In a lottery game, a player picks 8 numbers from 1 to 49. If 6 of those 8 numbers match those drawn, the player wins third prize. Let's walk through the steps to determine the probability of winning third prize. In how many ways can 6 winning numbers be chosen from the possible 8 numbers? In how many ways can 2 non-winning numbers be chosen from the pool of all non-winning numbers? The number of favorable outcomes would be to multiply the above two answers together, since we want 6 winning numbers and 2 non-winning numbers. What is the number of favorable outcomes? In how many ways can you pick any 8 numbers from the pool of 49 numbers? This is your total outcomes. . What is the probability of winning third prize? (Round to 5 decimal places.)
In a lottery game, a player picks 8 numbers from 1 to 49. If 6 of those 8 numbers match those drawn, the player wins third prize. Let's walk through the steps to determine the probability of winning third prize.
In how many ways can 6 winning numbers be chosen from the possible 8 numbers?
In how many ways can 2 non-winning numbers be chosen from the pool of all non-winning numbers?
The number of favorable outcomes would be to multiply the above two answers together, since we want 6 winning numbers and 2 non-winning numbers. What is the number of favorable outcomes?
In how many ways can you pick any 8 numbers from the pool of 49 numbers? This is your total outcomes. .
What is the probability of winning third prize? (Round to 5 decimal places.)
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