Question

A birthday party has a grab bag for each of the guests. There are 8 bags filled with candy, 5 containing CDs, and 2 grand prize bags with gift certificates. The bags are identically wrapped and shuffled. Joe is first to choose a bag, and Devon is second. What is the probability that Joe and Devon will both choose grand prize bags?

Answer 1

1/105

Explanation:

First, the probability that Joe chooses a grand prize bag is 2/15 because there are 2 grand prize bags out of 15 total bags.

Next, the probability that Devon chooses a grand prize bag is 1/14 because if Joe already chose one of the grand prize bags, there is only 1 left out of a total of 14 bags left.

The last step is to multiply those two bags, so
`(2)/(15) * (1)/(14)` =
`(1)/(105)`