Of the 54 people who answered "yes" to a question, 12 were male. Of the 46 people that answered "no" to the question, 12 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
A) 0.78
B) 0.24
C) 0.222
D) 0.66

Question

Quizplus · Accepted Answer

The probability of selecting someone who answered "yes" is 54/100. The probability of selecting a male is (12+12)/100 = 24/100. The probability of selecting someone who answered "yes" and is male is 12/100. Using the formula for the probability of A or B: P(A or B) = P(A) + P(B) - P(A and B), we get 54/100 + 24/100 - 12/100 = 66/100 = 0.66.

Of the 54 People Who Answered "Yes" to a Question