A pet store has 12 ​puppies, including 4 ​poodles, 5 ​terriers, and 3 retrievers.

Question

A pet store has

12

​puppies, including

4

​poodles,

5

​terriers, and

3

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

4/12 are poodles. Chance get a poodle is 4/12 = 1/3

Replaced with poodle, so still 4/12 are poodles and chance get a poodle is again 4/12 = 1/3

Chance get a poodle both times is 1/3 * 1/3 = 1/9.