A department store is holding a drawing to give away free shopping sprees. There are 9 customers who have entered the drawing: 3 live in the town of Gaston, 4 live in Pike, and 2 live in Wells. Two winners will be selected at random. What is the probability that both winners live in Wells? Write your answer as a fraction in simplest form.
There are a total of 9 customers who entered the drawing. To find the probability of selecting two winners who live in Wells, we need to see how many ways we can choose 2 winners out of the 2 who live in Wells, divided by the total number of ways to choose any 2 winners.
The number of ways we can choose 2 out of 2 customers who live in Wells is 1 (there is only one possible combination). The total number of ways to choose any 2 customers from 9 is:
9 choose 2 = (9*8) / (2*1) = 36
Therefore, the probability of selecting 2 winners who live in Wells is:
1/36
Answer: 1/36