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Probability
Unit Test Review
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3
Question
What is the probability that the total shown on two dice is less than or equal to 6?
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Answer
5/12
5
Question
15 out of 45 students who went on the Art Trip ordered chicken sandwiches for
lunch. If 135 students go on the trip, how many can be expected to order chicken
sandwiches for lunch?
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Answer
45
7
Question
A drawer contains 20 black socks and 10 white socks. Two socks are drawn
WITHOUT replacement. Find P(black, black).
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Answer
38/87
9
Question
A drawer contains 20 black socks and 10 white socks. Two socks are drawn WITH
replacement. Find P(black, black).
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Answer
4/9
11
Question
A drawer contains 20 black socks and 10 white socks. Three socks are drawn
WITHOUT replacement. Find P(black, white, black).
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Answer
95/609
13
Question
A researcher conducted a survey of
324 high school students and found
that 54 of them were enrolled in
advanced chemistry. What is the
probability that a randomly selected
student is enrolled in advanced
chemistry?
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Answer
54/324 =1/6
15
Question
There is a jar with 10 nickels and
5 dimes. If two coins are chosen at
random, what is the probability of
choosing first a nickel and then a
dime?
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Answer
5/21
17
Question
Six people called a radio talk show:
two lawyers, two doctors, a
veterinarian, and an accountant.
What is the probability that a randomly
selected caller is not a doctor?
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Answer
2/3
19
Question
A fair die is rolled twice. What is the
probability of getting 4 the first time
but not the second?
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Answer
5/36
21
Question
Karleen made a snack mix by
mixing 30 raisins, 45 peanuts, and
15 marshmallows. If she randomly
selects two pieces from her snack
mix, what is the probability they will
both be peanuts?
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Answer
22/89
23
Question
An experiment consists of rolling two fair dice. Find P(total shown 5).
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Answer
1/9
25
Question
Determine if the events are dependent or independent.
rolling a die and then flipping a coin
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Answer
independent
27
Question
A box contains 3 red marbles, 6 blue marbles, and 5 green marbles.
Find P(red then green) if a marble is selected, then a second marble is selected without replacing the first marble.
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Answer
15/182
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Question
A box contains 3 red marbles, 6 blue marbles, and 5 green marbles.
Find P(red then green) if a marble is selected and replaced, then a second marble is selected.
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Answer
15/196
31
Question
During the last ski season, Chad recorded the number of runs he took on Beginner, Intermediate, and Advanced slopes. What is the probability that Chad skis a Beginner slope on his next run?
Beginner 18
Intermediate 89
Advanced 225
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Answer
9/166
33
Question
There are 5 choices for a multiple choice question. What is the probability that you will guess the correct answer?
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Answer
1/5
Tyler has made 65 out of his last 150 free throw attempts. What is the probability that he will make his next free
throw?
65/150 = 13/30
A game spinner was spun 500 times. It was found that A was spun 170 times, B was spun 244 times, and C was spun 86 times. What is the probability of the spinner landing on A?
170/500 = 17/50
An experiment consists of rolling 2 fair dice. What is the probability of rolling a
sum = 10?
3/36 = 1/12
An experiment consists of rolling 2 fair dice. What is the probability of rolling a
sum less than 5?
6/36 = 1/6
43
Question
A password contains a letter followed by 3 digits. What is the probability that the
password does not contain an S or a W?
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Answer
12/13
A password consists of 2 letters followed by 3 digits. Find the
number of possible passwords.
676,000
An employee identification number consists of 3 letters followed by 2 digits. Find the probability that the id number does not contain the number 8.
1,423,656/1,757,600 = 81/100
An interior-decorating catalog offers a chair in a dark, light, or oak finish, with a choice of a tan, black, or cream seat cover, and in regular or tall height. How many different chairs are available?
18 different chairs
You flip a coin 3 times.
Find P(H,H,H).
1/8
You flip a coin 3 times.
Find P(H,H,T).
1/8
You spin a spinner with 3 even sections (one red, one blue, and one yellow). You then roll a regular number cube. Find P(red, prime).
3/18 = 1/6
You spin a spinner with 3 even sections (one red, one blue, and one yellow). You then roll a regular number cube. Find P(red or blue, 5).
2/18 = 1/9