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.
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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
5 brands and 4 sizes
C
4 brands and 16 sizes
D
2 brands and 20 sizes
3

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

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