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A pet store has 12 puppies, including 2 poodles,5 terriers, and 5 retrievers. If Rebecca 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

Sagot :

To answer this question we will use the following expression to compute the probability that an event occurs:

[tex]\frac{FavorableOutcomes}{TotalOutcomes}.[/tex]

Then, the probability that Rebecca selects one poodle is:

[tex]\frac{2}{12}.[/tex]

Simplifying the above result we get:

[tex]\frac{1}{6}.[/tex]

Since the pet store replaces the puppy with a puppy of the same breed, then the probability that Aaron selects one poodle is:

[tex]\frac{2}{12}=\frac{1}{6}.[/tex]

Therefore the probability that they both select a poodle is:

[tex]\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}.[/tex]

Answer:

[tex]\frac{1}{36}.[/tex]

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