Math Is Fun Forum

cshell

Guest

favorable outcome

choose 6 numbers from 49; with 100 tries.  what is the chance of winning and why?

macy

Guest

Re: favorable outcome

Correct me if i am wrong but I think this is the binomial distribution with:

N = 100
Probability for getting the number = 1/49
Define X is the number of winning number, then we have

Pr (X = 6) = 100C6 x 1/49^6 x 48/49^49-6  Where 100C6 = 100!/ 6! (100 - 6)!

TheDude

Member

Registered: 2007-10-23

Posts: 361

Re: favorable outcome

With 1 try your chance of winning is 6/49 * 5/48 * 4/47 * 3/46 * 2/45 * 1/44 = 1/13983816.  This means that your chances of not winning in 1 try are 13983815/13983816.  Raise this number to the 100th power to find your chances of not winning in 100 tries, then subtract this number from 1 to find the chances of winning at least once in 100 tries.  The final answer will be: 1 - (13983815/13983816)^100.

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Wrap it in bacon

macy

Guest

Re: favorable outcome

I think you are correct. The Dude