AnswersCommon Core Math 7 - MA3107 CRCompound Events and Sample Space

Compound Events and Sample Space Answers

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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 cube2 on the first cube, 5 on the second cube3 on the first cube, 4 on the second cubeWhich best explains if Corrine is correct?

A
Corrine is correct because there are only three ways to have a sum of 7 when the cubes are rolled.
B
Corrine is correct because there are no 7s on the cubes, so Hannah must roll a greater number on the second cube.
C
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.
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.
5

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
A tree diagram. H branches to H and T, and T branches to H and T.
Option A
B
A tree diagram. H branches to H and H, and T branches to T and T.
Option B
C
A tree diagram. H branches to H and T, and H branches to H and T.
Option C
D
A tree diagram. T branches to H and T, and T branches to H and T.
Option D
6

Jamie made the tree diagram below to show the different choices he has for ordering a pizza for lunch.According to the tree diagram, which best describes how many choices Jamie has for his pizza?

Question illustration
A
three choices for size, two choices for crust, and two choices for topping
B
three choices for size, two choices for crust, and one choice for topping
C
two choices for size, two choices for crust, and one choice for topping
D
two choices for size, two choices for crust, and two choices for topping
7

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
A 5-column table with 2 rows. Column 1 has entries H, H. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries H 2, H 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries H 4, H 4.
Option A
B
A 5-column table with 2 rows. Column 1 has entries T, T. Column 2 is labeled 1 with entries T 1, T 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries T 3, T 3. Column 5 is labeled 4 with entries T 4, T 4.
Option B
C
A 5-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries T 4, T 4.
Option C
D
A 5-column table with 2 rows. Column 1 has entries T, H. Column 2 is labeled 1 with entries T 1, H 1. Column 3 is labeled 2 with entries T 2, H 2. Column 4 is labeled 3 with entries T 3, H 3. Column 5 is labeled 4 with entries T 4, H 4.
Option D
8

Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left after she chooses the color?

A
Tahari has 60 options left because .
Option A
B
Tahari has 12 options left because she has options left.
Option B
C
Tahari has 12 options left because .
Option C
D
Tahari has 7 options left because she has options left.
Option D

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