Kendra has a bowl containing 10 blue marbles, 15 yellow marbles, 5 green marbles, and 6 red marbles of the same size. She will randomly pull out a marble, keep it outside the bowl, and then pull out another marble. What is the probability she will draw a red marble and then a yellow marble? A. 1/8 / B. 5/72 / C. 1/14 / D. 3/20

Question

Mathematics

Javier Hess

15 December, 02:29

Kendra has a bowl containing 10 blue marbles, 15 yellow marbles, 5 green marbles, and 6 red marbles of the same size. She will randomly pull out a marble, keep it outside the bowl, and then pull out another marble. What is the probability she will draw a red marble and then a yellow marble? A. 1/8 / B. 5/72 / C. 1/14 / D. 3/20

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Answers (1)

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Bryanna Ray · Answer 1

To get the answer to the question above, add up first all the marbles to get the total number of marbles which becomes our sample size. The addition gives 36.

For the first case wherein Kendra drew red marble, the probability is 6/36 or 1/6 since there are 6 red balls. Now for the second case, the probability of picking a yellow marble out of the 35 marbles left is 15/35 or 3/7 since there are 15 yellow marbles.

To get the final probability, multiply the two probabilities calculated.

(1/6) x (3/7) = 1/14

Thus, the answer is letter C. 1/14