In a Survey of the Dining Preferences of 54 Dormitory

question 62

Multiple Choice

In a survey of the dining preferences of 54 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. ​
24 liked AL but not PT
20 liked AL only
37 liked AL
24 liked PT
22 liked DH
9 liked PT and AL but not DH
12 liked PT and DH
​
How many liked only DH?
​

• A)10
• B)6
• C)74
• D)18
• E)22

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Definitions:

P(A Or B)

The probability that either event A or event B occurs or both events occur together, a fundamental concept in probability theory.

College Professorship

A faculty position at a college or university, typically involving teaching, research, and administrative responsibilities.

Probability

A measure of the likelihood that an event will occur, expressed as a number between 0 (impossibility) and 1 (certainty).

College Professorship

A senior academic position in a college or university, involving teaching, research, and possibly administrative responsibilities.