[QUESTION] Probability

Question

A bag contains 10 marbles: 5 are green, 2 are red, and 3 are blue. Ashley 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. 

Answer 1

The probability first marble is red is:

2/10

Now there are 9 marbles left so probability second marble is blue is:

3/9

2/10 * 3/9 = 6/90 which simplifies to 1/15.