Answer:
55.2%
Step-by-step explanation:
We have that 74 people answered yes and 71 answered no. So the total number of people who answered the question was 74 + 71 = 145.
Now, of those 145, 74 answering yes, then the probability of saying yes is:
P (Y) = 74/145
We know that 21 (15 + 6) are men, therefore the probability of being a man is:
P (M) = 21/145
Finally, we also know how many people answering that yes, they are men, they are 15, therefore the probability is:
P (Y and M) = 15/145
Finally, we use the "sieve" formula, for the probability that he is a man or that he answered yes.
P (Y or M) = P (Y) + P (M) - P (Y and M)
Replacing we have:
P (Y or M) = 74/145 + 21/145 - 15/145
P (Y or M) = 80/145
P (Y or M) = 0.552
In other words, the probability is 55.2%
