A basketball team at a university is composed of ten players. The team is made u

Question

A basketball team at a university is composed of ten players. The team is made up of players who play either guard, forward, or center position. Four of the ten are guards; four of the 10 are forwards; and two of the ten are centers. The number of the players are 1, 2, 3, 4, for the guards; 5, 6, 7, 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. Define the following events:

A= player selected has a number 1 to 8

B= player selected is a guard

C= player selected is a forward

D= player selected is a starter

E= player selected is a center

P (C|D) is equal to:

A.0.80   B. 0.40           C. 0.50           D. 0.20          E 0.60

Explanation / Answer

Players numbered 5 and 7 are forwards and starter both. Therefore, P(C and D) = 2/10 = 0.2

Five of the ten are forwards, P(D) = 5/10 = 0.5

P(C|D) = P(C and D)/P(D) = 0.2/0.5 = 0.40

The correct option is B.

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