Forty-five percent of Americans like to cook and 59% of Americans like to shop, while 23% enjoy both activities. What is the probability that a randomly selected American either enjoys cooking or shopping or both
Forty-five percent of Americans like to cook and 59% of Americans like to shop, while 23% enjoy both activities. What is the probability that a randomly selected American either enjoys cooking or shopping or both
The question can not mean that 45% like only to cook, and 59% like only to shop, each exclusive of the other... the groups must overlap because the total is more than 100%. That means we can disregard the 23% because each of those is already accounted for within the other two groups. So that leaves the problem of the 45% cookers and the 59% shoppers. Since we don't know the extent of their overlap, I think there isn't enough information to solve the problem under the conditions. I hope I'm wrong and somebody else can solve it. I'll be interested to learn how.
+33616 "Forty-five percent of Americans like to cook and 59% of Americans like to shop, while 23% enjoy both activities. What is the probability that a randomly selected American either enjoys cooking or shopping or both"
22% only like to cook, 36% only like to shop, 23% like to do both (22+23 = 45; 36+23 = 59), so 19% don't like either. Hence probability of choosing one who likes one or the other or both is 1-0.19 or 0.81
