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

A 1/5

B 3/10

C 2/9

D 1/3

✓ Correct Answer: Option D

The probability of drawing the first blue marble is 6/10. After one blue marble is drawn, there are 5 blue marbles left out of 9 total. The probability of drawing a second blue marble is 5/9. So, (6/10) * (5/9) = 30/90 = 1/3.

💡 Why is D) the correct answer?

The correct answer to the question "A bag contains 4 red marbles and 6 blue marbles. If two marbles are drawn at random without replacement, what is the probability that both marbles are blue?" is Option D: 1/3.

The other options — A) 1/5, B) 3/10, C) 2/9 — are incorrect for this GRE Exam Prep question. As explained above: The probability of drawing the first blue marble is 6/10. After one blue marble is drawn, there are 5 blue marbles left out of 9 total. The probability of drawing a second blue marble is 5/9. So, (6/…

📚 About This GRE Exam Prep Practice Question

This 2-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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

✓ Correct Answer: Option D

📚 About This GRE Exam Prep Practice Question

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