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

## Example Questions

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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?

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

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

### 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?

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

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

### 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 another red marble on his second try?

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

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

### Example Question #4 : 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 yellow marble, then what is the probability that he will draw another yellow marble on his second try?

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

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

### Example Question #5 : 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?

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

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

### Example Question #6 : 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?

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

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

### Example Question #7 : 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 red marble, then what is the probability that he will draw a blue marble on his second try?

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

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

### Example Question #8 : 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 yellow marble, then what is the probability that he will draw a purple marble on his second try?

Explanation:

Dan starts out with  marbles, and  of the marbles is purple. This means that the probability of Dan drawing a purple marble from the bag on his first attempt is

Now that Dan has taken a yellow marble from the bag, we still have  purple marble left, but only a total of  marbles left in the bag; thus, the probability of Dan drawing a purple marble on his second attempt is

### Example Question #9 : 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 as orange marble, then what is the probability that he will draw a red marble on his second try?

Explanation:

Dan starts out with  marbles, and  of the marbles are red. This means that the probability of Dan drawing a red marble from the bag on his first attempt is

Now that Dan has taken an orange 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

### Example Question #10 : 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 an orange marble, then what is the probability that he will draw another orange marble on his second try?