Q:

20 PTS PLUS BRAINLIESTPeter is giving marbles to some children at a carnival. He has 5 red marbles, 4 blue marbles, and 3 yellow marbles. If Peter selects a marble randomly without looking, what is the probability that he will give a blue marble to the first child and then a yellow marble to the second child?A. 4 over 12 plus 3 over 12 is equal to 7 over 12B. 4 over 12 plus 3 over 11 is equal to 80 over 132C. 4 over 12 multiplied by 3 over 12 is equal to 12 over 144D. 4 over 12 multiplied by 3 over 11 is equal to 12 over 132

Accepted Solution

A:
Hi there!

We know that there are 12 total marbles - that will be our denominator. Next, we know that there are 4 blue marbles - that will be the numerator of our first fraction - 4/12. Then, since one marble was taken out, there are now 11 marbles - that will be the denominator of our second fraction. Next, we know that there are 3 yellow marbles - that will be the numerator of our first fraction - 3/11. Lastly, all we need to do is multiply 4/12 x 3/11 = 12/132. The correct answer choice is D.

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