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 #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 number other than  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:

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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 

Example Question #872 : Grade 7

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? 

 

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. 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 

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