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Common Core: 7th Grade Math : Understand Fraction of Outcomes: CCSS.Math.Content.7.SP.C.8a

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Example Questions

Example Question #863 : Grade 7

Dan has a bag of $\displaystyle 17$ marbles: $\displaystyle 5$ red marbles, $\displaystyle 2$, yellow marbles, and $\displaystyle 7$ blue marbles, $\displaystyle 1$ purple marble, and $\displaystyle 2$ orange. 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:

$\frac{7}{17}$ $\displaystyle \frac{7}{17}$

$\frac{7}{16}$ $\displaystyle \frac{7}{16}$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

$\frac{6}{17}$ $\displaystyle \frac{6}{17}$

Correct answer:

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

Explanation:

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

Now that Dan has taken a blue marble from the bag, we have $\displaystyle 6$ blue marbles left, and a total of $\displaystyle 16$ marbles left in the bag; thus, the probability of Dan drawing a blue marble on his second attempt is $\frac{6}{16}=\frac{3}{8}$ $\displaystyle \frac{6}{16}=\frac{3}{8}$

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Example Question #864 : Grade 7

Dan has a bag of $\displaystyle 17$ marbles: $\displaystyle 5$ red marbles, $\displaystyle 2$, yellow marbles, and $\displaystyle 7$ blue marbles, $\displaystyle 1$ purple marble, and $\displaystyle 2$ orange. 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:

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\frac{5}{16}$ $\displaystyle \frac{5}{16}$

$\frac{4}{17}$ $\displaystyle \frac{4}{17}$

Correct answer:

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

Explanation:

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

Now that Dan has taken a red marble from the bag, we have $\displaystyle 4$ red marbles left, and a total of $\displaystyle 16$ marbles left in the bag; thus, the probability of Dan drawing a red marble on his second attempt is $\frac{4}{16}=\frac{1}{4}$ $\displaystyle \frac{4}{16}=\frac{1}{4}$

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Common Core: 7th Grade Math : Understand Fraction of Outcomes: CCSS.Math.Content.7.SP.C.8a

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #863 : Grade 7

Example Question #864 : Grade 7

All Common Core: 7th Grade Math Resources

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