AnswersGrade 7 MathematicsCompound Events and Sample Space

Compound Events and Sample Space — Quiz Answers

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Lola tossed a coin twice. She made a tree diagram to show the possible outcomes. Which tree diagram shows the sample space for two tosses of a coin?

A
Image with description A tree diagram that shows the outcomes of the first toss as H for Heads and T for Tails. Then, extending from each of these outcomes, there are two branches, one for Heads and one for Tails. H branches to H and T, and T branches to H and T.
B
Image with description A tree diagram that shows the outcomes of the first toss as two Heads. Then extending from each of these two Heads, there are two branches that represent the second toss, one for Heads and one for Tails. H branches to H and T.
C
Image with description A tree diagram that shows the outcomes of the first toss as H for Heads and T for Tails. Then, extending from each of these outcomes, there are two branches, one for Heads and one for Tails. H branches to H and H, and T branches to T and T.
D
Image with description A tree diagram that shows the outcomes of the first toss as two Tails. Then extending from each of these two Tails, there are two branches that represent the second toss, one for Heads and one for Tails. T branches to H and T.
2
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Phil is buying a sandwich. He has the following choices. Bread: wheat (W), italian (I), baguette (B) Cheese: grated (G), sliced (S) Meat : chicken (C), turkey (T), fish (F), ham (H) If each sandwich consists of one type of bread, one type of cheese, and one type of meat, which best represents four of his possible sandwich choices?

A
WIG, WCT, WGS, WST
B
WGT, WGF, WSC, WSH
C
WG, WS, WC, WT
D
WGSC, WGT, WBS, WGSF
3

Jalen is buying a new car. He has the given options. Model: compact, luxury, sport Transmission: automatic, manual Color: red, blue, black, yellow Jalen decides that he wants a yellow car. What is the total number of choices he has?

A
6
B
24
C
5
D
12
4

Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa’s PIN?

A
3200, 4200, 5200
B
0123, 0456, 0789
C
2345, 2034, 2134
D
1012, 1033, 1004
5

Two spinners that have sections numbered 1 through 5 are spun at the same time. Then, the numbers are added together. What is the total number of possible sums?

A
18
B
9
C
25
D
10
6

The Bawden family is shopping for a new television. They are making their decision based on brand and size. The family has 20 possible outcomes for choosing a television. Which is a possible number of brands and sizes that the family has to choose from?

A
10 brands and 10 sizes
B
2 brands and 20 sizes
C
4 brands and 16 sizes
D
5 brands and 4 sizes
7

Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three nonrepeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?

A
1234, 5678, 0246, 1357
B
A113, A123, A133, A143
C
0A23, 0a23,02A3, 02a3
D
A135, 135A, 1A35, 13A5
8

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is 7, Hannah wins. If the sum is not 7, Corrine wins. Corrine says Hannah can win only if the following occurs: 1 on the first cube, 6 on the second cube 2 on the first cube, 5 on the second cube 3 on the first cube, 4 on the second cube Which best explains if Corrine is correct?

A
Corrine is correct because there are no 7s on the cubes, so Hannah must roll a greater number on the second cube.
B
Corrine is not correct because Hannah can also roll doubles on the cubes, such as 3 on the first cube and 3 on the second cube or 4 on the first cube and 4 on the second cube.
C
Corrine is correct because there are only three ways to have a sum of 7 when the cubes are rolled.
D
Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
9

Jordan is planning to buy a vehicle. He has the following choices. Type: sedan or SUV Transmission: 5 -speed or automatic Color : red, blue, black, green, or silver Top: sunroof or no sunroof Jordan says that he has a total of 2 plus 2 plus 5 plus 2 , or 11 , possible vehicle choices. What is Jordan’s error?

A
He should have multiplied the choices, instead of adding them.
B
He should have multiplied only the choices for type and transmission.
C
He should have added only the choices for type and transmission.
D
He should have multiplied the sum by 4 .
10

Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes?

A
Table with 5 columns and 3 rows.Row 1: Column 1, empty; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'T'; Column 2, 'T1'; Column 3, 'T2'; Column 4, 'T3'; Column 5, 'T4' Row 3: Column 1, 'T'; Column 2, 'T1'; Column 3, 'T2'; Column 4, 'T3'; Column 5, 'T4'
B
Table with 5 columns and 3 rows.Row 1: Column 1, empty; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'H'; Column 2, 'H1'; Column 3, 'T2'; Column 4, 'H3'; Column 5, 'T4' Row 3: Column 1, 'T'; Column 2, 'H1'; Column 3, 'T2'; Column 4, 'H3'; Column 5, 'T4'
C
Table with 5 columns and 3 rows.Row 1: Column 1, empty; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'T'; Column 2, 'T1'; Column 3, 'T2'; Column 4, 'T3'; Column 5, 'T4' Row 3: Column 1, 'H'; Column 2, 'H1'; Column 3, 'H2'; Column 4, 'H3'; Column 5, 'H4'
D
Table with 5 columns and 3 rows.Row 1: Column 1, empty; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'H'; Column 2, 'H1'; Column 3, 'H2'; Column 4, 'H3'; Column 5, 'H4' Row 3: Column 1, 'H'; Column 2, 'H1'; Column 3, 'H2'; Column 4, 'H3'; Column 5, 'H4'

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