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User Psmagin
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Answer:


\sf (5)/(27)

Explanation:

Question:

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

What is the probability that Aakesh will select a green marble from each bag?

Solution:

Step 1: Find probability of finding green marbles in the first bag

The probability of selecting the green marbles from the first bag is amounts of green marbles / total of all the marbles in the first bag.

5 / (5+6+4) = 5/15 = 1/3.

Step 2: Find probability of finding green marbles in the second bag

The probability of selecting the green marbles from the second bag is amounts of green marbles / total of all the marbles in the second bag.

5 / (3 + 1 + 5) = 5/9

Step 2: Multiplying the probabilities

Since they are independent events, meaning the outcome of one event does not affect the other so we have to multiply the events.

1/3 • 5/9 = 5/27

Therefore, the answer is 5/27

User Jared Burrows
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