Solve the following problems. 1. A class adviser surveys 35 of his students on the kind of pets they have at home. He found that 15 have dogs, 12 have cats, and 8 have birds. Five have dogs and cats, 4 have dogs and birds, and 2 have cats and birds. If no one has all three kinds of pets, how many students have none of these pets? Draw a Venn diagram. 2. There are 12 chips numbered from 11 to 22 in a bag. A chip is drawn at random from the bag. Let A be the event that the number is smaller than 16, B be the event that a number is a composite number. Find A ∩ B. Draw a Venn diagram.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve the following problems. 1. A class adviser surveys 35 of his students on the kind of pets they have at home. He found that 15 have dogs, 12 have cats, and 8 have birds. Five have dogs and cats, 4 have dogs and birds, and 2 have cats and birds. If no one has all three kinds of pets, how many students have none of these pets? Draw a Venn diagram. 2. There are 12 chips numbered from 11 to 22 in a bag. A chip is drawn at random from the bag. Let A be the event that the number is smaller than 16, B be the event that a number is a composite number. Find A ∩ B. Draw a Venn diagram.
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