Question

A pet store has 11 ​puppies, including 5 ​poodles, 3 ​terriers, and 3 retrievers. If Rebecka and​ Aaron, in that​ order, each select one puppy at random without​ replacement, find the probability that Aaron selects a​ retriever, given that Rebecka selects a poodle.

Answer 1

Answer: 0.2066

Explanation:

Probability of Rebecka selecting a poodle = 5/11

Probability of Aaron selecting a poodle = 5/11

Both select one puppy at random with replacement, so their choices are independent.

Thus, probability that both select a poodle =
`(5/11)*(5/11)`

`= 25/121 \approx 0.2066 \ $or 20.66\%`