Question

A bucket contains 15 white, 8 pink, 3 yellow, and 10 black golf balls. What is the probability of selecting a yellow ball, keeping it, then selecting a white ball? Write your answer as a fraction in simplest form.

Answer 1

5/144

Explanation:

Step one:

given data

sample space

15 white,

8 pink,

3 yellow, and

10 black golf balls

Sample size= 15+8+3+10= 36 golf balls

Step two:

1. first event

selecting a yellow ball= 3/36= 1/12

2. second event with a replacement on the first event

selecting a white ball= 15/36= 5/12

hence for the two events, the probability is

1/12*5/12

= 5/144