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Ksivusya [100]
3 years ago
14

Sebastian has a bag of 15 blue marbles, 18 red marbles, and 12 yellow marbles. He reaches into the bag three times and pulls out

2 red marbles and a blue marble. What is the probability that he reaches into the bag and pulls out a yellow marble next? A. 1/4 B. 8/21 C. 2/7 D. 5/14
Mathematics
1 answer:
Dovator [93]3 years ago
4 0
<h3>Answer: C) 2/7</h3>

===================================================

Explanation:

Initially there are 15+18+12 = 45 marbles total. He selects 3 marbles (2 reds, 1 blue).

Assuming he doesn't put the three marbles back, this means there are now 45-3 = 42 marbles overall. The yellow count hasn't changed since the first three marbles do not involve yellow. We have 12 yellow out of 42 which leads to the fraction 12/42 to represent the probability of getting yellow.

Reduce 12/42 to get 2/7. You divide both parts by the GCF 6.

-------

Side note: if he did put the marbles back, then the probability of getting yellow would be 12/45 = 4/15

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