Question

A department store is holding a drawing to give away free shopping sprees. There are 10 customers who have entered the drawing: 6 live in the town of Gaston,2 live in Pike, and 2 live in Wells. Two winners will be selected at random. What is the probability that the first winner lives in Gaston and the second lives inPike? Write your answer as a fraction in simplest form.

Answer 1

Okay, here we have this:

Considering the provided information, we are going to calculate the requested probability, so we obtain the following:

Probability that the first winner lives in Gaston and the second lives in Pike= Number of people living in Gaston/Total number * Number of people living in Pike/(Total number-1)

Replacing:

Probability that the first winner lives in Gaston and the second lives in Pike= (6/10) * (2/9)=12/90

Probability that the first winner lives in Gaston and the second lives in Pike= 2/15