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Chapter 7

# MATH 123 Chapter Notes - Chapter 7: Sample Space, Conditional Probability, Empirical Probability

by OC1682449

School

McGill UniversityDepartment

Mathematics and StatisticsCourse Code

MATH 123Professor

Sidney TrudeauChapter

7This

**preview**shows half of the first page. to view the full**2 pages of the document.**MATH 123 – Linear Algebra and Probability

Chapter 7: Sets and Probability

Sets

Sets are collections of objects.

We introduced the following set operations:

1. Complement (𝐴′ is the set of elements not in 𝐴);

2. Intersection (𝐴 ∩ 𝐵 is the set of elements belonging to both set 𝐴 and set 𝐵);

3. Union (𝐴 ∪ 𝐵 is the set of elements belonging to either set 𝐴 or set 𝐵 or both).

Applications of Venn Diagrams

Tree diagrams and Venn diagrams can define and study concepts in set operations as well as in

probability.

We introduced the following terms:

- Experiment (an activity or occurrence with an observable result);

- Trial (a repetition of an experiment);

- Outcome (a result of a trial);

- Sample space (the set of all possible outcomes for an experiment);

- Event (a subset of a sample space).

Introduction to Probability

It is possible to compute various probabilities using some of the properties of probability.

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