Question

at the avonlea country club, 73% of members play chess and play basketball, and 82% play chess. If a member is selected at random, find the probabiltity that the member playing basketball, given that the member plays chess

Answer 1

The probability that a member of the Avonlea Country Club plays basketball given that they play chess is approximately 89.02%.

Step-by-step explanation:

The question asks for the probability that a randomly selected member of the Avonlea Country Club plays basketball, given that they play chess. We are given two probabilities:

• The probability that a member plays both chess and basketball is 73%.
• The probability that a member plays chess is 82%.

To find the probability that a member plays basketball given they play chess, we use the formula for conditional probability: P(A|B) = P(A ∩ B) / P(B), where A is the event of playing basketball and B is the event of playing chess.

Substituting the given probabilities, we have P(A|B) = 0.73 / 0.82. Simplifying this fraction gives us the probability that a member plays basketball given they play chess.

Thus, P(A|B) = 0.8902 or about 89.02%