Question

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?

Answer 1

`\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)`