Find the indicated Probability

Question

Of the 73 people who answered "yes" to a question, 14 were male. Of the 53 people that answered "no" to the question, 9 were male. If one person is selected at random from the group. what is the probability that the person answered "yes" or male?

 

Answer 1

Yes No

m 14 9

f 59 44

total 72+53 = 125

probability that someone answered yes or was male??

= P(yes) + P(male) - P(both)

= 72/125 + 23/125 - 14/125= 59/125 +23/125= 82/125

= 65.6% chance