In a lottery game, a player picks 8 numbers from 1 to 52. If 7 of...
In a lottery game, a player picks 8 numbers from 1 to 52. If 7 of the 8 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a fraction in order to earn credit.
Homework Answers
Total numbers are 1 to 52.
Players picks up 8 numbers which can be done in 52C8 ways
For winning 7 numbers need to be from the winning group of 8 numbers.
No of ways in which these 7 numbers can be picked = 8C7 ways
P(players getting a winning set) = total number of favourable outcomes / no of outcomes
P(players getting a winning set) = 8C7 / 52C8
P(players getting a winning set) = 8 / 752538150 = 4/ 376269075
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