  ### Home > MC2 > Chapter 7 > Lesson 7.1.5 > Problem7-48

7-48.

There are $36$ green gumballs, $18$ red gumballs, $22$ white gumballs, $30$ purple gumballs, and $14$ blue gumballs in the gumball machine. Find the probability for each of the following outcomes and write it as a percent. Assume that the gumball machine is always full and that gumballs are released from the machine randomly. Show work to support your answer.

1. Getting a purple gumball.

The probability of getting a purple gumball is the number or purple gumballs divided by the total number of gumballs.

$\frac{30}{120} = 25$

2. Getting either a purple or a green gumball.

The probability of getting either a purple or a green gumball is the sum of the probability of getting a purple gumball and the probability of getting a green gumball.

$\text{P(purple) + P(green)} = \frac{30}{120} + \frac{36}{120} = \frac{66}{120} = 55$

3. Not getting a green gumball.

What is the probability of getting a green gumball?

Since you can either get a green gumball or not get a green gumball, the probability of not getting a green gumball is $1$ (or $100\%$) minus the probability of getting a green gumball.

4. Getting either a purple or a white gumball.

What is the probability of getting a purple gumball?
A white gumball?

See (b).