Question

A box contains 5 red marbles, 8 green marbles, 4 blue marbles, and 3 yellow marbles. if 2 marbles are randomly selected without replacement, what is the probability that a red marble is selected and then a green marble is selected?

Answer 1

The Total number of Marbles contained in the Box is as follows: 5 (Red) + 8 (green) + 4 (blue) + 3(yellow) = 20 Marbles The Probability of selecting the first Marble (Red) is 5/20 Then 19 Marbles will be left. The probability of selecting the second Marble green is 8/19 Since the first marble was not replaced then the probability of selecting a red marble and then a green marble is = 5/20 * 8/19 = 2/19.