A pet store has 11 ​puppies, including 4 ​poodles, 5 ​terriers, and 2 retrievers. If Rebecka and​ Aaron, in that​ order, each select one puppy at random with replacement​ (they may both select the same​ one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.

Respuesta :

The probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

How to determine the probability?

The distribution of the puppies is given as:

4 ​poodles, 5 ​terriers, and 2 retrievers

The probability of selecting a terrier is;

P(terrier) = 5/11

The probability of selecting a retriever is;

P(retriever) = 2/11

The required probability is

P = 5/11 * 2/11

Evaluate

P = 10/121

Hence, the probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

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