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
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?
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
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?
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
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 even number and the coin will land with heads facing up?
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
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?
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
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?
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
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?
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
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?
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
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 an odd number and the spinner will land on orange?
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
Example Question #9 : 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?
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
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 or orange?
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
All Common Core: 7th Grade Math Resources
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