a pet store has 10 puppies,including 2 poodles,5 terriers and 3 retrievers. If R

Question

a pet store has 10 puppies,including 2 poodles,5 terriers and 3 retrievers. If Rebecca and Aaron, in that order each select one puppy at random without replacement,find the probability that Aaron selects a retriever, given that Rebecca selects a poodle. a pet store has 10 puppies,including 2 poodles,5 terriers and 3 retrievers. If Rebecca and Aaron, in that order each select one puppy at random without replacement,find the probability that Aaron selects a retriever, given that Rebecca selects a poodle. a pet store has 10 puppies,including 2 poodles,5 terriers and 3 retrievers. If Rebecca and Aaron, in that order each select one puppy at random without replacement,find the probability that Aaron selects a retriever, given that Rebecca selects a poodle.

Explanation / Answer

Solution:

Since there are 10 puppies total and 2 of them are poodles,

there 2 chances out of 10 for Rebecka to choose a poodle.

Since the choices are done without replacement, there are now 9 left and 3 possibilities from which Aaron to choose.

Since we want to calculate the probability that Aaron selects a retriever, given that Rebecca selects a poodle.,

we use the multiplication rule which tells us to multiply the individual probabilities. There

P(Rebecka and Aaron choose a poodle) = (2/10)(3//9) = 1/15

Answer: 1/15

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