Common Core: 7th Grade Math : Understand Probability of a Chance Event: CCSS.Math.Content.7.SP.C.5

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : 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 \displaystyle 2 of hearts

Using a standard deck of cards, drawing a \displaystyle 2 of spades

Using a standard deck of cards, drawing a \displaystyle 2 

Using a standard deck of cards, drawing a \displaystyle 2 of diamonds 

Correct answer:

Using a standard deck of cards, drawing a \displaystyle 2 

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 total cards.

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

Drawing a \displaystyle 2 of hearts: There is only one \displaystyle 2 of hearts in a standard deck; thus, the probability is:

\displaystyle \frac{1}{52}

Drawing a \displaystyle 2 of diamonds: There is only one \displaystyle 2 of diamonds in a standard deck; thus, the probability is:

\displaystyle \frac{1}{52}

Drawing a \displaystyle 2 of spades: There is only one \displaystyle 2 of spades in a standard deck; thus, the probability is:

\displaystyle \frac{1}{52}

Drawing a \displaystyle 2: There are four \displaystyle 2s in a standard deck; thus, the probability is:

\displaystyle \frac{4}{52}

This is the greatest probability and the correct answer.

Example Question #1 : 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 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 a King

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 total cards.

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

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

\displaystyle \frac{1}{52}

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

\displaystyle \frac{2}{52}

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

\displaystyle \frac{2}{52}

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

\displaystyle \frac{4}{52}

This is the greatest probability and the correct answer.

Example Question #2 : 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 face card

Using a standard deck of cards, drawing a red \displaystyle 4 

Using a standard deck of cards, drawing a \displaystyle 4

Using a standard deck of cards, drawing an ace

Correct answer:

Using a standard deck of cards, drawing a face card

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 total cards.

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

Drawing a red \displaystyle 4: There are two red \displaystyle 4s in a standard deck; thus, the probability is:

\displaystyle \frac{2}{52}

Drawing a \displaystyle 4 of diamonds: There are four \displaystyle 4s in a standard deck; thus, the probability is:

\displaystyle \frac{4}{52}

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

\displaystyle \frac{4}{52}

Drawing a face card: There are \displaystyle 12 face cards in a standard deck (\displaystyle 4 Jacks, \displaystyle 4 Queens, \displaystyle 4 Kings); thus, the probability is:

\displaystyle \frac{12}{52}

This is the greatest probability and the correct answer.

Example Question #2 : 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 face card

Using a standard deck of cards, drawing a \displaystyle 4

Using a standard deck of cards, drawing a red \displaystyle 4 

Correct answer:

Using a standard deck of cards, drawing a red \displaystyle 4 

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 total cards.

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

Drawing a \displaystyle 4 of diamonds: There are four \displaystyle 4s in a standard deck; thus, the probability is:

\displaystyle \frac{4}{52}

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

\displaystyle \frac{4}{52}

Drawing a face card: There are \displaystyle 12 face cards in a standard deck (\displaystyle 4 Jacks, \displaystyle 4 Queens, \displaystyle 4 Kings); thus, the probability is:

\displaystyle \frac{12}{52}

Drawing a red \displaystyle 4: There are two red \displaystyle 4s in a standard deck; thus, the probability is:

\displaystyle \frac{2}{52}

This is the lowest probability and the correct answer.

Example Question #47 : Statistics & Probability

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

 

Possible Answers:

Using a standard deck of cards, drawing a face card

Using a standard deck of cards, drawing a red card

Using a standard deck of cards, drawing an ace

Using a standard deck of cards, drawing a red \displaystyle 7

Correct answer:

Using a standard deck of cards, drawing a red card

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 total cards.

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

Drawing a red \displaystyle 7: There are two red \displaystyle 7s in a standard deck; thus, the probability is:

\displaystyle \frac{2}{52}

Drawing an ace: There \displaystyle 4 aces in a standard deck; thus, the probability is:

\displaystyle \frac{4}{52}

Drawing a face card: There are \displaystyle 12 face cards in a standard deck (\displaystyle 4 Jacks, \displaystyle 4 Queens, \displaystyle 4 Kings) ; thus, the probability is:

\displaystyle \frac{12}{52}

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

\displaystyle \frac{26}{52}

This is the greatest probability and the correct answer.

