AnswersGeometryApplications of Probability

Practice Test Answers

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1
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What is the probability that his model rocket has landed in a grassy area?

A
0 point 3
B
0 point 2
C
0 point 6
D
0 point 4
2
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Which statement must be true?

A
Out of the 125 children who do not have a pet, 18 of them have 2 siblings.
B
Out of the 97 children who have 1 sibling, 40 of them do not have a pet.
C
Out of the 125 children who do not have any siblings, 34 of them have a pet.
D
Out of the 97 children who have 1 pet, 40 of them do not have any siblings.
3

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

A
74
B
114
C
111
D
11
4

Which sets can be represented using the Venn diagram?

A
cap A is equal to plays by Shakespeare
B
cap A is equal to animals
C
cap A is equal to polygons
D
cap A is equal to states in the US
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
1 fifth
D
2 fifths
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
11 over 64
B
53 over 57
C
11 over 53
D
53 over 64
7

Which statements are true? Choose three correct answers.

A
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
B
cap p times open paren cap c divides cap f close paren is equal to 0 point 2 5
C
cap p times open paren the intersection of cap c and cap f close paren is equal to 0 point 0 9
D
cap p times open paren cap f divides cap c close paren is equal to 0 point 7 5
E
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
8

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
5 point 0 percent
C
1 point 4 percent
D
11 point 4 percent
9

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
28
C
8
D
6
10

Hana has a bag containing one red (R), one blue (B), and one yellow (Y) tile. She draws two tiles out of the bag, one after the other. Which explanation and tree diagram represent a pair of dependent of events?

A
Once a tile is chosen, it cannot be chosen again: Image with description A tree diagram with three levels. Level 1 is R with branches of B and Y. Level 2 is B with branches of R and Y. Level 3 is Y with branches of R and B.
B
Once a tile is chosen, it can be chosen again: Image with description A tree diagram with three levels. Level 1 is R with branches of B and Y. Level 2 is B with branches of R and Y. Level 3 is Y with branches of R and B.
C
Once a tile is chosen, it cannot be chosen again: Image with description A tree diagram with three levels. Level 1 is R with branches of R, B, and Y. Level 2 is B with branches of R, B, and Y. Level 3 is Y with branches of R, B, and Y.
D
Once a tile is chosen, it can be chosen again: Image with description A tree diagram with three levels. Level 1 is R with branches of R, B, and Y. Level 2 is B with branches of R, B, and Y. Level 3 is Y with branches of R, B, and Y.
11

Events X and Y are independent. The probability of X occurring is 1 third The probability of Y occurring is 1 half What is cap p times open paren cap x And cap y close paren ?

A
1 third
B
2 thirds
C
1 sixth
D
5 sixths
12

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

A
cap s is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6
B
If cap A is a subset of cap s , cap A could be start set 0 comma 1 comma 2 end set .
C
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 .
D
If a subset cap A represents the complement of rolling an even number, then cap A is equal to 1 comma 3 .
E
If cap A is a subset of cap s , cap A could be start set 5 comma 6 end set .
13

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
14

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
NMOPL, NMPOL, NOPML, NOMPL, NPMOL, NPOML
B
NLMOP, NMLOP, NOLMP
C
NMOPL, NOMPL, NPMOL
D
NLMOP, NLOMP, NMLOP, NMOLP, NOMNP, NONMP
15

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
40 percent
B
70 percent
C
60 percent
D
50 percent
16

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
IV
B
II
C
III
D
cap i

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