Question
In a purple box there are 2 white, 8 black, and 5 yellow
markers while in an orange box there are 4 white, 6 black, and 7 yellow markers. One marker is drawn at random from the combined markers of both boxes. Find the probability that it is a white marker from the orange box.Solution
Total markers in purple box = 2 + 8 + 5 = 15
Total markers in orange box = 4 + 6 + 7 = 17
Total markers combined = 15 + 17 = 32
Probability marker is from orange box = 17/32
Probability marker is white given orange box = 4/17
Required probability = (17/32) × (4/17) = 4/32 = 1/8
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