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

Question

Mathematics

Shawn Booker

2 May, 12:10

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

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Answers (1)

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Tamia Stewart · Answer 1

78%

Step-by-step 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%