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Chapter 11 Test C
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1. To compute the probability of having a fair coin turn up heads four times on four tosses, the theory of probability that
would normally be used is the:
a. Conditional theory.
b. Classical (a priori) theory.
c. Subjectivist theory.
d. Relative frequency theory.
e. Relativist theory.
2. According to the principle of indifference,
a. All possible outcomes of an event are equally probable.
b. It makes no difference who conducts the experiment.
c. Some possible outcomes are so unlikely that they are ignored.
d. All possible outcomes are invariant as to time and place.
e. The probability of an event is the same regardless of what theory is used to calculate it.
3. To compute the probability of one team winning against another in a sporting event, the theory of probability that
would normally be used is the:
a. Classical (a priori) theory.
b. Conditional theory.
c. Subjectivist theory.
d. Relativist theory.
Event 1C
Given the following event:
Suppose an irregular 5-sided solid object, having sides numbered 1 through 5, is rolled 100 times, and side 3 turns up 16
times.
4. What is the approximate probability of Event 1C happening?
a. .08
b. .32
c. 1/16
d. .20
e. .16
5. In regard to Event 1C, what are the odds?
a. 5 to 21.
b. 5 to 16.
c. 4 to 25.
d. 4 to 21.
e. 3 to 16.
6. If the odds of the Steelers beating the Chiefs are 7 to 4, what is the probability of this event happening?
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Chapter 11 Test C
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a. 4/7
b. 1/11
c. 7/11
d. 4/11
e. 7/4
7. What is the probability of drawing a red king from a poker deck (no jokers) on a single draw?
a. 1/4
b. 1/26
c. 1/52
d. 1/13
e. 2/13
8. Given an urn containing 3 red balls, 4 green balls, and 5 yellow balls. What is the probability of drawing either a red
ball or a green ball on a single draw?
a. 7/12
b. 1/2
c. 2/5
d. 2/3
e. 3/7
9. What is the probability of getting at least 1 head on 4 successive tosses of a coin?
a. 31/32
b. 7/8
c. 3/4
d. 13/16
e. 15/16
10. What is the probability of drawing two hearts from a poker deck (no jokers) if the first card is not replaced before the
second is drawn?
a. 13/51
b. 1/16
c. 13/52
d. 1/17
e. 1/32
11. On one roll of a pair of dice, what is the probability of the points adding up to 4?
a. 1/12
b. 1/6
c. 1/11
d. 1/9
e. 1/8
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Chapter 11 Test C
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Event 2C
Given the following event:
Given two urns, one containing 3 white, 4 blue, and 5 pink balls, and the other containing 2 white, 3 blue, and 7 pink
balls. A single ball is drawn from each.
12. Given Event 2C, what is the probability that at least one ball is blue?
a. 5/12
b. 7/12
c. 1/2
d. 11/24
e. 3/8
13. Given Event 2C, what is the probability that both balls are pink?
a. 17/72
b. 35/144
c. 19/72
d. 1/4
e. 2/7
Event 3C
Given the following event:
Given an urn containing 3 white, 4 blue, and 5 pink balls. Two balls are drawn and the first ball is not replaced before the
second is drawn.
14. Given Event 3C, what is the probability that both balls are blue?
a. 7/132
b. 1/12
c. 1/9
d. 2/25
e. 1/11
15. Given Event 3C, what is the probability that at least one ball is either white or blue?
a. 9/11
b. 119/144
c. 10/72
d. 28/33
e. 29/33