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: 4 live in the town of Gaston, 6 live in Pike, and 5 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 Wells residents?

Report your answer as an exact fraction.

Is this Probability of dependent events? If so i only have the formula for independent evets. Can someone helo me? Thanks

looks like

(5/15)(4/14) or 2/21 to me

I got 2/21 thanks for the input

Yes, this is an example of dependent events since the second customer is being selected from the remaining customers after the first customer has been selected. To calculate the probability, you can follow these steps:

Step 1: Determine the total number of ways the first customer can be selected. Since there are 15 customers in total, the first customer can be any one of the 15 customers.

Step 2: Determine the number of ways the first customer can be a Wells resident. Since there are 5 Wells residents, the first customer can be one of these 5 customers.

Step 3: After the first customer has been selected, there will be 14 customers remaining, including 4 Gaston residents, 6 Pike residents, and 4 Wells residents.

Step 4: Determine the number of ways the second customer can be a Wells resident, given that the first customer was a Wells resident. Since there are now 4 Wells residents remaining out of the 14 remaining customers, the second customer can be one of these 4 customers.

Step 5: Calculate the probability as the ratio of the number of favorable outcomes (both customers selected are Wells residents) to the total number of possible outcomes.

Probability = (Number of ways both customers are Wells residents) / (Number of ways the first customer is selected)

Probability = (5/15) * (4/14)

Simplifying the expression, we get:

Probability = (1/3) * (2/7)

Hence, the probability that both customers selected are Wells residents is 2/21.