# Common Core: 7th Grade Math : Design and Use a Simulation to Generate Frequencies for Compound Events: CCSS.Math.Content.7.SP.C.8c

## Example Questions

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### Example Question #1 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin three times, with the coin landing on heads all three times, and rolling a  on a die?

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads three times in a row, we take the probability of the coin landing on heads and multiply it three times.

Based on the question, we want to combine the probability of flipping a coin three times, with the coin landing on heads all three times, with the probability of rolling a  on a die. There are  sides to a die, and only one of those sides has the number ; thus, the probability of rolling a  on a die is

We want the probability of all of these events occurring, so we need to multiply:

### Example Question #1 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin two times, with the coin landing on heads all two times, and rolling a  on a die?

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads two times in a row, we take the probability of the coin landing on heads and multiply it two times.

Based on the question, we want to combine the probability of flipping a coin two times, with the coin landing on heads all two times, with the probability of rolling a  on a die. There are  sides to a die, and only one of those sides has the number ; thus, the probability of rolling a  on a die is

We want the probability of all of these events occurring, so we need to multiply:

### Example Question #1 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin four times, with the coin landing on heads all four times, and rolling a  or a  on a die?

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads four times in a row, we take the probability of the coin landing on heads and multiply it four times.

Based on the question, we want to combine the probability of flipping a coin four times, with the coin landing on heads all four times, with the probability of rolling a  or a   on a die. There are  sides to a die, and one of those sides has the number  and one has the number ; thus, the probability of rolling a  or a  on a die is

We want the probability of all of these events occurring, so we need to multiply:

### Example Question #1 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin three times, with the coin landing on heads all three times, and rolling a  or a  on a die?

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads three times in a row, we take the probability of the coin landing on heads and multiply it three times.

Based on the question, we want to combine the probability of flipping a coin three times, with the coin landing on heads all three times, with the probability of rolling a  or a   on a die. There are  sides to a die, and one of those sides has the number  and one has the number ; thus, the probability of rolling a  or a  on a die is

We want the probability of all of these events occurring, so we need to multiply:

### Example Question #6 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin two times, with the coin landing on heads all two times, and rolling a  or a  on a die?

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads two times in a row, we take the probability of the coin landing on heads and multiply it two times.

Based on the question, we want to combine the probability of flipping a coin two times, with the coin landing on heads all two times, with the probability of rolling a  or a   on a die. There are  sides to a die, and one of those sides has the number  and one has the number ; thus, the probability of rolling a  or a  on a die is

We want the probability of all of these events occurring, so we need to multiply:

### Example Question #7 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin four times, with the coin landing on heads all four times, and rolling a , or a  on a die?

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads four times in a row, we take the probability of the coin landing on heads and multiply it four times.

Based on the question, we want to combine the probability of flipping a coin four times, with the coin landing on heads all four times, with the probability of rolling a , or a  on a die. There are  sides to a die, and one of those sides has the number , one side has a , and one has the number ; thus, the probability of rolling a , or a  on a die is

We want the probability of all of these events occurring, so we need to multiply:

### Example Question #1 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin four times, with the coin landing on heads all three times, and rolling a , or a  on a die?

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads three times in a row, we take the probability of the coin landing on heads and multiply it three times.

Based on the question, we want to combine the probability of flipping a coin three times, with the coin landing on heads all three times, with the probability of rolling a , or a  on a die. There are  sides to a die, and one of those sides has the number , one side has a , and one has the number ; thus, the probability of rolling a , or a  on a die is

We want the probability of all of these events occurring, so we need to multiply:

### Example Question #9 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin two times, with the coin landing on heads all two times, and rolling a , or a  on a die?

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads two times in a row, we take the probability of the coin landing on heads and multiply it two times.

Based on the question, we want to combine the probability of flipping a coin two times, with the coin landing on heads all two times, with the probability of rolling a , or a  on a die. There are  sides to a die, and one of those sides has the number , one side has a , and one has the number ; thus, the probability of rolling a , or a  on a die is

We want the probability of all of these events occurring, so we need to multiply:

### Example Question #10 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin four times, with the coin landing on heads all four times, and rolling any number on a die except

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads four times in a row, we take the probability of the coin landing on heads and multiply it four times.

Based on the question, we want to combine the probability of flipping a coin four times, with the coin landing on heads all four times, with the probability of rolling any number on a die except . There are  sides to a die, and five sides that aren't the number ; thus, the probability of rolling any number on a die except  is

We want the probability of all of these events occurring, so we need to multiply:

### Example Question #2 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin two times, with the coin landing on heads all two times, and rolling any number on a die except

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is

To determine the probability of the coin landing on heads two times in a row, we take the probability of the coin landing on heads and multiply it two times.

Based on the question, we want to combine the probability of flipping a coin two times, with the coin landing on heads all two times, with the probability of rolling any number on a die except . There are  sides to a die, and five sides that aren't the number ; thus, the probability of rolling any number on a die except  is

We want the probability of all of these events occurring, so we need to multiply:

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