In a certain town, 40% of the men have brown hair, 25% have brown eyes, and 15% have both brown hair and brown eyes. A man is selected at random from the town. Calculate the probability that he has brown hair or brown eyes.

Answer 1

To calculate the probability that the man selected has brown hair or brown eyes, we can use the formula:

P(brown hair or brown eyes) = P(brown hair) + P(brown eyes) - P(brown hair and brown eyes)

We are given that:
P(brown hair) = 0.40
P(brown eyes) = 0.25
P(brown hair and brown eyes) = 0.15

Plugging these values into the formula:

P(brown hair or brown eyes) = 0.40 + 0.25 - 0.15
P(brown hair or brown eyes) = 0.40

Therefore, the probability that the man selected has brown hair or brown eyes is 0.40 or 40%.