Question

What is the probability that you choose a yellow marble and then a blue marble assuming you replace the first marble?

(A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles.)

Answer 1

1/24

Explanation:

To find the first probability of getting a yellow marble, first you have to add up the total number of marbles:

5+3+2+2=12

There are two yellow marbles so the probability is:

2/12

Next is finding the probability of grabbing a blue marble. Since the first marble was replaced, we can still use the total number of marbles and the probability is:

3/12

Since the problem says to choose a yellow and then a blue, we will multiply the two.

2/12×3/12 = 6/144 = 1/24