A group of students are asked to examine the performance of a local soccer team.

Question

A group of students are asked to examine the performance of a local soccer team. For this purpose, they first gather some data over a year. Looking at their data, they realize that the probability that this local soccer team wins a game and that the game day is rainy is equal to 20%. Also, the local weather data indicates that the probability that a game day is rainy is equal to 40%. Compute the probability that this local soccer team wins a game knowing that the game day is going to be rainy.

*Please show the work on how to get answer choice D*

a) 20%

b) 30%

c) 40%

d) 50% -> Answer

Explanation / Answer

Probability that this local soccer team wins a game and that the game day is rainy is equal to 20%.

P(A and B) = .20

probability that a game day is rainy is equal to 40%.

P(B) = .40

probability that this local soccer team wins a game knowing that the game day is going to be rainy. =

= P(A|B)

=P(A and B)/P(B)

= .20/,40

=.50

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