A bag 6

A bag contains 3 red marbles, 8 blue marbles, and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?

Correct answer:

p =  0.233

Step-by-step explanation:

$$\begin{gathered} r=3 \\ b=8 \\ g=5 \\ p=\frac{b}{r+g+b}\cdot \frac{b-1}{r+g+b-1} \\ p=\frac{8}{3+8+5}\cdot \frac{8-1}{3+8+5-1} \\ p=\frac{8}{16}\cdot \frac{7}{15}=\frac{8\cdot 7}{16\cdot 15}=\frac{56}{240}=\frac{7}{30}=0.233 \end{gathered}$$

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