Question

Country Club Activities At the Avonlea Country Club, 67% of the members play bridge and swim, and 86% play bridge. If a member is selected at random, find the probability that the member swims, given that the member plays bridge. Please round the final answer to 2 or 3 decimal places.

Answer 1

Answer: 0.78

Explanation:

Given : P(bridge and swim) = 0.67

P(bridge)= 0.86

Formula for conditional probability :

`P(B|A)=\frac{P(\text{A and B})}{P(A)}`

So,
`\text{P(swim }|\text{ bridge) = }\frac{\text{ P(bridge and swim)}}{\text{P(bridge)}}`

`=(0.67)/(0.86)\approx0.78`

Hence, the probability that the member swims, given that the member plays bridge = 0.78