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Common Core: 7th Grade Math : Statistics & Probability

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #6 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the greatest probability of occurring.

Possible Answers:

Using a standard deck of cards, drawing a spade

Using a standard deck of cards, drawing a King

Using a standard deck of cards, drawing a black Queen

Using a standard deck of cards, drawing an ace

Correct answer:

Using a standard deck of cards, drawing a spade

Explanation:

Probability is represented by a number between and .

Probabilities are usually written in a fraction form that expresses the likelihood of the event occurring. The greater the fraction—or number—then there is a better probability of the event occurring.

Each of our answer choices use a standard deck of cards, which has total cards.

First, let's find the probability of each event:

Drawing a black Queen: There are two black Queens in a standard deck; thus, the probability is:

$\frac{2}{52}$

Drawing a King: There are four Kings in a standard deck; thus, the probability is:

$\frac{4}{52}$

Drawing an ace: There are four aces in a standard deck; thus, the probability is:

$\frac{4}{52}$

Drawing a spade: There are spades in a standard deck; thus, the probability is:

$\frac{13}{52}$

This is the greatest probability and the correct answer.

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Example Question #1 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the lowest probability of occurring.

Possible Answers:

Using a standard deck of cards, drawing an ace

Using a standard deck of cards, drawing a spade

Using a standard deck of cards, drawing a black Queen

Using a standard deck of cards, drawing a King

Correct answer:

Using a standard deck of cards, drawing a black Queen

Explanation:

Probability is represented by a number between and .

Each of our answer choices use a standard deck of cards, which has total cards.

First, let's find the probability of each event:

Drawing a King: There are four Kings in a standard deck; thus, the probability is:

$\frac{4}{52}$

Drawing an ace: There are four aces in a standard deck; thus, the probability is:

$\frac{4}{52}$

Drawing a spade: There are spades in a standard deck; thus, the probability is:

$\frac{13}{52}$

Drawing a black Queen: There are two black Queens in a standard deck; thus, the probability is:

$\frac{2}{52}$

This is the lowest probability and the correct answer.

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Example Question #8 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the lowest probability of occurring.

Possible Answers:

Using a standard deck of cards, drawing a black

Using a standard deck of cards, drawing red

Using a standard deck of cards, drawing an of spades

Using a standard deck of cards, drawing a Queen

Correct answer:

Using a standard deck of cards, drawing an of spades

Explanation:

Probability is represented by a number between and .

Each of our answer choices use a standard deck of cards, which has total cards.

First, let's find the probability of each event:

Drawing red : There are two red s in a standard deck; thus, the probability is:

$\frac{2}{52}$

Drawing a black : There are two black s in a standard deck; thus, the probability is:

$\frac{2}{52}$

Drawing a Queen : There are four Queens in a standard deck; thus, the probability is:

$\frac{4}{52}$

Drawing an of spades: There is only one of spades in a standard deck; thus, the probability is:

$\frac{1}{52}$

This is the lowest probability and the correct answer.

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Example Question #9 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the greatest probability of occurring.

Possible Answers:

Using a standard deck of cards, drawing a Queen

Using a standard deck of cards, drawing red

Using a standard deck of cards, drawing an of spades

Using a standard deck of cards, drawing a black

Correct answer:

Using a standard deck of cards, drawing a Queen

Explanation:

Probability is represented by a number between and .

Each of our answer choices use a standard deck of cards, which has total cards.

First, let's find the probability of each event:

Drawing red : There are two red s in a standard deck; thus, the probability is:

$\frac{2}{52}$

Drawing an of spades: There is only one of spades in a standard deck; thus, the probability is:

$\frac{1}{52}$

Drawing a black : There are two black s in a standard deck; thus, the probability is:

$\frac{2}{52}$

Drawing a Queen : There are four Queens in a standard deck; thus, the probability is:

$\frac{4}{52}$

This is the greatest probability and the correct answer.

Report an Error

Example Question #11 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Select the answer choice that has the greatest probability of occurring.

Possible Answers:

Using a standard deck of cards, drawing a red card

Using a standard deck of cards, drawing a number card

Using a standard deck of cards, drawing a black card

Using a standard deck of cards, drawing a face card

Correct answer:

Using a standard deck of cards, drawing a number card

Explanation:

Probability is represented by a number between and .

