Question

A department store is holding a drawing to give away free shopping sprees there are nine customers who have entered the drawing two live in the town of Gaston 5 live in Pike and two Live in Wells two winners will be selected at random what is the probability that both winners live in Gaston?

Answer 1

1/36

Explanation:

The probability that the first winner lives in Gaston is 2/9. The probability that the second winner lives in Gaston is 1/8, the number of remaining Gastonites divided by the total number remaining in the pool.

Then the probability of both of these events is the product:

P(2 from Gaston) = (2/9)(1/8) = 2/72 = 1/36

The probability both are from Gaston is 1/36.