Question

The QUESTION: How many people ordered quesadillas and chili con queso but did not order nachos?. How many people ordered just nachos? If a person is chosen at random, what is the probability that they ordered chili con queso?context: Diagram photo attached 104 people seated at different tables in a Mexican restaurant were asked if their party had ordered any ofthe following items: nachos, chili con queso, or quesadillas. The following is what was found:11 people had ordered all three of these items.41 people had ordered quesadillas.50 people had ordered nachos40 people had ordered chili con queso.13 people had ordered nachos and quesadillas.26 people had ordered nachos and chili con queso.20 people had ordered quesadillas and chili con queso.

Answer 1

The numbers in the diagram are correct because they satisfy all the conditions given in the text.

Then, we can easily identify that 9 people ordered quesadillas and chili con queso but not ordered nachos.

On the other hand, 22 people ordered just nachos.

To find the probability that a person chosen at random ordered chili con queso, divide the total amount of people that ordered chili con queso over the total number of people in the sample.

Since 40 people ordered chili con queso and there are 104 people seated in the restaurant, then the probability that a person chosen at random ordered chili con queso is:

`(40)/(104)=(5)/(13)=0.3846\ldots\approx38.5\text{ \%}`