A bag of candy was opened and the number of pieces was counted. The results are: Red 25, Brown 20, Green 20, Blue 15, Yellow 10, and Orange 10. What is the sample space for this problem?

.
a. {25, 20, 20, 15, 10, 10}
b. {0.25, 0.20, 0.20, 0.15, 0.10, 0.10}
c. {Red, Brown, Green, Blue, Yellow, Orange}
d. {Red}

2. What is a process that leads to a single outcome that cannot be predicted with certainty?

a. Experiment
b. Event
c. Sample point
d. Sample space

. What is the collection of all the sample points in an experiment?

a. Sample space
b. Venn diagram
c. Event
d. Union

The outcome of an experiment is the number of resulting heads when a nickel and a dime are flipped simultaneously. What is the sample space for this experiment?
a. {0, 1, 2}
b. {HH, HT, TT}
c. {HH, HT, TH, TT}
d. {nickel, dime}

An experiment consists of rolling two dice and summing the resulting values. Which of the following is not a sample point for this experiment?.
a. 1
b. 2
c. 6
d. 7
W2-06. Which number could be the probability of an event that rarely occurs?

a. .01
b. -.01
c. .51
d. .99

W2-07. Suppose that an experiment has five equally likely outcomes. What probability is assigned to each of the sample points?
a. .2
b. .5
c. .05
d. 1

. A hospital reports that two patients have been admitted who have contracted Crohn’s disease. Suppose our experiment consists of observing whether each patient survives or dies as a result of the disease. The simple events and probabilities of their occurrences are shown in the table {SS 0.59, SD 0.11, DS 0.10, DD 0.20}(where S in the first position means that patient 1 survives, D in the first position means that patient 1 dies, etc.). What is the probability that at least one of the patients does not survive?

a. 0.41
b. 0.21
c. 0.20
d. 0.11

. At a community college with 500 students, 120 students are age 30 or older. What is the probability that a randomly selected student is age 30 or older?
.
a. .24
b. .76
c. .12
d. .30
A music store has 8 male and 12 female employees. Suppose one employee is selected at random and the employee’s gender is observed. What are the sample points for this experiment, and the assigned probabilities to the sample points?
.
a. {male, female}; P(male) = .4 and P(female) = .6
b. {male, female}; P(male) = .8 and P(female) = .12
c. {8, 12}; P(8) = .5 and P(12) = .6
d. {8, 12}; P(8) = .8 and P(12) = .12

. The LIST {Outcome 1 2 3 4 5 6 – Probability .1 .1 .1 .2 .2 .3} displays the probabilities for each of the six outcomes when rolling a particular unfair die. What is the probability that the number rolled on a single roll of this die is less than 4?
a. .3
b. .2
c. .5
d. .7
Compute the number of ways you can select n elements from N elements, where: n = 3, N = 8
a. 56
b. 336
c. 3
d. 120

There are 10 movies that Greg would like to rent but the store only allows him to have 4 movies at one time. In how many ways can Greg choose 4 of the 10 movies?

a. 210
b. 40
c. 10,000
d. 5040
. A state energy agency mailed questionnaires on energy conservation to 1,000 homeowners in the state capital; 500 questionnaires were returned. Suppose an experiment consists of randomly selecting one of the returned questionnaires. Consider the events: A: {The home is constructed of brick} and B: {The home is more than 30 years old}. In terms of A and B, what describes a home that is constructed of brick and is less than or equal to 30 years old.
.
a. A )” Bc
b. A *” B
c. A )” B
d. (A )” B)c

At a community college with 500 students, 120 students are age 30 or older. What is the probability that a randomly selected student is less than 30 years old?

a. .76
b. .24
c. .12
d. .30

A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 67% regularly use the golf course, 47% regularly use the tennis courts, and 6% use neither of these facilities regularly. What is the probability that a member regularly uses at least one of the golf or tennis facilities?

a. .94
b. .6
c. .47
d. .20

. Suppose that for a certain experiment P(A) = .33 and P(B) = .29. If A and B are mutually exclusive events, what is P(A *” B)?

a. .62
b. .38
c. .03
d. .31

. In a class of 30 students, 18 are men, 6 are earning a B, and no men are earning a B. If a student is randomly selected from the class, what is the probability that the student is a man or earning a B?

a. .8
b. .4
c. .54
d. .24

. In a box of 50 markers, 30 markers are either red or black and 20 are missing their caps. If 12 markers are either red or black and are missing their caps, what is the probability that a randomly selected marker is red or black or is missing its cap?
.
a. .76
b. 1
c. .38
d. .24

. A package of self-sticking notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly selecting one of the notepads and recording its color. Find the probability that a green notepad is selected given that it is either blue or green.

a. 1/2
b. 1/3
c. 1/4
d. 1/12
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