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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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All Common Core: 7th Grade Math Resources

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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:

$\frac{1}{4}$

$\frac{1}{12}$

$\frac{1}{6}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{12}$

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:

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 $\frac{1}{12}$

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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:

$\frac{1}{12}$

$\frac{1}{2}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{12}$

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:

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 $\frac{1}{12}$

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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:

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{1}{4}$

Correct answer:

$\frac{1}{4}$

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:

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 $\frac{3}{12}=\frac{1}{4}$

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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 an odd number and the coin will land with tails facing up?

Possible Answers:

$\frac{1}{12}$

$\frac{1}{4}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{4}$

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:

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 $\frac{3}{12}=\frac{1}{4}$

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Example Question #5 : 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:

$\frac{1}{2}$

$\frac{1}{6}$

$\frac{1}{12}$

Correct answer:

$\frac{1}{6}$

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:

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 $\frac{2}{12}=\frac{1}{6}$

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Example Question #6 : 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 yellow?

Possible Answers:

$\frac{1}{3}$

$\frac{1}{18}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{18}$

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:

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 $\frac{1}{18}$

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Example Question #7 : 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?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{18}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{6}$

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:

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 $\frac{3}{18}=\frac{1}{6}$

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Example Question #8 : 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 odd number and the spinner will land on orange?

Possible Answers:

$\frac{1}{3}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{6}$

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:

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 $\frac{3}{18}=\frac{1}{6}$

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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?

Possible Answers:

$\frac{2}{3}$

$\frac{1}{9}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{9}$

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:

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 $\frac{2}{18}=\frac{1}{9}$

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Example Question #10 : 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 number other than and the spinner will land on yellow or orange?

Possible Answers:

$\frac{5}{9}$

$\frac{7}{9}$

$\frac{1}{}9$

Correct answer:

$\frac{5}{9}$

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:

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 $\frac{10}{18}=\frac{5}{9}$

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All Common Core: 7th Grade Math Resources

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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

All Common Core: 7th Grade Math Resources

Example Questions

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

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

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

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

Example Question #5 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Example Question #6 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

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

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

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

Example Question #10 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

All Common Core: 7th Grade Math Resources

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