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A jar contains 4 red marbles and 6 blue marbles. If two marbles are drawn without replacement, what is the probability that both are red?

GRE · 2023 · quant slot 2
Question:
A jar contains 4 red marbles and 6 blue marbles. If two marbles are drawn without replacement, what is the probability that both are red?

Options

(A) 2/15
(B) 4/25
(C) 1/5
(D) 2/9
(E) 4/15
Answer: (A) 2/15

Explanation:
Probability first marble is red = 4/10. Probability second marble is red given first was red = 3/9 = 1/3. Combined probability = (4/10) × (3/9) = 12/90 = 2/15.

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