Each of our answer choices use a standard deck of cards, which has total cards.

First, let's find the probability of each event:

Drawing a black card: Half of the cards in a standard deck are black; thus, the probability is:

$\frac{26}{52}$

Drawing a red card: Half of the cards in a standard deck are red; thus, the probability is:

$\frac{26}{52}$

Drawing a face card: There are face cards in a standard deck ( Jacks, Queens, Kings) ; thus, the probability is:

$\frac{12}{52}$

Drawing a number card : In a standard deck, the numbers 2-10 are used, and each number has four suites, which equals numbered cards; thus, the probability is:

$\frac{36}{52}$

This is the greatest probability and the correct answer.

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Example Question #51 : Statistics & Probability

Select the answer choice that has the lowest probability of occurring.

Possible Answers:

Using a standard deck of cards, drawing a King

Using a standard deck of cards, drawing a black King

Using a standard deck of cards, drawing a red King

Using a standard deck of cards, drawing the King of Hearts

Correct answer:

Using a standard deck of cards, drawing the King of Hearts

Explanation:

Probability is represented by a number between and .

Each of our answer choices use a standard deck of cards, which has total cards.

First, let's find the probability of each event:

Drawing a black King: There are two black Kings in a standard deck; thus, the probability is:

$\frac{2}{52}$

Drawing a red King: There are two red Kings in a standard deck; thus, the probability is:

$\frac{2}{52}$

Drawing a King: There are four Kings in a standard deck; thus, the probability is:

$\frac{4}{52}$

Drawing the King of Hearts : There is only one King of Hearts in a standard deck; thus, the probability is:

$\frac{1}{52}$

This is the least probability and the correct answer.

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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 300 times, roughly how many times would he roll a

Possible Answers:

100

Correct answer:

Explanation:

A die has sides, with each side displaying a number between 1-6 .

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:

$\frac{1}{6}$

This means that roughly $\frac{1}{6}$ of John's rolls will be a ; therefore, in order to calculate the probability we can multiply $\frac{1}{6}$ by 300 —the number of times John rolls the die.

$\frac{1}{6}\times\frac{300}{1}=\frac{300}{6}=50$

If John rolls a die 300 times, then he will roll a roughly times.

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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 600 times, roughly how many times would he roll a

Possible Answers:

200

100

Correct answer:

100

Explanation:

A die has sides, with each side displaying a number between 1-6 .

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:

$\frac{1}{6}$

This means that roughly $\frac{1}{6}$ of John's rolls will be a ; therefore, in order to calculate the probability we can multiply $\frac{1}{6}$ by 600 —the number of times John rolls the die.

$\frac{1}{6}\times\frac{600}{1}=\frac{600}{6}=100$

If John rolls a die 600 times, then he will roll a roughly 100 times.

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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 300 times, roughly how many times would he roll a or a

Possible Answers:

600

100

200

Correct answer:

100

Explanation:

A die has sides, with each side displaying a number between 1-6 .

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:

$\frac{2}{6}$

This means that roughly $\frac{2}{6}$ of John's rolls will be a or a ; therefore, in order to calculate the probability we can multiply $\frac{2}{6}$ by 300 —the number of times John rolls the die.

$\frac{2}{6}\times\frac{300}{1}=\frac{600}{6}=100$

If John rolls a die 300 times, then he will roll a or a roughly 100 times.

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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 600 times, roughly how many times would he roll a or a

Possible Answers:

260

200

300

360

100

Correct answer:

200

Explanation:

A die has sides, with each side displaying a number between 1-6 .

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:

$\frac{2}{6}$

This means that roughly $\frac{2}{6}$ of John's rolls will be a or a ; therefore, in order to calculate the probability we can multiply $\frac{2}{6}$ by 600 —the number of times John rolls the die.

$\frac{2}{6}\times\frac{600}{1}=\frac{1200}{6}=200$

If John rolls a die 600 times, then he will roll a or a roughly 200 times.

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : Statistics & Probability

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #6 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Example Question #1 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Example Question #8 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Example Question #9 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Example Question #11 : Understand Probability Of A Chance Event: Ccss.Math.Content.7.Sp.C.5

Example Question #51 : Statistics & Probability

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

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

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

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

All Common Core: 7th Grade Math Resources

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