What is the probability that it came from the middle draw

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Dwight keeps only red and blue pens in each of the 3 draws in his desk. Each draw contains exactly 8 pens in total. There are 4 blue pens in the top draw, 3 blue pens in the middle draw and 7 blue pens in the bottom draw. Dwight is lazy and anytime he needs to get a pen, 67% of the time he chooses the top draw, 19% of the time he chooses the middle draw and the rest of the time he chooses the bottom draw.

Today Dwight selected a red pen. What is the probability that it came from the middle draw? Give your answer as a probability between 0 and 1.

Reference no: EM132367498

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