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Common Core: 7th Grade Math : Grade 7

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 #561 : Data Analysis And Probability

If a class has boys and girls, what is the probability the teacher will call on a boy?

Possible Answers:

$\frac{5}{11}$

$\frac{1}{10}$

$\frac{10}{12}$

Correct answer:

$\frac{5}{11}$

Explanation:

To find the probability of an event, we will use the following formula:

$\text{probability of an event} = \frac{\text{number of ways event can happen}}{\text{total number of possible outcomes}}$

Now, in the event of calling on a boy in the class, we can determine the number of ways the event can happen:

$\text{number of ways event can happen} = 10$

because there are 10 boy students in the class.

To find the number of possible outcomes, we get

$\text{total number of possible outcomes} = 22$

because there are 22 total students the teacher could potentially call on.

Knowing all of this, we can substitute into the formula. We get

$\text{probability of calling on a boy} = \frac{10}{22}$

Reduce:

$\text{probability of calling on a boy} = \frac{5}{11}$

Therefore, the probability of calling on a boy is $\frac{5}{11}$ .

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Example Question #1 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Megan has a bag of marbles containing pink marbles, orange marbles, green marbles, and yellow marbles. What is the probability that Megan will pick a pink marble out of the bag?

Possible Answers:

$\frac{3}{15}$

$\frac{4}{16}$

$\frac{5}{16}$

$\frac{5}{15}$

$\frac{3}{16}$

Correct answer:

$\frac{5}{16}$

Explanation:

In this problem we have a total of marbles. That means that each marble, regardless of color, has a $\frac{1}{16}$ chance of being picked, as shown in the images below. This image shows equal probability because each marble has a $\frac{1}{16}$ chance of being drawn, which is equal to the probability of all of the other marbles.

Megan wants to know what her probability is of drawing a pink marble out of her bag. Remember, probability is the number of favorable outcomes over the total number of outcomes:

$\textup{P}=\frac{\textup{favorable outcomes}}{\textup{total outcomes}}$

For this problem there are pink marbles; therefore,

$\textup{P(pink marble)}=\frac{5}{16}$

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Example Question #841 : Grade 7

Megan has a bag of marbles containing pink marbles, orange marbles, green marbles, and yellow marbles. What is the probability that Megan will pick an orange marble out of the bag?

Possible Answers:

$\frac{3}{16}$

$\frac{2}{16}$

$\frac{8}{15}$

$\frac{2}{15}$

$\frac{6}{15}$

Correct answer:

$\frac{3}{16}$

Explanation:

Megan wants to know what her probability is of drawing an orange marble out of her bag. Remember, probability is the number of favorable outcomes over the total number of outcomes:

$\textup{P}=\frac{\textup{favorable outcomes}}{\textup{total outcomes}}$

For this problem there are orange marbles; therefore,

$\textup{P(orange marble)}=\frac{3}{16}$

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Example Question #842 : Grade 7

Megan has a bag of marbles containing pink marbles, orange marbles, green marbles, and yellow marbles. What is the probability that Megan will pick a green marble out of the bag?

Possible Answers:

$\frac{3}{16}$

$\frac{2}{16}$

$\frac{8}{16}$

$\frac{6}{16}$

$\frac{5}{16}$

Correct answer:

$\frac{6}{16}$

Explanation:

Megan wants to know what her probability is of drawing a green marble out of her bag. Remember, probability is the number of favorable outcomes over the total number of outcomes:

$\textup{P}=\frac{\textup{favorable outcomes}}{\textup{total outcomes}}$

For this problem there are green marbles; therefore,

$\textup{P(green marble)}=\frac{6}{16}$

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Example Question #4 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Megan has a bag of marbles containing pink marbles, orange marbles, green marbles, and yellow marbles. What is the probability that Megan will pick a yellow marble out of the bag?

