SOLUTION: What are the odds of winning a 100 man NFL weekly football pool twice in a 16 team season?

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Question 815258: What are the odds of winning a 100 man NFL weekly football pool twice in a 16 team season?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 100 players in a football pool each week.  

p = 1/100 chances of winning = .01  Losing q = .99

P(winning twice)  = %2816C2%29%28.01%29%5E2%28.99%29%5E14 = .01 to the nearest one-hundredth

p(not winning twice) 1 - .01 = .99

ODDS of winning twice: 1 in a hundred.

                                                  

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively. 

In this case p= .01 & q = .99

nCx = n%21%2F%28x%21%28n-x%29%21%29