Question

A bag has four green marbles, three red marbles, and three yellow marbles. What is the probability that you pick a red marble, do not replace it, and pick a yellow marble?

2/15 1/15 1/9 1/10

Answer 1

The probability is 1/9

Answer 2

1/10

Explanation:

four green marbles, three red marbles, and three yellow marbles

Original total number of marbles: 4 + 3 + 3 = 10

First pick

Picking a red marble. There are 3 red marbles.

p(red) = 3/10

Second pick

Since the red marble picked is not replaced, now the total is 9 marbles.

Picking a yellow marble. There are 3 yellow marbles.

p(yellow) = 3/9 = 1/3

The probability of both events is the product of the individual probabilities.

p(red then yellow) = 3/10 * 1/3 = 1/10