Question

A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Lisa chooses a marble at random, and without putting it back, chooses another one at

random. What is the probability that the first marble is blue and the second is green? Write your answer as a fraction in simplest form.

Answer 1

(5/9) * (1/4) = 5/36.

Explanation:

For the first marble chosen, the probability that the marble is green is 5/9.

After the first choice, since she didn't put it back, there are 8 marbles left, of which 2 are red. So the probability of the second one being red is 2/8 = 1/4.

Since the question is asking the probability of BOTH events happening, you multiply the two probabilities.

Hope this helps.