A pet store has 13 ​puppies, 4 ​poodles, 4 ​terriers, and 5 retrievers.

Question

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

Both Rebecka and Aaron choosing a poodle are independent events.

There are 4 poodles and 13+4+4+5=26 dogs. Probability of choosing a poodle is 4/26=2/13

Remember if two events A and B are independent then P(A ∩ B) = P(A)*P(B)

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