Given The Venn diagram represents the number of people who ordered quesadillas, chili, and nachos.
We will find the following:
1) How many people ordered quesadillas and chili con queso but did not order nachos?
As shown, we will find the intersection between quesadillas and chili con queso
So, the answer will be: 9 people
2) How many people ordered just nachos?
So, the answer will be: 22 people
3) If a person is chosen at random, what is the probability that they ordered chili con queso?
The number of people who ordered chili con queso = 5
The total number of people = 5 + 15 + 22 + 9 + 11 + 2 + 19 + 21 = 104
So, the probability will be = 5/104 = 0.048
4) If a person is chosen at random, what is the probability that they did not order any of these items?
The number of people who did not make order = 21
So, the probability will be = 21/104 = 0.20
5) Given that a person ordered nachos, what is the probability that they also ordered quesadillas?
The number of people who ordered nachos and quesadillas = 2 + 11 = 13
So, the probability will be = 13/104 = 0.125
6) Given that a person ordered quesadillas and chili con queso, what is the probability that they also ordered nachos?
The number of people who ordered the 3 kinds = 11
So, the probability = 11/104 = 0.106
7) If a person is chosen at random, what is the probability that they ordered at least 2 of the items?
The number of people who ordered 2 items only = 2 + 15 + 9 = 26
So, the probability will be = 26/104 = 0.25