Question

Bill's golf bag contains 9 white golf balls, 6 yellow golf balls, 1 orange golf ball, and 1 pink golf ball. Without looking, Tim is going to take 1 golf ball out of his bag to tee off with and a different golf ball out to putt with. What is the probability of Tim teeing off with a white ball and putting with an orange ball? P(white, then orange) Are the events above independent or dependent events?

Answer 1

The correct answer is 0.0330 and the events are independent.

Explanation:

Total number of balls in Bill's golf bag = 17

Let A be the event of drawing a white ball and B be the event of drawing an orange ball.

Number of white balls Bill has in his bag is 9.

Probability of the event A in the first draw =
`(9)/(17)`

Number of orange ball in Bill's bag is 1.

Probability of event B in the second draw =
`(1)/(16)`

Thus total probability for Tim to tee off with a white ball and putt with an orange ball =
`(9)/(272)` = 0.0330

The above events are independent on each other.