Question
In a silver box there are 8 green, 3 red, and 4 blue
pens while in a gold box there are 6 green, 7 red, and 3 blue pens. One pen is drawn at random from the combined pens of both boxes. Find the probability that it is a red pen from the gold box.Solution
Total pens in silver box = 8 + 3 + 4 = 15
Total pens in gold box = 6 + 7 + 3 = 16
Total pens combined = 15 + 16 = 31
Probability pen is from gold box = 16/31
Probability pen is red given gold box = 7/16
Required probability = (16/31) × (7/16) = 7/31
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