Question

A bag contains 6 red marbles and 4 yellow marbles. One marble is drawn at random and not replaced. Then a second marble is drawn. What is the probability that the first marble is yellow and the second one is red?

Answer 1

2/15

Explanation:

6 red marbles and 4 yellow marbles = 10 marbles

P ( 1st is yellow) = yellow marbles / total marbles

= 4/10 = 2/5

The marble is not replaced

6 red marbles and 3 yellow marbles = 9 marbles

P ( 2nd is red) = red marbles / total marbles

= 3/9 = 1/3

P ( yellow, red) = 2/5 * 1/3 = 2/15