Question 88827
A state lottery is designed so that a player chooses six numbers from 1-30 on one lottery ticket.  What is the probability that a player with 1 lottery ticket will win?  What is the probability of winning if 100 different tickets are purchased?
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Repetition is not allowed on lottery tickets, so there are 
30C6 = 593,775 different 6-number sets.
Prob of winning with 1 ticket = 1/593,775
Prob of winning with 100 tickets = 100/593,775 = 1/5938

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Cheers,
Stan H.