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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 #9 : 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 black marble out of the bag?

Possible Answers:

$\frac{1}{18}$

$\frac{1}{19}$

$\frac{2}{19}$

$\frac{3}{19}$

$\frac{3}{18}$

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 black 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 black marble; therefore,

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

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Example Question #11 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Possible Answers:

$\frac{4}{18}$

$\frac{2}{19}$

$\frac{2}{18}$

$\frac{1}{19}$

$\frac{4}{19}$

Correct answer:

$\frac{4}{19}$

Explanation:

Samantha 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,

$\textup{P(green marble)}=\frac{4}{19}$

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Example Question #12 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Possible Answers:

$\frac{1}{19}$

$\frac{1}{17}$

$\frac{2}{19}$

$\frac{1}{18}$

$\frac{3}{19}$

Correct answer:

$\frac{1}{19}$

Explanation:

Samantha 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 is yellow marble; therefore,

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

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Example Question #1 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Joe has a bag of marbles: red marbles, , yellow marbles, and blue marbles. If the first marble he draws is a red marble, then what is the probability that he will draw a blue marble on his second try?

Possible Answers:

$\frac{1}{5}$

$\frac{2}{5}$

$\frac{3}{11}$

$\frac{4}{11}$

Correct answer:

$\frac{2}{5}$

Explanation:

Joe starts out with marbles, and of the marbles are blue. This means that the probability of Joe drawing a blue marble from the bag on his first attempt is $\frac{4}{11}$

Now that Joe has taken a red marble from the bag, we still have blue marbles left, but only a total of marbles left in the bag; thus, the probability of Joe drawing a blue marble on his second attempt is $\frac{4}{10}=\frac{2}{5}$

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Example Question #2 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Dan has a bag of marbles: red marbles, , yellow marbles, and blue marbles, purple marble, and orange. If the first marble he draws is a purple marble, then what is the probability that he will draw a red marble on his second try?

Possible Answers:

$\frac{5}{16}$

$\frac{4}{16}$

$\frac{5}{17}$

$\frac{4}{17}$

Correct answer:

$\frac{5}{16}$

Explanation:

Dan starts out with marbles, and of the marbles are red. This means that the probability of Dan drawing a blue marble from the bag on his first attempt is $\frac{5}{17}$

Now that Dan has taken a purple marble from the bag, we still have red marbles left, but only a total of marbles left in the bag; thus, the probability of Dan drawing a red marble on his second attempt is $\frac{5}{16}$

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Example Question #141 : Statistics & Probability

Joe has a bag of marbles: red marbles, , yellow marbles, and blue marbles. If the first marble he draws is a red marble, then what is the probability that he will draw another red marble on his second try?

Possible Answers:

$\frac{3}{11}$

$\frac{4}{11}$

$\frac{3}{10}$

$\frac{4}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

Joe starts out with marbles, and of the marbles are red. This means that the probability of Joe drawing a red marble from the bag on his first attempt is $\frac{4}{11}$

Now that Joe has taken a red marble from the bag, we have only red marbles left, and a total of marbles left in the bag; thus, the probability of Joe drawing a red marble on his second attempt is $\frac{3}{10}$

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Example Question #142 : Statistics & Probability

Joe has a bag of marbles: red marbles, , yellow marbles, and blue marbles. If the first marble he draws is a yellow marble, then what is the probability that he will draw another yellow marble on his second try?

Possible Answers:

$\frac{3}{11}$

$\frac{1}{5}$

$\frac{3}{10}$

$\frac{2}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

Joe starts out with marbles, and of the marbles are yellow. This means that the probability of Joe drawing a yellow marble from the bag on his first attempt is $\frac{3}{11}$

Now that Joe has taken a yellow marble from the bag, we have only yellow marbles left, and a total of marbles left in the bag; thus, the probability of Joe drawing a yellow marble on his second attempt is $\frac{2}{10}=\frac{1}{5}$

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Example Question #1 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Joe has a bag of marbles: red marbles, , yellow marbles, and blue marbles. If the first marble he draws is a blue marble, then what is the probability that he will draw another blue marble on his second try?

Possible Answers:

$\frac{4}{11}$

$\frac{4}{10}$

$\frac{3}{11}$

$\frac{3}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

Joe starts out with marbles, and of the marbles are blue. This means that the probability of Joe drawing a blue marble from the bag on his first attempt is $\frac{4}{11}$

Now that Joe has taken a blue marble from the bag, we have only blue marbles left, and a total of marbles left in the bag; thus, the probability of Joe drawing a blue marble on his second attempt is $\frac{3}{10}$

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Example Question #3 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Joe has a bag of marbles: red marbles, , yellow marbles, and blue marbles. If the first marble he draws is a red marble, then what is the probability that he will draw a yellow marble on his second try?

Possible Answers:

$\frac{2}{11}$

$\frac{3}{11}$

$\frac{2}{10}$

$\frac{3}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

Joe starts out with marbles, and of the marbles are yellow. This means that the probability of Joe drawing a yellow marble from the bag on his first attempt is $\frac{3}{11}$

Now that Joe has taken a red marble from the bag, we still have yellow marbles left, but only a total of marbles left in the bag; thus, the probability of Joe drawing a yellow marble on his second attempt is $\frac{3}{10}$

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Example Question #851 : Grade 7

Dan has a bag of marbles: red marbles, , yellow marbles, and blue marbles, purple marble, and orange. If the first marble he draws is a red marble, then what is the probability that he will draw a blue marble on his second try?

Possible Answers:

$\frac{7}{16}$

$\frac{6}{17}$

$\frac{6}{16}$

$\frac{7}{17}$

Correct answer:

$\frac{7}{16}$

Explanation:

Dan starts out with marbles, and of the marbles are blue. This means that the probability of Dan drawing a blue marble from the bag on his first attempt is $\frac{7}{17}$

Now that Dan has taken a red marble from the bag, we still have blue marbles left, but only a total of marbles left in the bag; thus, the probability of Dan drawing a blue marble on his second attempt is $\frac{7}{16}$

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

Example Question #11 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Example Question #12 : Develop A Uniform Probability Model By Assigning Equal Probability To All Outcomes: Ccss.Math.Content.7.Sp.C.7a

Example Question #1 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Example Question #2 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Example Question #141 : Statistics & Probability

Example Question #142 : Statistics & Probability

Example Question #1 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Example Question #3 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Example Question #851 : Grade 7

All Common Core: 7th Grade Math Resources

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