Probability Practice Test 2011 Supplemental
Name ________________
1. When the pointer is spun, determine the probability that the pointer will stop on section C.

A. 1/8
B. ¼
C. 1/3
D. 1/2

2. A card is randomly drawn from a standard 52-card deck. Determine the probability that the
card drawn is a red ace.
A. 1
B. 1
C. 2
D. 4
26
13
13
13
3. Twelve cards each have one letter of the word APPLICATIONS on them. If a card is
drawn, what is the probability that it will show the letter I or the Letter P?
A. 1
B. 1
C. 1
D. 1
3
4
6
36
4. Each of the 11 letters from the word MATHEMATICS is placed on a separate card. A card
is drawn and not replaced. A second card is drawn. What is the probability that the 2 cards
chosen are both vowels?
A. 1
B. 1
C. 6
D. 16
10 
55 
20 
121 

5. A summary of a recent survey is shown below:
60% liked hamburgers
70% like pizza
40% like both
What percentage liked only hambergers?
A. 10%
B. 20%
C. 30%
D. 40%

6. Two dart players each throw independently one dart at a target. The probability of each
player hitting the bullseye is 0.3 and 0.4 respectively. What is the probability that neither will hit
the bullseye?
A. 0.12
B. 0.35
C. 0.58
D. 0.42

7. A survey of people that live within 40 km of a ski resort found that 22% go snowboarding, 48%
go skiing and 6% do both sports. Determine the probability that a randomly selected person does
neither sport.
A. 24%
B. 30%
C. 36%
D. 42%

8. Two bowlers try independently for a strike (all the pins are knocked down). The probability
of player 1 getting a strike is 0.3 and for player 2 it is 0.4. What is the probability that neither
player gets a strike?
A. 0.42
B. 0.3
C. 0.58
D. 0.70




9. What is the probability of drawing a 4 or a club from a single draw from a deck of 52 cards?
A. 17
B. 16
C. 15
D. 4 13

52
52
52
52 52
10. Two dice are rolled. A sample space which shows the possible sums is provided below:
Consider the following events:
A) The sum of the two dice is 6.
B) The second die rolled is a 5.
A. 14/36
B. 10/36
C. 1/36
Find P(A and B)
D. 2/36
11. At a particular university, 5 students out of every 8 take first year mathematics. The
probability that a student will pass their first year mathematics course is 0.85. Each year there are
8000 first year students. What is the average number of students who will take math and pass it?
A. 5000
B. 4250
C. 6800
D. 4750
12. Four books, labeled W, X, Y, and Z, are placed randomly on a shelf. The probability that
they are placed in alphabetical order, from left to right, is
A. 1
B. 1
C. 1
D. 1
256
4
6
24
13. Three cards are dealt from a standard deck of 52 cards. Determine the probability of getting at
least one diamond.
A. 0.41
B. 0.44
C. 0.59
D. 0.75

14. An experiment consists of tossing a fair coin and rolling a fair die. What is the probability of
obtaining a head and a 5?
A. 1
B. 1
C. 7
D. 2




12
10
12
3

15. Suppose you throw a pair of fair 6-sided dice. One is white and the other is black. Let T =
total showing on both dice, and B = number showing on the black die. Find P(T=8 | B=2)

A. 1
B. 5
C. 1
D. 1
36 
36 
6
2
16. Two fair coins are tossed and hidden from view. What is the probability that both coins are
heads, given that the first one was heads?
A. 1
B. 1
C. 1
D. 3




4
3
2
4


17. Which of the following pair of events is dependent?
A. Two cards are selected from a well-shuffled deck of cards and the experiment is carried out
without replacement. The first event is drawing a jack. The second event is drawing
another jack.
B. Two cards are selected from a well-shuffled deck of cards and the experiment is carried out
with replacement. The first event is drawing an ace of hearts. The second event is drawing
a black 5.
C. A fair die is rolled and a fair coin is tossed. The first event is rolling an odd number on the
die. The second event is obtaining a tail on a flip of the coin.
D. A fair coin is tossed twice. The first event is obtaining a head on the first flip of the coin.
The second event is obtaining ahead on the second flip of the coin.

18. Moms in 2 different cities were asked who fed their kids cereal for breakfast. Their
answers are summarized in the table below.
What is the probability that a randomly selected mom is from Duncan and has kids that eat
cereal for breakfast?
A. 60/90
B. 60/140
C. 60/220
D. 90/220
19. Consider the table above. What is the probability that a randomly selected mother has kids
that eat cereal for breakfast, given that the mother is from Victoria?
A. 80/140
B. 80/220
C. 130/220
D. 80/130
20.
A.
B.
C.
D.
21. A spinner is divided into 3 equal sections. If the spinner is spun 6 times, determine the
probability that it will stop on either section A or B at least 5 times.
A. 0.79
B. 0.26
C. 0.088
D. 0.35
22. A hand of 5 cards is dealt from a deck of 52 cards.
a. What is the probability of getting a hand that contains exactly one face card?(2 marks)
b. What is the probability of getting a hand that contains at least one face card? (2 marks)
23. A biased (weighted) coin is designed so that the probability of a head on each flip is 3/5
a. If this biased coin is flipped 3 times, what is the probability that the first 2 flips are tails
and the third flip is a head? (1 mark)
b. If this biased coin is flipped 6 times, what is the probability that four or five times the coin
comes up heads? (2 marks)
24. Jar A contains 5 red balls and 7 white balls. Jar B contains 8 red balls and 4 white balls. A fair
die is rolled. If a 1 or a 2 comes up, a ball is randomly selected from Jar A, otherwise, a ball is
randomly selected from Jar B.
a) Find the probability that a white ball is selected.
(2 marks)
b) Given that the ball selected is white, find the probability that it came from Jar A. (2 marks)




25. Machine A produces 60% of a product while Machine B produces 40%. 3% of the
production from Machine A is defective, while 2% from Machine B is defective.
a. What is the probability that a randomly selected product is defective? (2 marks)
b. If a defective product is selected, what is the probability that it was produced by Machine B?




26. The probability that a psychic will "guess" what letter you are thinking of is 0.8. If the psychic
asks 20 to think of a letter, what is the probability that she gets it right 14 or 15 times? (2 marks)