Question

11. Two players Aaron and Ben play a series of games against eachother. In each game both have an equal chance of winning. Whoever wins 5 games first gets a prize. What is the probability of A getting the prize in exactly 7 games.

Answer 1

If u want your answer to be a fraction -> 15/128

If u want your answer to be in decimal form -> 0.1171875

Explanation:

Two players Aaron and Ben play a series of games against eachother. In each game both have an equal chance of winning. Whoever wins 5 games first gets a prize. What is the probability of A getting the prize in exactly 7 games.

P(Aaron wins prize in exactly 7 games) = (6/4) x 0.5 x 0.5 x 0.5 = 15/64 x 1/2 = 15/128

Therefore, the probability of Aaron winning the prize in exactly 7 games is 15/128.