ECEN 303: Assignment 2
Problems:
1. Show that the probability of the union of two events can be generalized to three events as
follows:
Pr(
A
∪
B
∪
C
) = Pr(
A
) + Pr(
B
) + Pr(
C
)

Pr(
A
∩
B
)

Pr(
A
∩
C
)

Pr(
B
∩
C
) + Pr(
A
∩
B
∩
C
)
.
2. A retail establishment accepts either the American Express or the VISA credit card. A total
of 24 percent of its customers carry an American Express card, 61 percent carry a VISA card,
and 11 percent carry both. What percentage of its customers carry a credit card that the
establishment will accept?
3. Sixty percent of the students at a certain school wear neither a ring nor a necklace. Twenty
percent wear a ring and 30 percent wear a necklace. If one of the students is chosen randomly,
what is the probability that this student is wearing
(a) a ring or a necklace;
(b) a ring and a necklace?
4. If two dice are rolled, what is the probability that the sum of the upturned faces equal
i
?
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 Fall '07
 Chamberlain
 Probability, Credit card, American Express, MasterCard, Visa Inc.

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