question about probability

Question

of the 58 people who answered yes to aquetion 15 were male of the 63 people who answerd no to the quetion 9 were male if one person is selected at random from the group what is the probability that the person answered yes or was male round to the nearest thousnadths when necessary

Answer 1

Make a contingency table

Male Female Tot

Y 15 43 58

N 9 54 63

Tot 24 97 121

P(YES or MALE) = P(YES) + P(MALE) - P(YES AND MALE) = 58/121 + 24/121 - 15/121 = 67/121