AnswersGeometryApplications of Probability

Practice Test Answers

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1
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Out of all 252 twelfth graders, how many rode in a car to school?

A
114
B
74
C
111
D
11
2
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What is the probability that his model rocket has landed in a grassy area?

A
0 point 6
B
0 point 3
C
0 point 2
D
0 point 4
4

Which statements are true? Choose three correct answers.

A
cap p times open paren cap c divides cap f close paren is equal to cap p times open paren cap f divides cap c close paren
B
cap p times open paren cap f divides cap c close paren is equal to 0 point 7 5
C
cap p times open paren cap c divides cap f close paren is equal to 0 point 2 5
D
cap p times open paren the intersection of cap c and cap f close paren is equal to cap p times open paren the intersection of cap f and cap c close paren
E
cap p times open paren the intersection of cap c and cap f close paren is equal to 0 point 0 9
5

What is the probability that the spinner lands on an even number or on the unshaded section?

A
3 fifths
B
4 fifths
C
2 fifths
D
1 fifth
6

Given that a randomly chosen person eats breakfast almost every day, what is the probability that the person also buys cereal at least once a month?

A
53 over 57
B
11 over 64
C
53 over 64
D
11 over 53
7

Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph. What is the probability that one girl and two boys will be chosen?

A
50 percent
B
60 percent
C
70 percent
D
40 percent
8

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Two marbles are drawn from the bag. Which expression represents the probability that one of the marbles is red and the other is blue?

A
the fraction with numerator sub 30 cap p sub 2 and denominator sub 50 cap p sub 2
B
the fraction with numerator open paren sub 10 cap p sub 1 close paren times open paren sub 20 cap p sub 1 close paren and denominator sub 50 cap p sub 2
C
the fraction with numerator sub 30 cap c sub 2 and denominator sub 50 cap c sub 2
D
the fraction with numerator open paren sub 10 cap c sub 1 close paren times open paren sub 20 cap c sub 1 close paren and denominator sub 50 cap c sub 2
9

Miriam is visiting five friends in her neighborhood, Louise, Mike, Nicole, Oscar, and Pascal. In each arrangement, the first initial of each person’s name represents that person’s position as he or she is visited by Miriam. Which shows all the outcomes for this event if she visits with Nicole first and Louise last?

A
NLMOP, NMLOP, NOLMP
B
NMOPL, NOMPL, NPMOL
C
NMOPL, NMPOL, NOPML, NOMPL, NPMOL, NPOML
D
NLMOP, NLOMP, NMLOP, NMOLP, NOMNP, NONMP
10

A number cube has faces numbered 1 to 6 What is true about rolling the number cube one time? Choose three correct answers.

A
If a subset cap A represents the complement of rolling an even number, then cap A is equal to 1 comma 3 .
B
cap s is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6
C
If cap A is a subset of cap s , cap A could be start set 0 comma 1 comma 2 end set .
D
If cap A is a subset of cap s , cap A could be start set 5 comma 6 end set .
E
If a subset cap A represents the complement of rolling a 5 , then cap A is equal to 1 comma 2 comma 3 comma 4 comma 6 .
11

A coach chooses six out of eight players to go to a skills workshop. If order does not matter, in how many ways can he choose the players for the workshop?

A
56
B
6
C
8
D
28
12

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots. What is the probability of a customer buying carrots?

A
10 point 0 percent
B
11 point 4 percent
C
1 point 4 percent
D
5 point 0 percent
13

Which statement must be true?

A
Out of the 125 children who do not have any siblings, 34 of them have a pet.
B
Out of the 97 children who have 1 sibling, 40 of them do not have a pet.
C
Out of the 97 children who have 1 pet, 40 of them do not have any siblings.
D
Out of the 125 children who do not have a pet, 18 of them have 2 siblings.
14

If k is in the intersection of cap A and cap b , which is the most specific location of k on the Venn diagram?

A
II
B
III
C
cap i
D
IV

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