A golfer has 12 golf shirts in his closet, 9 of which are white and the others b

Question

A golfer has 12 golf shirts in his closet, 9 of which are white and the others blue. He gets dressed in the dark, so he just grabs a golf shirt and puts it on. He plays golf on tow days in a row and neither landers nor return the used shirts to the closet.

a. What is the probability that the first golf shirt selected was blue?

b. What is the probability that the second golf shirt selected was also blue given that the first one selected was blue?

c. What is the probability on both the days he selected blue golf shirts?

d. Write down the sample space by tree diagram, or by table, or by a set.

Explanation / Answer

a) P(first golf shirt selected was blue) = 3/12 = 0.25

b) P(second golf shirt selected was also blue given that the first one selected was blue) = Number of blue remaining / Total number of shirts remaining)

= 2/11

= 0.1818

c) P(both the days he selected blue golf shirts) = (3/12)x(2/11)

= 0.0455

d) Sample space {WW, WB, BW, BB} (B indicates blue and W indicates white)

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