Possible Answers:

$\frac{2}{16}$

$\frac{5}{15}$

$\frac{2}{15}$

$\frac{3}{15}$

$\frac{3}{16}$

Correct answer:

$\frac{2}{16}$

Explanation:

Megan wants to know what her probability is of drawing a yellow marble out of her bag. Remember, probability is the number of favorable outcomes over the total number of outcomes:

$\textup{P}=\frac{\textup{favorable outcomes}}{\textup{total outcomes}}$

For this problem there are yellow marbles; therefore,

$\textup{P(yellow marble)}=\frac{2}{16}$

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Example Question #5 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Samantha has a bag of marbles containing pink marbles, orange marble, red marbles, purple marbles, white marbles, black marble, green marbles, and yellow marble. What is the probability that Samantha will pick a orange marble out of the bag?

Possible Answers:

$\frac{1}{19}$

$\frac{1}{18}$

$\frac{1}{17}$

$\frac{2}{18}$

$\frac{2}{17}$

Correct answer:

$\frac{1}{19}$

Explanation:

In this problem we have a total of marbles. That means that each marble, regardless of color, has a $\frac{1}{19}$ chance of being picked, as shown in the images below. This image shows equal probability because each marble has a $\frac{1}{19}$ chance of being drawn, which is equal to the probability of all of the other marbles.

Samantha wants to know what her probability is of drawing a orange marble out of her bag. Remember, probability is the number of favorable outcomes over the total number of outcomes:

$\textup{P}=\frac{\textup{favorable outcomes}}{\textup{total outcomes}}$

For this problem there is orange marble; therefore,

$\textup{P(orange marble)}=\frac{1}{19}$

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Example Question #2 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Possible Answers:

$\frac{1}{19}$

$\frac{3}{18}$

$\frac{2}{19}$

$\frac{3}{19}$

$\frac{1}{18}$

Correct answer:

$\frac{3}{19}$

Explanation:

Samantha wants to know what her probability is of drawing a pink marble out of her bag. Remember, probability is the number of favorable outcomes over the total number of outcomes:

$\textup{P}=\frac{\textup{favorable outcomes}}{\textup{total outcomes}}$

For this problem there are pink marbles; therefore,

$\textup{P(pink marble)}=\frac{3}{19}$

Report an Error

Example Question #3 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Possible Answers:

$\frac{1}{19}$

$\frac{4}{19}$

$\frac{5}{19}$

$\frac{5}{18}$

$\frac{2}{19}$

Correct answer:

$\frac{5}{19}$

Explanation:

Samantha wants to know what her probability is of drawing a white marble out of her bag. Remember, probability is the number of favorable outcomes over the total number of outcomes:

$\textup{P}=\frac{\textup{favorable outcomes}}{\textup{total outcomes}}$

For this problem there are white marbles; therefore,

$\textup{P(white marble)}=\frac{5}{19}$

Report an Error

Example Question #4 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Possible Answers:

$\frac{2}{19}$

$\frac{1}{19}$

$\frac{2}{17}$

$\frac{3}{19}$

$\frac{2}{18}$

Correct answer:

$\frac{2}{19}$

Explanation:

Samantha wants to know what her probability is of drawing a red marble out of her bag. Remember, probability is the number of favorable outcomes over the total number of outcomes:

$\textup{P}=\frac{\textup{favorable outcomes}}{\textup{total outcomes}}$

For this problem there are red marbles; therefore,

$\textup{P(red marble)}=\frac{2}{19}$

Report an Error

Example Question #8 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Possible Answers:

$\frac{1}{19}$

$\frac{3}{18}$

$\frac{2}{19}$

$\frac{2}{18}$

$\frac{1}{17}$

Correct answer:

$\frac{2}{19}$

Explanation:

Samantha wants to know what her probability is of drawing a pink marble out of her bag. Remember, probability is the number of favorable outcomes over the total number of outcomes:

$\textup{P}=\frac{\textup{favorable outcomes}}{\textup{total outcomes}}$

For this problem there are purple marbles; therefore,

$\textup{P(purple marble)}=\frac{2}{19}$

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : Grade 7

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #561 : Data Analysis And Probability

Example Question #1 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Example Question #841 : Grade 7

Example Question #842 : Grade 7

Example Question #4 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Example Question #5 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Example Question #2 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Example Question #3 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Example Question #4 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Example Question #8 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

All Common Core: 7th Grade Math Resources

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