STAT400/MATH463
Fall 2009
Practice Problems I
Sept 24
Midterm I Practice Problems
1. Compute the following probabilities.
a) Events
A
and
B
are disjoint. The probability that
B
will not happen is 0.7, and
P
(
A
∪
B
) =
0
.
5. Find
P
(
A
).
b) If
A
and
B
are independent events with
P
(
A
) = 0
.
6 and
P
(
B
) = 0
.
7, Find the probability
that
A
occurs or
B
occurs or both occur.
c) Suppose
P
(
A
) = 0
.
22,
P
(
B
) = 0
.
25, and
P
(
A
∩
B
) = 0
.
11. Find
P
(
A
∩
B
).
2. What is the probability that a 5card poker hand drawn from a standard 52card deck
has one ace and two face cards (king, queen, jack)?
3.
In Neverland, men constitute 60% of the labor force.
The rates of unemployment are
6.0% and 4.5% among males and females, respectively. A person is selected at random from
Neverlands labor force.
a) What is the probability that the person selected is a male and is unemployed?
b) What is the probability that the person selected is unemployed?
c) Suppose the person selected is unemployed.
What is the probability that a male was
selected?
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 Spring '08
 Kim
 Probability, Electromagnet, Unemployment, Playing card

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