Probability: Probability Problems – #28934


Question: A basketball team at a university is composed of ten players. The team is made up of players who play the position of either guard, forward, or center. Four of the ten are guards, four are forwards, and two are centers. The numbers that the players wear on their shirts are 1, 2, 3, and 4 for the guards; 5, 6, 7, and 8

for the forwards; and 9 and 10 for the centers. The starting five are numbered 1, 3, 5, 7, and 9. Let a player be selected at random from the ten. The events are defined as follows: Let A be the event that the player selected has a number from 1 to 8.

Let B be the event that the player selected is a guard. Let C be the event that the player selected is a forward. Let D be the event that the player selected is a starter.

Let E be the event that the player selected is a center. Calculate P(C).

A. 0.40

B. 0.20

C. 0.80

D. 0.50

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