What is the probability that a customer who gets a leash for their dog also gets their dog a treat? Round your answer to the nearest tenth of a percent.

Question

At a pet store, 67% of customers get a leash for their dog. Only 32% of customers get a leash for their dog and get their dog a treat. What is the probability that a customer who gets a leash for their dog also gets their dog a treat? Round your answer to the nearest tenth of a percent.

The probability is about ?%.

Answer 1

This is a problem in conditional probability...and much as I hate to use formulae this is a place where a formula actually helps.

P(A|B)=P(A and B)/P(B)

where A=event buys a least and B is event buys a least.

You are looking for the probability that a leash is purchased, given that a treat is purchased

The probability you want therefore is .32/.67 (or a little less that 1/2).