Question

A pet store has 10 ​puppies, including 3 ​poodles, 4 ​terriers, and 3 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 they both select a poodle

Answer 1

The probability that both Rebecka and Aaron select a poodle from the pet store is 9/100 or 0.09.

Step-by-step explanation:

To find the probability that both Rebecka and Aaron select a poodle, we must consider the probability of Rebecka selecting a poodle and then multiply it by the probability of Aaron also selecting a poodle. Since the selection is with replacement, the probabilities remain the same for each selection.

There are 3 poodles out of 10 puppies. The probability of selecting a poodle is therefore 3/10.

Now, since the selections are independent and with replacement, the probability that both Rebecka and Aaron select a poodle is:
(3/10) × (3/10) = 9/100.

So, the probability that they both select a poodle is 9/100 or 0.09.