Question

a pet store has 6 puppies, including 2 poodles, 2 terriers, and 2 retrievers. if rebecca and aaron, in that order, each select one puppy at random without replacement, find the probability that aaron selects a retriever, given that rebecca selects a poodle.
the probability is
(type an integer or a fraction.)

Explanation:

Step1: Determine remaining puppies

Rebecca selects a poodle. Initially there are 6 puppies, after she selects 1 poodle, there are 5 puppies left.

Step2: Calculate probability

There are 2 retrievers among the remaining 5 puppies. The probability that Aaron selects a retriever is the number of retrievers divided by the number of remaining puppies. So the probability is $\frac{2}{5}$.

Answer:

$\frac{2}{5}$