Question

Fifty dash two percent of people in a certain country like to cook and 54​% of people in the country like to​ shop, while 28​% enjoy both activities. What is the probability that a randomly selected person in the country enjoys cooking or shopping or​ both? The probability that a randomly selected person in the country enjoys cooking or shopping or both is

Answer 1

78%

Explanation:

Given the information, we can write:

P(cook) = 52%

P(shop) = 54%

P(cook and shop) = 28%

Now, we need to find P(cook or shop).

We need probability formula for general addition rule, which is:

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

We can take "cooking" and Event "A" and "shopping" as Event "B".

Thus, we write:

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

P(A or B) = 0.52 + 0.54 - 0.28

P(A or B) = 0.78

Which is 78%