Question

My golf bag has 4 Nike balls and 3 Titleist balls. I am going to pick 3 to carry in my pocket on my round of golf. What is the probability that I get 2 Nike and 1 Titleist?

Answer 1

Solution:

We are given that: a golf bag has 4 Nike balls and 3 Titleist balls. Thus total balls = 4+3=7 balls

3 balls are picked to carry in pocket on round of golf.

We have to find the probability of getting 2 Nike and 1 Titleist.

P( 2 Nike and 1 Titleist) = .........?

2 Nike balls can be selected from 4 Nike balls in 4C2 ways

1 Titleist ball can be selected from 3 Titleist balls in 3C1 ways.

and any three balls can be selected from total 7 balls in 7C3 ways

Thus

Use combination formula:

and

Thus

Thus the probability that I get 2 Nike and 1 Titleist is 0.5143