Compound Probability
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A bag contains 8 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?
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Answer

Final Answer: $\frac{1}{26}$

Steps

Step 1 ：Calculate the total number of marbles in the bag: $8 + 3 + 2 = 13$

Step 2 ：Calculate the probability of drawing the first blue marble: $\frac{3}{13}$

Step 3 ：Calculate the probability of drawing the second blue marble, given that the first one was already drawn: $\frac{2}{12}$

Step 4 ：Calculate the compound probability of drawing two blue marbles: $\frac{3}{13} \times \frac{2}{12}$

Step 5 ：Simplify the compound probability: $\frac{3}{13} \times \frac{1}{6} = \frac{1}{26}$

Step 6 ：Final Answer: $\frac{1}{26}$