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/sci/ - Science & Math

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7625577

Anonymous Fri Oct 30 03:37:10 2015 No.7625577 [Reply] [Original]

What is the probability of something of 1/n chance occuring at least once in n times?

>>	None !!zzZZJ1pe5rt Fri Oct 30 03:37:50 2015 No.7625579 Yes

>>	Anonymous Fri Oct 30 03:42:06 2015 No.7625584 -1/12

>>	Anonymous Fri Oct 30 03:47:38 2015 No.7625592 >>7625577 1 - (1-(1/n))^n

>>	Anonymous Fri Oct 30 03:48:04 2015 No.7625593 1-((n-1)/n)^n

>>	Anonymous Fri Oct 30 03:53:17 2015 No.7625603 [eqn]\sum_{k=1}^n {n \choose k} \left( \frac{1}{n} \right)^k \left( \frac{n-1}{n} \right)^{n-k}[/eqn]

>>	Anonymous Fri Oct 30 03:54:29 2015 No.7625605 >>7625593 >>7625592 At large numbers this is aproximately 63.212%, what the fuck, why is that?

>>	Anonymous Fri Oct 30 04:01:02 2015 No.7625611 >>7625605 ((n-1)/n)^n=e^(-1) so 1-e^(-1) ~ .6321

>>	Anonymous Fri Oct 30 04:02:04 2015 No.7625613 >>7625611 >>7625605 Correction:The first part should be as n tends to infinity.

>>	Anonymous Fri Oct 30 04:02:23 2015 No.7625614 >>7625605 Do you want to know why it is that formula or why is it 63%?

>>	Anonymous Fri Oct 30 04:02:49 2015 No.7625615 >>7625614 Why its 63%

>>	Anonymous Fri Oct 30 05:02:12 2015 No.7625678 100% 1/N*N=N/N=1/1

>>	Anonymous Fri Oct 30 05:52:36 2015 No.7625702 >>7625577 binomial distribution. look it up.

>>	Anonymous Fri Oct 30 05:54:00 2015 No.7625703 50% always. It will or it won't.

>>	Anonymous Fri Oct 30 07:34:16 2015 No.7625777 >>7625577 Once... in n times? 1/n