[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 9 KB, 300x300, ainsley blackman.jpg [View same] [iqdb] [saucenao] [google]
2739943 No.2739943 [Reply] [Original]

Hi /sci/, I was wondering if you might be able to help me understand something. If the chances of getting singles is 1 in 10, what would the chances of triples and quads be?
Sorry for my idiocy, I've always been awful at this stuff.

>> No.2739956

triples is 1/100
quads is 1/1000

:)

>> No.2739963

Oh, it's just that simple? Alright, cheers!

>> No.2740040

>>2739956

No. That's the chance of getting a specific triple/quad or whatever.

Getting any double: 1/10.
Getting any triple: 1/100

etc.

>> No.2740046
File: 9 KB, 341x391, y5976576597659.png [View same] [iqdb] [saucenao] [google]
2740046

>>2740040
i see no difference.

>> No.2740048
File: 23 KB, 500x375, special stupid.jpg [View same] [iqdb] [saucenao] [google]
2740048

>>2740040

>mfw you said no but provided the same answer.

>> No.2740050

>>2739943
>If the chances of getting singles is 1 in 10

i didn't spot this before...
chance of singles is 9/10
chance of doubles is 1/10

>> No.2740072

hey!
the chance of getting a specific triple is the same chance of getting any quad.

...coincidence?

>> No.2740093

>>2740072
It's not a coincidence; God wanted it that way you faithless heathen.

>> No.2740102
File: 24 KB, 341x341, deltron3030.jpg [View same] [iqdb] [saucenao] [google]
2740102

To calculate probabilities you look for the number of desired outcomes divided by the total number possible.

For singles, that means the last two digits are different. So the last digit can be any number that is not the second to last digit. All are true except for 11 22 33 44 55 66 77 88 99 00, which are 10 possible out of 100. So (100 -10)/100 = 9/10 for singles.

For doubles, It is the opposite. 10/100 = 1/10. But there is a 1 percent chance that any given double is also a trip. So you gotta remove that possibility. (10-1)/100 = 9/100 for doubles.

Similarly, there are 10 combinations out of 1000 that are trips. 000 111 222 333 444 555 666 777 888 999. So prob of getting a trip is 10/1000 = 1/100. But there is a one chance out of 1000 that this trip is also a quad, so you subtract that prob. So really it breaks down like this.

P(singles, doubles, trips, quads) =
9/10 + 9/100 + 9/1000 + 1/1000 = 1

This is assuming you don't care about anything more amazing than quads. If you did, then the pattern would continue with 9 over some factor of 10 to the Nth power, where N is the digit place you are asking about.