Question

A box of numbered pens has 12 red, 12 blue, 12 green and 12 yellow pens. The pens for each colour are numbered from 1 to 12. There is a unique number on each pen, so no pen is exactly the same as any other pen in the box. When reaching into the box to randomly draw five pens without replacement, what is the proportion of getting exactly four pens of the same colour (Note: the numbers matter but the order does not)?

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Birdie

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52 Answers

12C1 x 12C1 x 12C1 x 12C1 x 44C1 = 912384
48C5 = 1712304
The proportion is
912384/1712304 = 576/1081

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