Ven Diagrams

HOMEWORK EXERCISES 1. A number of deer were surveyed about activities that they enjoy. The results are summarized in the Venn diagram below.

How many… A. …enjoy running or staring into headlights?B. …enjoy nibbling and running? C. …enjoy exactly one of these activities? D. …enjoy staring into headlights but not running? E. …enjoy nibbling? 2. A survey of 50 Yugo drivers revealed thefollowing: three drive Yugos because of the comfort; four drive Yugos because of the reliability; one drives a Yugo for both of these reasons. A. How many drive Yugos for neither of these reasons? B. How manydrive Yugos because of the comfort but not because of the reliability?

3. 110 dogs were asked “Why do you like to eat garbage?” 89 said “It tastes great!” 87 said “It’s more filling!” 68 said “Ittastes great!” and “It’s more filling!” A. How many said “It’s more filling!” but didn’t say “It tastes great!”? B. How many said neither of those things?

4. A number of whales were asked aboutthings that they dislike. 19 dislike giant squids 6 dislike giant squids and pollution and Captain Ahab 24 dislike Captain Ahab 4 dislike pollution but don’t s dislike giant squids and don’t dislikeCaptain Ahab 11 dislike Captain Ahab and giant squids 3 dislike pollution and Captain Ahab but don’t dislike giant squids 20 dislike pollution 5 have no dislikes A. How many whales were surveyed? B. Howmany dislike at least one of those three things? C. How many dislike Captain Ahab but don’t dislike giant squids? D. How many dislike giant squids or pollution? 5. A number of classicists were asked toidentify their favorite epic poets. The results are summarized below. 62 appreciate Homer 40 appreciate Virgil 5 appreciate Gomer 2 appreciate Homer and Virgil and Gomer 3 appreciate Virgil and Gomer20 appreciate Homer and Virgil 42 appreciate Homer and neither of the other two 12 appreciate none of these three epic poets A. How many were surveyed? B. How many don’t appreciate Gomer? C. How...