Question

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 merble from each bag.

What is the probability that Tara will select a blue marble from each bag?

Answer 1

2/27

Explanation:

The two events, drawing a blue marble out of each bag, are independent. This means to find the probability of both occurring, we multiply them.

In the first bag, there are 5 blue marbles out of 15 total. This makes the probability 5/15, or 1/3.

In the second bag, there are 2 blue marbles out of 9 total. This makes the probability 2/9.

Together, the probability of both events happening are:

1/3(2/9) = 2/27