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?
\( \frac{1}{18} \)
\( \frac{5}{72} \)
\( \frac{1}{14} \)
\( \frac{3}{20} \)

Answer

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Answer

\(P(Red\; first\; and\; Yellow\; second) = \frac{6}{36} \times \frac{15}{35} = \frac{3}{20}\)

Steps

Step 1 ：\(P(Red\; first) = \frac{6}{36}\)

Step 2 ：\(P(Yellow\; second\; |\; Red\; first) = \frac{15}{35}\)

Step 3 ：\(P(Red\; first\; and\; Yellow\; second) = \frac{6}{36} \times \frac{15}{35} = \frac{3}{20}\)