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11/07
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT1301 Probability and Statistics I
Class Test
ANSWER ALL FIVE QUESTIONS.
1. A cabinet is composed of 4 drawers arranged in a vertical column. Five identical ties and two
identical caps are to be put inside the cabinet. Each drawer can support any number of items.
(a) Calculate the number of distinct ways to place the two caps in the cabinet.
[4 marks]
(b) Calculate the number of distinct ways to place the ﬁve ties and the two caps in the cabinet.
[4 marks]
2. A team of two persons is to be selected randomly from a group consisting of two boys, named
Bill and Bob, and four girls, named Agnes, Alice, Amy and Ann.
(a) Calculate the probability that the team is formed by Bob and Ann.
[4 marks]
(b) If it is required that the team consist of one boy and one girl, calculate the probability
that the team is formed by Bob and Ann.
[4 marks]
3. Let
A
,
B
and
C
be three events. It is known that
P
(
A
c
∩
B
c
∩
C
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 Spring '11
 Dr.Yun

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