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Use a Venn diagram to shade in the region corresponding to the indicated set.a.) B ? A?. Use a Venn diagram to shade in the region corresponding to the indicated set.b.) B ? ? (A? ? C ?). Use a Venn diagram to shade in the region corresponding to the indicated set.c.) A ? (B ? C) ?. A
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1. Chapter 7Sets & Probability Section 7.2
Applications of Venn Diagrams
2. Use a Venn diagram to shade in the region corresponding to the indicated set.
a.) B ? A?
3. Use a Venn diagram to shade in the region corresponding to the indicated set.
b.) B ? ? (A? ? C ?)
4. Use a Venn diagram to shade in the region corresponding to the indicated set.
c.) A ? (B ? C) ?
5. A survey of 200 people yielded the following information: 94 owned a VCR, 127 owned a microwave oven, and 78 owned both. How many people owned the following?
a.) a VCR or a microwave oven
b.) a VCR but not a microwave
c.) a microwave oven but not a VCR
d.) neither a VCR nor a microwave oven
6. A survey of 200 people yielded the following information: 94 owned a VCR, 127 owned a microwave oven, and 78 owned both.
7. A survey of 200 people yielded the following information: 94 owned a VCR, 127 owned a microwave oven, and 78 owned both. How many people owned
8. The records of 1492 high school graduates were examined, and the following information was obtained: 1072 took biology, and 679 took geometry. If 271 of those who took geometry did not take biology, how many graduates took the following?
a.) both classes
b.) at least one of the classes
c.) biology but not geometry
d.) neither class
9. The records of 1492 high school graduates were examined, and the following information was obtained: 1072 took biology, and 679 took geometry. If 271 of those who took geometry did not take biology, how many graduates took the following?
10. The records of 1492 high school graduates were examined, and the following information was obtained: 1072 took biology, and 679 took geometry. If 271 of those who took geometry did not take biology, how many graduates took the following?
a.) both classes
b.) at least one of the classes
c.) biology but not geometry
d.) neither class
14. A kindergarten teacher wants to do an activity about common household pets. She begins the activity by asking her class the following questions and records the childrens answers.
How many of you have a dog?
How many of you have a cat?
How many of you have both?
How many of the children had a dog or a cat?
15. Union Rule for Sets (General Rule) n(A ? B) = n(A) + n(B) n(A ? B)
16. Union Rule for Disjoint Sets n(A ? B) = n(A) + n(B)
Note: Use this rule only when the two sets do
not have any elements in common.
To be on the safe side, you can always use the General Union Rule for Sets.