### All Common Core: 7th Grade Math Resources

## Example Questions

### Example Question #31 : Outcomes

A *loaded* coin is tossed times, with the result being heads times. Based on this observation, what is the probability that the next toss of this coin will be tails?

**Possible Answers:**

**Correct answer:**

The probability of an event based on observation (empirical probability) can be calculated by dividing the number of times the event occurs by the number of trials total. Since there were trials and heads, there were tails.

The probability of tails is therefore given by the number of tails divided by the total number of trials. Both terms are divisible by , allowing us to simplify the fraction.

### Example Question #1 : Approximate The Probability Of A Chance Event By Collecting Data: Ccss.Math.Content.7.Sp.C.6

If John were to roll a die times, roughly how many times would he roll a

**Possible Answers:**

**Correct answer:**

A die has sides, with each side displaying a number between .

Let's first determine the probability of rolling a after John rolls the die a single time.

There is a total of sides on a die and only one value of on one side; thus, our probability is:

This means that roughly of John's rolls will be a ; therefore, in order to calculate the probability we can multiply by —the number of times John rolls the die.

If John rolls a die times, then he will roll a roughly times.

### Example Question #2 : Approximate The Probability Of A Chance Event By Collecting Data: Ccss.Math.Content.7.Sp.C.6

If John were to roll a die times, roughly how many times would he roll a

**Possible Answers:**

**Correct answer:**

A die has sides, with each side displaying a number between .

Let's first determine the probability of rolling a after John rolls the die a single time.

There is a total of sides on a die and only one value of on one side; thus, our probability is:

This means that roughly of John's rolls will be a ; therefore, in order to calculate the probability we can multiply by —the number of times John rolls the die.

If John rolls a die times, then he will roll a roughly times.

### Example Question #2 : Approximate The Probability Of A Chance Event By Collecting Data: Ccss.Math.Content.7.Sp.C.6

If John were to roll a die times, roughly how many times would he roll a or a

**Possible Answers:**

**Correct answer:**

A die has sides, with each side displaying a number between .

Let's first determine the probability of rolling a or a after John rolls the die a single time.

There is a total of sides on a die and we have one value of and one value of ; thus, our probability is:

This means that roughly of John's rolls will be a or a ; therefore, in order to calculate the probability we can multiply by —the number of times John rolls the die.

If John rolls a die times, then he will roll a or a roughly times.

### Example Question #4 : Approximate The Probability Of A Chance Event By Collecting Data: Ccss.Math.Content.7.Sp.C.6

If John were to roll a die times, roughly how many times would he roll a or a

**Possible Answers:**

**Correct answer:**

A die has sides, with each side displaying a number between .

Let's first determine the probability of rolling a or a after John rolls the die a single time.

There is a total of sides on a die and we have one value of and one value of ; thus, our probability is:

This means that roughly of John's rolls will be a or a ; therefore, in order to calculate the probability we can multiply by —the number of times John rolls the die.

If John rolls a die times, then he will roll a or a roughly times.

### Example Question #3 : Approximate The Probability Of A Chance Event By Collecting Data: Ccss.Math.Content.7.Sp.C.6

If John were to roll a die times, roughly how many times would he roll an even number?

**Possible Answers:**

**Correct answer:**

A die has sides, with each side displaying a number between .

Let's first determine the probability of rolling an even number after John rolls the die a single time.

There is a total of sides on a die and even numbers: ; thus, our probability is:

This means that roughly of John's rolls will be an even number; therefore, in order to calculate the probability we can multiply by —the number of times John rolls the die.

If John rolls a die times, then he will roll an even number roughly times.

### Example Question #4 : Approximate The Probability Of A Chance Event By Collecting Data: Ccss.Math.Content.7.Sp.C.6

If John were to roll a die times, roughly how many times would he roll an odd number?

**Possible Answers:**

**Correct answer:**

A die has sides, with each side displaying a number between .

Let's first determine the probability of rolling an odd number after John rolls the die a single time.

There is a total of sides on a die and odd numbers: ; thus, our probability is:

This means that roughly of John's rolls will be an odd number; therefore, in order to calculate the probability we can multiply by —the number of times John rolls the die.

If John rolls a die times, then he will roll an odd number roughly times.

### Example Question #5 : Approximate The Probability Of A Chance Event By Collecting Data: Ccss.Math.Content.7.Sp.C.6

If John were to roll a die times, roughly how many times would he roll a , a , or a

**Possible Answers:**

**Correct answer:**

A die has sides, with each side displaying a number between .

Let's first determine the probability of rolling a , a , or a after John rolls the die a single time.

There is a total of sides on a die and we have one value of , one value of and one value of ; thus, our probability is:

This means that roughly of John's rolls will be a , , or a ; therefore, in order to calculate the probability we can multiply by —the number of times John rolls the die.

If John rolls a die times, then he will roll a , , or a roughly times.

### Example Question #6 : Approximate The Probability Of A Chance Event By Collecting Data: Ccss.Math.Content.7.Sp.C.6

If John were to roll a die times, roughly how many times would he roll an odd number or a

**Possible Answers:**

**Correct answer:**

A die has sides, with each side displaying a number between .

Let's first determine the probability of rolling an odd number or a after John rolls the die a single time.

There is a total of sides on a die and odd numbers: and one ; thus, our probability is:

This means that roughly of John's rolls will be an odd number or a ; therefore, in order to calculate the probability we can multiply by —the number of times John rolls the die.

If John rolls a die times, then he will roll an odd number or a roughly times.

### Example Question #9 : Approximate The Probability Of A Chance Event By Collecting Data: Ccss.Math.Content.7.Sp.C.6

If John were to roll a die times, roughly how many times would he roll an even number or a

**Possible Answers:**

**Correct answer:**

A die has sides, with each side displaying a number between .

Let's first determine the probability of rolling an even number or a after John rolls the die a single time.

There is a total of sides on a die and even numbers: and one ; thus, our probability is:

This means that roughly of John's rolls will be an even number or a ; therefore, in order to calculate the probability we can multiply by —the number of times John rolls the die.

If John rolls a die times, then he will roll an even number or a roughly times.