SOLUTION: 100 players in a football pool each week 16 weeks in a season What is the probability of the same player winning more than one week in the season?

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Question 815326: 100 players in a football pool each week
16 weeks in a season
What is the probability of the same player winning more than one week in the 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 more than one week) = 1 - P(all losses) = 1 - %2816C0%29%28.01%29%5E0%28.99%29%5E16
= 1 - .8515
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