Example Question #3 : 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 red \displaystyle 7

Using a standard deck of cards, drawing a face card

Using a standard deck of cards, drawing a red card

Correct answer:

Using a standard deck of cards, drawing a red \displaystyle 7

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 total cards.

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

Drawing an ace: There \displaystyle 4 aces in a standard deck; thus, the probability is:

\displaystyle \frac{4}{52}

Drawing a face card: There are \displaystyle 12 face cards in a standard deck (\displaystyle 4 Jacks, \displaystyle 4 Queens, \displaystyle 4 Kings) ; thus, the probability is:

\displaystyle \frac{12}{52}

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

\displaystyle \frac{26}{52}

Drawing a red \displaystyle 7: There are two red \displaystyle 7s in a standard deck; thus, the probability is:

\displaystyle \frac{2}{52}

This is the lowest probability and the correct answer.

Example Question #4 : 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 black Queen

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 an ace

Correct answer:

Using a standard deck of cards, drawing a spade

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 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:

\displaystyle \frac{2}{52}

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

\displaystyle \frac{4}{52}

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

\displaystyle \frac{4}{52}

Drawing a spade: There are \displaystyle 13 spades in a standard deck; thus, the probability is:

\displaystyle \frac{13}{52}

This is the greatest probability and the correct answer.

Example Question #2 : 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 Queen

Using a standard deck of cards, drawing a King

Using a standard deck of cards, drawing an ace

Using a standard deck of cards, drawing a spade

 

Correct answer:

Using a standard deck of cards, drawing a black Queen

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 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:

\displaystyle \frac{4}{52}

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

\displaystyle \frac{4}{52}

Drawing a spade: There are \displaystyle 13 spades in a standard deck; thus, the probability is:

\displaystyle \frac{13}{52}

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

\displaystyle \frac{2}{52}

This is the lowest probability and the correct answer.

 

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 an \displaystyle 8 of spades

Using a standard deck of cards, drawing a Queen

Using a standard deck of cards, drawing red \displaystyle 9

 

Using a standard deck of cards, drawing a black \displaystyle 9

Correct answer:

Using a standard deck of cards, drawing an \displaystyle 8 of spades

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 total cards.

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

Drawing red \displaystyle 9: There are two red \displaystyle 9s in a standard deck; thus, the probability is:

\displaystyle \frac{2}{52}

Drawing a black \displaystyle 9 : There are two black \displaystyle 9s in a standard deck; thus, the probability is:

\displaystyle \frac{2}{52}

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

\displaystyle \frac{4}{52}

Drawing an \displaystyle 8 of spades: There is only one \displaystyle 8 of spades in a standard deck; thus, the probability is:

\displaystyle \frac{1}{52}

This is the lowest probability and the correct answer.

 

Example Question #51 : Statistics & Probability

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 \displaystyle 9

Using a standard deck of cards, drawing a black \displaystyle 9 

Using a standard deck of cards, drawing an \displaystyle 8 of spades

Correct answer:

Using a standard deck of cards, drawing a Queen

Explanation:

Probability is represented by a number between \displaystyle 0 and \displaystyle 1.

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 \displaystyle 52 total cards.

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

Drawing red \displaystyle 9: There are two red \displaystyle 9s in a standard deck; thus, the probability is:

\displaystyle \frac{2}{52}

Drawing an \displaystyle 8 of spades: There is only one \displaystyle 8 of spades in a standard deck; thus, the probability is:

\displaystyle \frac{1}{52}

Drawing a black \displaystyle 9 : There are two black \displaystyle 9s in a standard deck; thus, the probability is:

\displaystyle \frac{2}{52}

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

\displaystyle \frac{4}{52}

This is the greatest probability and the correct answer.

Learning Tools by Varsity Tutors