Find the indicated probability.
-Of the 64 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 8 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) 0.094
B) 0.104
C) 0.537
D) 0.582

Question

Quizplus · Accepted Answer

First, we need to find the total number of males in the group, which is 6+8=14. Then, we need to find the total number of people who answered "yes" or were male (or both). To avoid double counting, we need to subtract the number of people who are both male and answered "yes". From the problem, we don't know how many males answered "yes", but we do know that there were 64 people who answered "yes", so the number of females who answered "yes" must be 64-6=58. Therefore, the total number of people who answered "yes" or were male (or both) is 58+14=72. Finally, we can find the probability by dividing this total by the total number of people in the group: 72/134 = 0.537. Thus, the best choice is C.

Find the Indicated Probability