Question

An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If two consecutive marbles are drawn without replacement what is the probability that the first one will be green and the second one will be red?

Answer 1

⅑

Explanation:

Since 5/10 marbles are green, the probability that the first one will be green is 50% or 1/2. Since 2/9 will be red after the green one is drawn, the probability is 22.2%. Multiply the fractions together to get 2/18, or simplified, 1/9.