SOLUTION: A department store is holding a drawing to give away free shopping sprees. There are
customers who have entered the drawing:
2 live in the town of Gaston,
5 live in Pike, and
Algebra ->
Probability-and-statistics
-> SOLUTION: A department store is holding a drawing to give away free shopping sprees. There are
customers who have entered the drawing:
2 live in the town of Gaston,
5 live in Pike, and
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Question 1122589: A department store is holding a drawing to give away free shopping sprees. There are
customers who have entered the drawing:
2 live in the town of Gaston,
5 live in Pike, and
3 live in Wells. Two winners will be selected at random. What is the probability that both winners live in Pike? Write your answer as a fraction in simplest form.
The probability that the first ticket was drawn for a customer from Pike is the number of people in the drawing from Pike divided by the total number of people in the drawing, namely 2 plus 5 plus 3, or 10. If the first ticket IS for a person from Pike, then the probability that the second ticket is also for a person from Pike is the number of people who remain in the drawing and who are from Pike divided by the number of people altogether that remain in the drawing. Then the overall probability is the product of the two probabilities. Remember that once the first ticket is drawn the numbers will change because the first ticket is not replaced before the second one is drawn.
John
My calculator said it, I believe it, that settles it
