SOLUTION: 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 th

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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?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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.