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

Step-by-step 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 = $(5/11)\times(5/11)$

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