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

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Example Questions

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 .

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

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

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

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

This is the greatest 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 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 .

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

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

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

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

This is the least probability and the correct answer.

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