Question

One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?

Answer 1

0.39 = 39% of probability

Explanation:

When you need to calculate probabilities involving "or" questions, in general you should use the following formula:
`P(A or B) = P(A) + P(B) - P(A and B)`, where P(A) is the probability of event A and P(B) is the probability of event B.

In the problem given, P(A) = yes and P(B) = male, then:

P(yes) = 33/100 = 0.33

P(male) = 20/100 = 0.20 (all male that answered the question)

P(yes and male) = 14/100 = 0.14 (all male that answered yes to the question)

P(yes or male) = P(yes) + P(male) - P(yes and male) = 0.33+0.20-0.14 = 0.39 =39%