5. A group of 62 students were surveyed, and it was found that each of the students surveyed liked at least one of the folowing three fruits: apricots, bananas, and cantaloupes. 34 liked apricots. 30 liked bananas. 33 liked cantaloupes. 11 liked both apricots and bananas. 15 liked both bananas and cantaloupes. 17 liked both apricots and cantaloupes. 19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes. Find the following: f. How many students liked all of the following three fruits: apricots, bananas, and cantaloupes? g. How many students liked apricots and cantaloupes, but not bananas?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
5. A group of 62 students were surveyed, and it was found that each of the students
surveyed liked at least one of the folowing three fruits: apricots, bananas, and
cantaloupes.
34 liked apricots.
30 liked bananas.
33 liked cantaloupes.
11 liked both apricots and bananas,
15 liked both bananas and cantaloupes.
17 liked both apricots and cantaloupes.
19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes.
Find the following:
f. How many students liked all of the following three fruits: apricots, bananas, and
cantaloupes?
g. How many students liked apricots and cantaloupes, but not bananas?
Transcribed Image Text:5. A group of 62 students were surveyed, and it was found that each of the students surveyed liked at least one of the folowing three fruits: apricots, bananas, and cantaloupes. 34 liked apricots. 30 liked bananas. 33 liked cantaloupes. 11 liked both apricots and bananas, 15 liked both bananas and cantaloupes. 17 liked both apricots and cantaloupes. 19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes. Find the following: f. How many students liked all of the following three fruits: apricots, bananas, and cantaloupes? g. How many students liked apricots and cantaloupes, but not bananas?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Research Ethics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON