Be sure this exam has 10 pages including the cover
The University of British Columbia
Sessional Exams – 2009 Winter Term 1
Mathematics 302 Introduction to Probability
Name:
Student Number:
Section:
This exam consists of
8
questions worth
10
marks each. No aids other than calculators are
permitted.
Problem
total possible
score
1.
10
2.
10
3.
10
4.
10
5.
10
6.
10
7.
10
8.
10
total
80
1. Each candidate should be prepared to produce his library/AMS card upon request
.
2. Read and observe the following rules
:
No candidate shall be permitted to enter the examination room after the expiration of one half hour, or to leave
during the Frst half hour of the examination.
Candidates are not permitted to ask questions of the invigilators, except in cases of supposed errors or ambiguities
in examination questions.
CAUTION  Candidates guilty of any of the following or similar practices shall be immediately dismissed from the
examination and shall be liable to disciplinary action.
(a) Making use of any books, papers or memoranda, other than those authorized by the examiners.
(b) Speaking or communicating with other candidates.
(c) Purposely exposing written papers to the view of other candidates. The plea of accident or forgetfulness
shall not be received.
3. Smoking is not permitted during examinations
.
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View Full DocumentDecember 9 2009
Math 302 Final Exam
Page 2 of 10
Tables on last page.
1. A US scientist has 12 ties on a tierack. Four are red, four are white and four are blue. Each
day he wears one of the twelve selected at random and at the end of the day returns it to the
tierack.
(a)
(4 points)
What is the probability that none of the ties he wears next week are red?
(b)
(3 points)
What is the probability that not all the colours red white and blue are used next week?
(c)
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 Winter '10
 Dr.AlejandroCortas
 Math, Probability, Probability theory, probability density function

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