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

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #1 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

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 facing up? 

Possible Answers:

Correct answer:

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 heads; thus, the probability is 

Example Question #2 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

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? 

 

Possible Answers:

Correct answer:

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 

Example Question #1 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

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? 

 

Possible Answers:

Correct answer:

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 

Example Question #3 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

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

 

Possible Answers:

Correct answer:

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 odd numbers: , and . Looking at those numbers on the diagram, we can see that there are three ways to roll an odd number and for the coin to land on tails; thus, the probability is 

Example Question #4 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

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? 

 

Possible Answers:

Correct answer:

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 

Example Question #871 : Grade 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

 

Possible Answers:

Correct answer:

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 

Example Question #1 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

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

 

Possible Answers:

Correct answer:

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 

Example Question #873 : Grade 7

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

Possible Answers:

Correct answer:

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 

Example Question #2 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

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

 

Possible Answers:

Correct answer:

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 

Example Question #875 : Grade 7

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

Possible Answers:

Correct answer:

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 

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