Question

A bag has 1 orange marble, 6 white marbles, and 7 yellow marbles.You randomly pull a marble from the bag, put it back, and then pull outanother one.What is the probability of not getting a yellow and then not getting aorange? Write your answer as a fraction.

Answer 1

orangle marbles = 1

white marbles = 6

yellow marbles = 7

Total marbles = 1 +6 + 7 = 14

Probability of not getting a yellow = orange+ white / total = 1 + 6 / 14 = 7/14 = 1/2

Probability of not getting a orange = white + yellow / total = 6 +7 /14 = 13/14

probability of not getting a yellow and then not getting a

orange = 1/2 * 13/14 = 13/28