Tara has two bags of marbles the first bag contains 8 red marbles four blue marbles three green marbles the second bag contains 4 red marbles three blue marbles four green marbles Tara will randomly select 1 marble from the first bag and Replace it. Tara will randomly select 1 marble from the second bag and not replace it. What? Is the probability that Tara will select a blue Marble from each bag?

Question

Mathematics

Morgan

23 October, 11:01

Tara has two bags of marbles the first bag contains 8 red marbles four blue marbles three green marbles the second bag contains 4 red marbles three blue marbles four green marbles Tara will randomly select 1 marble from the first bag and Replace it. Tara will randomly select 1 marble from the second bag and not replace it. What? Is the probability that Tara will select a blue Marble from each bag?

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Answers (1)

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Kaiden Osborne · 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