Question

GHIJKLM Sup, use the probability of a person owning a pet is independent and the probability a person owns a cat is 32% and the probability of a person owning a dog is 28%. The probability of a person owning both a cat and a dog is 15%. a. Find the probability of a person having a cat or a dog. answer: b. Find the probability of a person having neither a cat nor a dog. answer: C. Suppose you and a friend are thinking of sharing a apartment, what is the probability that you both own a cat? answer: d. What is the probability you own a cat given you own a dog? answer:

Answer 1

Soln Probability of a person owning a bet cat . (say A.) = 0.32 Рw babium ч а разхот выдууч, а во (say B) = 0.28 Probability of a person owning both a dog and a cat (say PLANB)) = 0.15 o a) Probability of a person having a cat or deg = 45% :P(AUB) = PCA) + PCB) - Plane) = 0.32 +0:28 -0.15 =0.45 b) Probabicity of a person having neither a cat nor a dog = 55% P ÃO B) = 1- P(AUB) = 1 - 0:45 = 0.55 since persom owning a bet is independent so probabicity that both own cat = 10% =0.32X0.32 = 0.10 d) Probability you own a cat gives you own a . dug = 56% P MIB) = P(ans) = b 20:54 0.28