Answer:
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