on room 1? So if you guess that the room your close one is, is 1, then you beat a 0% odd of guessing.

>> No.12476298

>>12476282
probability of your friend being in the first room if we know he's not in any other room is 1

>> No.12476299

>>12476282
1/infinity

>> No.12476302
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12476302

That just means you are really lucky.

>> No.12476410
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12476410

>>12476282
>infinity

>> No.12476413

>>12476282
If they are in a random room then the chance is 0
If you know which room they are in then the chance is 1
It's not rocket science.

>> No.12476604

You pick a ball from a box, and it's a gold ball. What's the probability that you picked a gold ball?

>> No.12477420

Probability that your friend is in room 1 = 0
Probability that your friend is in room 2 = 0
Probability that your friend is in room 3 = 0
...
Probability that your friend is in some room = 1
...
0+0+0...=1
did we just break math?

>> No.12478299

>>12477420

room 1 = 1/infinity
room 2 = 1/(infinity-1) = 1/infinity
....
1/infinity+1/infinity+1/infinity.... = infinity(1/infinity)
infinity(1/infinity) = 1 QED

>> No.12478352

>>12477420
It means you don't understand basic probability. There's a proof for why your intuition is wrong at the end of chapter 1 of Rosenthal.

>> No.12478361

I think OP is wrong, but I think the better way to ask what he's trying to say is this

If you are randomly assigned into a room, what is the chance of your friend guessing which room you're in.

At least that makes the seeming paradox more clear, because if you were in room 1, you'd know they'd be a decent chance. Problem is, again, that there's (in a mathematical sense) a 0% chance of being in room 1, there's also a 0% chance of being in any room under any finite value.

I think OP is assuming 1 is part of infinity, which it is, but it's an infinitely small part of infinity.

>> No.12478368

>>12478361
We understood OP very clearly, we don't need a namefag for that. Why are you namefags all the same?

>> No.12478377

>>12478368
Somebody asked me to in the RQM thread, forgot to turn it off because I never use the shit