Define: Intersection of two sets (A n B) Example: 4. Given the following sets, find An B A - (1,3,5,7,9,11,13,15) B = (0,3,6,9,12,1 Define: Union of wo sets (A u B) Example:
Define: Intersection of two sets (A n B) Example: 4. Given the following sets, find An B A - (1,3,5,7,9,11,13,15) B = (0,3,6,9,12,1 Define: Union of wo sets (A u B) Example:
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...
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Transcribed Image Text:Name:
Period:
Sample Spaces and Subsets
Students will be able to (SWBAT) describe events as subsets of sample space (the set of
outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or
complements of other events. (S-CP.1)
Define: Sample
Space
Example: List the sample space, S, for each of the following:
1. Tossing a coin:
2. Rolling a six-sided die:
3. Drawing a marble from a bag that contains two red, three blue, and one white marble:
Define:
Intersection of two
sets (A n B)
Example:
4. Given the following sets, find An B
A = (1,3,5,7,9,11,13,15)
B = {0,3,6,9,12,15}
Define: Union of
two sets (A u B)
Example:
5. Given the following sets, find A u B
A = {1,3,5,7,9,11,13,15}
AU B=E0,13 ... 153
B = (0,3,6,9,12,15}
Define: Venn
Diagram
Example: Use the Venn Diagram to answer the following questions
6. What are the elements of set A?
Factors of 12
Factors of 18
7. What are the elements of set B?
8. Why are 1, 2, and 4 in both sets?
9. What is A n B?
10. What is A u B?
Transcribed Image Text:Tvample: In a class of 60 students, 21 sign up for chorus, 29 sign up for band, and 5 take both, 15
students in the class are not enrolled in either band or chorus
11. Put this information into a Venn Diagram.
Set A:Chorus
Set B:Band
12. What is Au B?
13. What is An B?
Define:
Complement of a
Set ( AC)
Example: S = {..,-3,-2,-1,0,1,2,3,4,...} and A = {...,-2,0,2,4,...}
14. If A is a subset of S, what is AC?
Example: Use the Venn Diagram above (Chorus vs. Band) to find the following:
15. What is AC?
16. BC?
17. What is (An B)C?
18. What is (A U B)C?
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