Forty dash one percent of people in a certain country like to cook and 68 % of people in the country like to shop, while 14 % enjoy both activities. What is the probability that a randomly selected person in the country enjoys cooking or shopping or both?

Question

Courtney Mcknight

Mathematics

27 March, 16:28

Forty dash one percent of people in a certain country like to cook and 68 % of people in the country like to shop, while 14 % enjoy both activities. What is the probability that a randomly selected person in the country enjoys cooking or shopping or both?

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Answers (1)

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Declan Doyle · Answer 1

0.86 or 86%

Step-by-step explanation:

The data given represent 41% of people in a certain country like to cook and 68% of people in the country like to shop, while 14% enjoy both activities.

The probability that a randomly selected person in the country enjoys cooking or shopping or both.

People who like to cook P (C) = 41% = 0.40

People who like to shopping P (S) = 68% = 0.60

People who like cooking and shopping both P (C∩S) = 14% = 0.14

People who like cooking or shopping or both = P (C∪S)

= P (C) + P (S) - P (C∩S)

= 0.40 + 0.60 - 0.14

= 0.86

The probability that a randomly selected person in the country enjoys cooking or shopping or both is 0.86 or 86%