Question

A pet store has 12 puppies, including 2 poodles,5 terriers, and 5 retrievers. If Rebecca selects one puppy at random, the pet store replaces the puppy with a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle

Answer 1

To answer this question we will use the following expression to compute the probability that an event occurs:

`(FavorableOutcomes)/(TotalOutcomes).`

Then, the probability that Rebecca selects one poodle is:

`(2)/(12).`

Simplifying the above result we get:

`(1)/(6).`

Since the pet store replaces the puppy with a puppy of the same breed, then the probability that Aaron selects one poodle is:

`(2)/(12)=(1)/(6).`

Therefore the probability that they both select a poodle is:

`(1)/(6)*(1)/(6)=(1)/(36).`

Answer:

`(1)/(36).`