Question

A pet store has 10 ​puppies, including 2 ​poodles, 4 ​terriers, and 4 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.

The probability is
  

Answer 1

[AI-generated answer — Bot GPT 3.5]

\(P(\text{Rebecka selects a poodle}) = \frac{2}{10} = \frac{1}{5}\)

After Rebecka selects a puppy, there are now 3 poodles out of 10 puppies in the store.

\(P(\text{Aaron selects a poodle}) = \frac{3}{10}\)

Therefore, the probability that they both select a poodle is:

\(P(\text{Rebecka selects a poodle}) \times P(\text{Aaron selects a poodle}) = \frac{1}{5} \times \frac{3}{10} = \frac{3}{50}\)