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in a lottery game, a player picks 8 numbers from 1 to 45. if 7 of the 8 numbers match those drawn, the player wins second prize. what is the probability of winning this prize?

User Weibenfalk
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\displaystyle\\|\Omega|=\binom{45}{8}=(45!)/(8!37!)=(38\cdot39\cdot\ldots\cdot45)/(2\cdot3\cdot\ldots\cdot 8)=215553195\\|A|=\binom{8}{7}=8\\\\P(A)=(8)/(215553195)

User Prongs
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