The soccer arrived in a big box, and people just start grabbing them, looking fo

Question

The soccer arrived in a big box, and people just start grabbing them, looking for the right size. The tax contains 7 medium, 12 medium, 12 large, and probability of each event described. Complete parts a through d below. a) The first two player grabs are the wrong sizes. The probability that the first two the player grabs are the wrong size is (Round to three decimal places as needed.) b) The first medium shirt the player is the third one be checks. The probability that the first medium shirt the player finds is the third one he checks is (Round to three decimal places as needed.) c) The test four the player picks are all extra-large. The probability that the first four shirts the player picks are all extra-large (Round to three decimal places as needed.) d) At least one of the four shirts the player checks is a medium. The probability that at least one of the first four shirts the player checks is a medium is (Round to three decimal places as needed.)

Explanation / Answer

A box contains 7 medium, 12 large and 8 extra large shirts

Total = 27 shirts

A player wants medium for himself and one for his sister

a) Probability that the first Two shirts the player grabs are the wrong size is:

(20/27) * (19/26) = 0.541

b)

The probability that the first medium shirt the player finds is the third one he checks is:

(20/27) * (19/26) * (7/25) = 0.152

C)

The probability that the first four shirts the player picks are all extra-large

(8/27) * (7/26) * (6/25) * (5/24) = 0.004

d)

The probability that at least one of the first four shirts the player checks is a medium is:

P(no medium) = 20/27

P(at least one medium) = 1 - (20/27 * 19/26 * 18/25 * 17/24) = 0.724

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