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Part 1
A pet store has 9 puppies, including 2 poodles, 5 terriers, and 2 retrievers. 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.
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Part 1
The probability is
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To find the probability that both Rebecka and Aaron select a poodle, we first calculate the probability of Rebecka selecting a poodle, which is 2 poodles out of a total of 9 puppies: 2/9.
After Rebecka selects a poodle, the pet store replaces the puppy with another puppy of the same breed. So now there are 2 poodles out of a total of 9 puppies again.
Therefore, the probability of Aaron selecting a poodle after Rebecka has selected one is also 2/9.
To find the probability that both events occur, we multiply the probabilities together:
(2/9) * (2/9) = 4/81
So, the probability that both Rebecka and Aaron select a poodle is 4/81.