Represent Sample Spaces for Compound Events: CCSS.Math.Content.7.SP.C.8b

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7th Grade Math › Represent Sample Spaces for Compound Events: CCSS.Math.Content.7.SP.C.8b

Questions 1 - 10
1

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll a number other than and the spinner will land on yellow?

1

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and spinning the spinner:

2

As shown from the diagram, we have possible outcomes. There are five numbers other than : , , , , and and for those five numbers, the spinner can land on yellow once; thus, the probability is

2

Charlie is going to roll a die and flip a coin. What is the probability that he will roll a number other than and the coin will land with heads facing up?

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:

1

As shown from the diagram, we have possible outcomes. There are five other numbers on a die, other than : , , , , and . Looking at those numbers on the diagram, we can see that there are five ways to roll a number other than and for the coin to land on heads; thus, the probability is

3

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll an even number and the spinner will land on pink?

1

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and spinning the spinner:

2

As shown from the diagram, we have possible outcomes. There are three even numbers on a die: , , and and for each other those numbers there is one way to spin a pink; thus, the probability is

4

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll a number other than and the spinner will land on yellow or orange?

1

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and spinning the spinner:

2

As shown from the diagram, we have possible outcomes. There are five numbers other than : , , , , and . For those five numbers, the spinner can land one of two colors, yellow or orange; thus, the probability is

5

Charlie is going to roll a die and flip a coin. What is the probability that he will roll an even number and the coin will land with heads facing up?

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:

1

As shown from the diagram, we have possible outcomes. A die has three even numbers: , , and . Looking at those numbers on the diagram, we can see that there are three ways to roll an even number and for the coin to land on heads; thus, the probability is

6

Charlie is going to roll a die and flip a coin. What is the probability that he will roll a and the coin will land with heads or tails facing up?

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:

1

As shown from the diagram, we have possible outcomes, but there is only one way to roll a and the coin can either land on heads or tails; thus, the probability is

7

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll a and the spinner will land on yellow?

1

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and spinning the spinner:

2

As shown from the diagram, we have possible outcomes. There is only one way to roll a six and for the spinner to land on yellow; thus, the probability is

8

Charlie is going to roll a die and flip a coin. What is the probability that he will roll a and the coin will land with tails facing up?

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:

1

As shown from the diagram, we have possible outcomes, but there is only one way to roll a and for the coin to land on tails; thus, the probability is

9

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll an odd number and the spinner will land on orange?

1

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and spinning the spinner:

2

As shown from the diagram, we have possible outcomes. There are three odd numbers on a die: , , and and for each of those numbers there is one way to spin an orange; thus, the probability is

10

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll a and the spinner will land on any color except yellow?

1

Explanation

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and spinning the spinner:

2

As shown from the diagram, we have possible outcomes. There is only one way to roll a six and two colors other than yellow; thus, the probability is

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