Q:

A department store is holding a drawing to give free shopping sprees to two lucky customers. There are 17 customers who have entered the drawing: live in the town of Gaston, live in Pike, and 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?

Accepted Solution

A:
Answer: Our required probability is 0.044.Step-by-step explanation:Since we have given that Number of customers who have entered the drawing = 17Number of customers live in the town of Gaston = 5Number of customers live in Pike = 4Number of customers live in Wells = 8The first customer will be selected and then second customer will be selected from the remaining .Probability of getting first customers are Pike residents = [tex]\dfrac{4}{17}[/tex]Probability of getting second customers are Pike residents = [tex]\dfrac{3}{16}[/tex]So, the probability that both customers selected are Pike residents are [tex]\dfrac{4}{17}\times \dfrac{3}{16}\\\\=0.044[/tex] Hence, our required probability is 0.044.