A pet store has 9 ​puppies, including 3 ​poodles, 4 ​terriers, and 2 retrievers. If Rebecka 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

The probability of Rebecka selecting a poodle is 3/9 = 1/3, since there are 3 poodles out of 9 puppies.

Once Rebecka selects a puppy and it is replaced with a poodle, the pet store will have 3 poodles out of 9 puppies again, so the probability of Aaron selecting a poodle is also 1/3.

Therefore, the probability that they both select a poodle is:
(1/3) * (1/3) = 1/9

So, the probability that they both select a poodle is 1/9.