A bag contains 9 marbles: 2 are green, 3 are red, and 4 are blue. Melissa chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.

Question

Mathematics

Regina Drake

2 August, 22:39

A bag contains 9 marbles: 2 are green, 3 are red, and 4 are blue. Melissa chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.

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Answers (1)

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Leon Callahan · Answer 1

Answer: 1/6

Step-by-step explanation: There are 9 marbles in total. There are 3 red marbles out of 9, and the fraction is 3/9, simplified to 1/3. Since the marble is not being replaced, there are now 8 marbles. 4 of the 8 marbles are blue. The fraction is 4/8, simplified to 1/2. Multiply the fractions.

1/3 x 1/2 = 1/6

There's a 1/6 chance.