If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that both select a poodle.

Question

A pet store has 14 puppies, including 5 poodles, 5 terriers, and 4 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that both select a poodle.

Answer 1

Hi Cheryl

 

Since there are 14 puppies total and 5 of them are poodles, there 5 chances out of 14 for Rebecka to choose a poodle. Since the choices are done without replacement, there are now 13 left and 4 possibilities from which Aaron to choose. Since we want to calculate the probability that BOTH of them choose a poodle, we use the multiplication rule which tells us to multiply the individual probabilities. There

 

                      P(Rebecka and Aaron choose a poodle) = (5/14)(4/13) = 10/91 

Answer 2

(5c1*4c1)/(14c1*13c1) = 10.99%