Question
In a yellow box there are 5 red, 6 green, and 4 yellow
balls while in a blue box there are 3 red, 7 green, and 5 yellow balls. One ball is drawn at random from the combined balls of both boxes. Find the probability that it is a green ball from the yellow box.Solution
Total balls in yellow box = 5 + 6 + 4 = 15
Total balls in blue box = 3 + 7 + 5 = 15
Total balls combined = 15 + 15 = 30
Probability ball is from yellow box = 15/30 = 1/2
Probability ball is green given yellow box = 6/15 = 2/5
Required probability = (1/2) × (2/5) = 2/10 = 1/5
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