[tex]P = 1/25 or P = 0.04[/tex]
This is an example of probability problem with
replacement. The pet store has 10 puppies so the sample size is 10. The event
size is depending on the number of puppies in each breed. Therefore, the event
size is 2 for poodles, 3 for retrievers and 5 for terriers. Rebecka chooses a
puppy at random and the probability that it is a poodle is 2/10 or 1/5. Since
the store replaces the chosen puppy with the puppy of the same breed, the
remaining sample size is still 10 and the event size is still the same.
Therefore, the probability that Aaron chooses a poodle is still 2/10 or 1/5.
For two dependent events, their probabilities are multiplied. Therefore, the
probability that both select a poodle is 1/25.
