A gumball machine contains orange, yellow and purple gumballs. The probability of getting an orange ball is 3/4 and the probability of getting yellow ball is1/6. What is the probability of getting a purple ball?

First of all,the question is faux, it doesn't even have enough info to solve the problem!

A gumball machine contained five different flavours of gum (cherry, banana, orange, pineapple and licorice). A gatcha machine contained bouncy balls (blue, pink, yellow, green and purple). What is P(not cherry and not banana, blue)?

1/12

1/12

To find the probability of getting a purple ball, we need to determine the probability of all possible outcomes and then subtract the sum of probabilities of the other two outcomes (orange and yellow) from 1.

Given:
Probability of getting an orange ball = 3/4
Probability of getting a yellow ball = 1/6

Let's calculate the probability of getting a purple ball step by step:

Step 1: Calculate the probability of getting an orange or yellow ball:
Probability of getting an orange ball = 3/4
Probability of getting a yellow ball = 1/6

By adding these probabilities, we get:
3/4 + 1/6 = 18/24 + 4/24 = 22/24

Step 2: Subtract the probability obtained in Step 1 from 1 to find the probability of getting a purple ball:
1 - 22/24 = 24/24 - 22/24 = 2/24

Simplifying the fraction, we get:
2/24 = 1/12

Therefore, the probability of getting a purple ball is 1/12.