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.
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%.