Question
In a pink box there are 4 yellow, 6 purple, and 5 orange
crayons while in a brown box there are 3 yellow, 7 purple, and 4 orange crayons. One crayon is drawn at random from the combined crayons of both boxes. Find the probability that it is an orange crayon from the pink box.Solution
Total crayons in pink box = 4 + 6 + 5 = 15
Total crayons in brown box = 3 + 7 + 4 = 14
Total crayons combined = 15 + 14 = 29
Probability crayon is from pink box = 15/29
Probability crayon is orange given pink box = 5/15 = 1/3
Required probability = (15/29) × (1/3) = 15/87 = 5/29
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