Question

Of the 84 people who answered "yes" to a question, 14 were male. Of the 73 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? Round to the nearest thousandth

Answer 1

0.611

Explanation:

First, we need to get the total of people who answered the question in the poll.

In this case:

84(yes) + 73(no) = 157 people

With this we can know the probability of the people who only answered yes in the question, which is:

84/157

Now, we need to know the number of these people, who were male, regardless of his answer.

14 said yes and 12 said no, so: 14 + 12 = 26

the probability of this is: 26/157

Now from this group, only 14 said yes and were male so:

14/157

Finally to get the probability of choose a person that answered yes or was male is:

P = P(male) + P(yes) - P(male and said yes)

P = 84/157 + 26/157 - 14/157

P = 96/157 = 0.611464968 and rounded to the nearest thousandth it would be 0.611.

Answer 2

.611

Explanation:

there were 84 people who answered yes plus an additional 12 men who said no. Add these up and you get 96. Divide that number by the number of people which is 157 and you get .611 rounded up.