document.write( "Question 815326: 100 players in a football pool each week
\n" ); document.write( "16 weeks in a season
\n" ); document.write( "What is the probability of the same player winning more than one week in the season?\r
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Algebra.Com's Answer #490877 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( " 100 players in a football pool each week.
\n" ); document.write( "p = 1/100 chances of winning = .01 Losing q = .99
\n" ); document.write( "P(winning more than one week) = 1 - P(all losses) = 1 - \"%2816C0%29%28.01%29%5E0%28.99%29%5E16\"
\n" ); document.write( " = 1 - .8515
\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively.
\n" ); document.write( "In this case p= .01 & q = .99
\n" ); document.write( "nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"
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