Question

A department store is holding a drawing to give free shopping sprees to two lucky customers. There are 15 customers who have entered the drawing: 5 live in the town of Gaston, 6 live in Pike, and 4 live in Wells. In the drawing, the first customer will be selected at random, and then the second customer will be selected at random from the remaining customers. What is the probability that both customers selected are Pike residents?

Answer 1

There are a total of 15 customers, so the probability of selecting any one customer at random is 1/15.

If the first customer selected is a Pike resident, there are 6 Pike residents remaining out of a total of 14 customers remaining. So the probability of the second customer being a Pike resident, given that the first customer was a Pike resident, is 6/14.

Therefore, the probability of both customers selected being Pike residents is:

(6/15) * (6/14) = 0.1714 or approximately 0.17 (rounded to two decimal places).

So the probability that both customers selected are Pike residents is approximately 0.17.