Melissa is looking for the perfect man.She claims that of the men at her college,36% are smart,26% are funny,and 13% are both smart and funny.If Melissa is right,what is the probability that a man chosen at random from her college is neither funny nor smart?
A)0
B)0.87
C)0.64
D)0.51
E)0.38

Question

Quizplus · Accepted Answer

To find the probability that a man is neither smart nor funny, we use the formula for the union of two events: P(Smart ∪ Funny) = P(Smart) + P(Funny) - P(Smart ∩ Funny). This gives us 0.36 + 0.26 - 0.13 = 0.49. The probability of neither event occurring is 1 - P(Smart ∪ Funny) = 1 - 0.49 = 0.51.

Melissa Is Looking for the Perfect Man