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STAT 1010 - Fall 2022

By the end of this lesson you should:

Understand probability and its axioms

Know and understand words like union, intersection, and compliment

Be able to calculate basic probabilities

- Gives you an edge in games of chance
- Cardano, Fermat, Pascal, Kolmogorov
- casinos rely on probability theory for profits

Use this link, or the qr code below

- An
*experiment*is a process that produces an*observation*. - An
*outcome*is a possible observation. - The set of all possible outcomes is called the
*sample space*. - An
*event*is a subset of the sample space. - A
*trial*is a single running of an experiment. - Events are
*disjoint*or*mutually exclusiv*e if they have no outcomes in common.

Roll a fair, 6-sided and observe the number of pips that appear on top.

- What is one
*outcome*of a*trial*? - What is the
*sample space*? - What are possible
*events*? - What are some
*disjoint*events? - What are the
*probabilities*of the events above?

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- The probability of the
*sample space*(\(S\)) is 1 (ie \(P(S) = 1\)) - A probability \(p\) is always between \(0\) and \(1\) (ie \(0 \leq p \leq 1\))
- If two events \(A\) and \(B\) are
*disjoint*, then \(P(A \cup B) = P(A) + P(B)\)

Click here or the qr code below