Probability Handout – STAT 509 – Fall 2011
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1.
The following table summarizes the race and positions of NBA players in 1993.
Position
Guard
Forward
Center
Totals
Race:
White
26
30
28
84
Black
128
122
34
284
Totals
154
152
62
368
Suppose one player is chosen at random from this group.
Let us define the following events:
A = {the selected player is white}
B =
{the selected player is a center}
C = {the selected player is black}
D = {the selected player is a guard}
(a)
Find P(A).
(b)
Find P(B).
(c)
Find P(C ∩ D).
(d) Find the probability that the player is NOT a guard.
(e)
Find P(A
U
B).

2. For two
independent events
A and B, suppose P(A) = 0.4 and P(B) = 0.2.
(a) Find P(A ∩ B).
(b) Find P(A  B).
(c)
Find P(A
U
B).
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Define the two events A and B as follows:
A = {we have rain tomorrow} and B = {we have 10plus mph wind tomorrow}.
Assume P(A) = 0.4, P(B) = 0.2, and P(A ∩ B) = 0.1.
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 Fall '08
 CHALMERS
 Probability, Probability theory, Following, Randomness, randomly selected member

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