C13: What is the probability that a randomly selected person in the country enjoys cooking or shopping or​ both?

Question

Fifty-four percent of people in a certain country like to cook and 52​% of people in the country like to​ shop,while 22​% enjoy both activities. What is the probability that a randomly selected person in the country enjoys cooking or shopping or​ both?

Answer 1

P(A or B) = P(A) + P(B) - P(A and B)

If you draw a simple Venn diagram with2 overlapping circle, you will see immediately why this is true.

Now you can take the numbers in the problem and get the answer.