Applied 40S – Chapter 5 - Westgate Mennonite Collegiate

February 27, 2017
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APPLIED 40S – CHAPTER 5
1. Which of the following values cannot describe the probability of an event?
A. 100%
B. 3/4
C. 0
D. 1.2
2. You have a stack of ten cards numbered 11 to 20. What is the probability that a randomly
drawn card is an odd number or a multiple of three?
A. 0.3
B. 0.5
C. 0.7
D. 0.8
3. The odds in favour of Philip winning a badminton match are 5 : 4.
What is the probability that Philip will lose the match?
A. 0.20
B. 0.44
C. 0.56
D. 0.80
4. Elaine has a bag containing 5 red pens and 10 blue pens. She randomly picks two pens out of
the bag (no replacement). What is the probability that Elaine picked two red pens?
A. 4/45
B. 2/21
C. 1/9
D. 1/3
5. Given the following collection of objects:
a) Calculate the probability of randomly choosing
(1 mark)
b) How can the collection be changed so that the probability of choosing
(1 mark)
is exactly 40%?
6. Tim has a set of cards numbered 1 to 15. He randomly draws one card.
Consider the following events:
Event A: drawing a card that is a multiple of 2
Event B: drawing a card that is a multiple of 3
a) Are these events mutually exclusive? Justify your answer.
(1 mark)
b) What is the probability of drawing a numbered card that is a multiple of 2 or a multiple of 3?
Show your work.
(2 marks)
7. P  A  0.6 and P  B   0.5 . If P  A  B   0.2 , explain how you know that A and B are not
independent events.
(1)
8. You are asked to take a 3-question multiple-choice quiz. Each question has 4 possible
answers, one of which is correct.
a) If you randomly pick an answer for each question, what is the probability that all 3 answers
are wrong?
(1 mark)
b) What is the probability of getting at least one of the questions correct?
(1 mark)
9. a) The probability that you wins a game is 0.75. What are the odds against you winning the
game?
(1)
b) You have some coins in your pocket. If the odds in favour of pulling out a quarter is 5:8, what
is the probability of the coin being a quarter?
(1)
10. When comparing two events, why is it easier to compare probabilities instead of odds?
(1)
11. From the Applied math class (6 girls, 6 boys), a committee of 5 will be chosen. What is the
probability that:
a) 5 girls are on the committee?
(2)
b) at least one boy is on the committee?
(2)
12. It is junior lunch. The probability that I can get a cheese stick from someone is 0.45. The
probability that I can get a package of goldfish from someone is 0.6.
a) What is the probability that I will get a cheese stick and a package of goldfish?
(2)
b) What is the probability that I will get a cheese stick or goldfish?
(2)
c) What is the probability that I will get a cheese stick, but not goldfish?
(2)
13. When Mr. Durksen asks for food from students in the cafeteria, he asks juniors 80% of the
time, and seniors 20% of the time. If he asks a junior, the probability that he gets food is 50%,
while if he asks a senior, the probability that he gets food is 20%.
a) use a graphic organizer to show all the possible outcomes for this situation
(1)
b) what is the probability that he gets food?
(2)
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BONUS: Mr. Durksen got some food. What is the probability that he asked a junior?
(1)
Extra Bonus (1): “If I smell coffee, then Mr. Durksen must be near.” Write the contrapositive.