Question

A pet store has 12 ​puppies, including 6 ​poodles, 5 ​terriers, and 1 retriever. Rebecka and​ Aaron, in that​ order, each select one puppy at random without replacement. Find the probability that Aaron selects a​ retriever, given Rebecka selects a retriever.

Answer 1

The correct answer is zero.

Explanation:

There are 12 different breeds of puppies in a pet store which includes 6 poodles, 5 terriers and 1 retriever.

Rebecka and Aaron picks two puppies where Rebecka makes the first pick followed by Aaron.

This draw draw done by Rebecka is carried out without replacement.

Probability that Rebecka selects a retriever is
`(1)/(12)`.

Now Aaron is to pick a puppy. We need to find the probability that he picks a retriever. This is an impossible event as there is just one retriever in the puppy store and that has already been picked up by Rebecka without replacement. Thus the probability is zero.

Therefore the probability that Aaron selects a​ retriever, given Rebecka selects a retriever is zero.