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What is the probability that exactly three packages were correctly labeled?

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Brad Doe works for a packaging company. One day, he received four separate orders and accidentally mixed up the addresses, so he applied the address labels at random.
What is the probability that exactly three packages were correctly labeled?

posted Oct 17, 2014 by Deepak Chitragar

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1 Solution

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Ans: 3/64 = 0.0469 =4.69%
First we select 3 packages out of four in 4C3 ways.
Probability that these are correctly labelled is 1/4 for each package.
And one package must not be correctly labelled for which probability is 3/4.
So probability is
4C3 × 1/4 × 1/4 × 1/4 × 3/4 = 3/64

solution Dec 14, 2014 by Swapnil Morankar



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