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Lecture 3

STAT 2230 Lecture 3: Probabilities

2 Pages
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Department
Statistics
Course Code
STAT 2230
Professor
Bill White

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Sample space: Set of all possible outcomes
Event: Outcome or set of outcomes. A subset of the sample space
Probability=Count of outcome/Count in sample space
Mutually exclusive? Can they happen at the same time? If yes,
then evaluate independence. If no, always dependent. Can use
addition rule
Independent? Does knowing one occurs change the likelihood of
the other occurring? If yes, then dependent and use conditional
probabilities. If no, then independent and can use multiplication
rule.
Mutually Exclusive/Disjoint events:
1)
ALWAYS dependent
Think non overlapping Venn diagram
For any event A, P(A does not occur)=1-P(A)
Non disjoint/ NOT mutually exclusive:
2)
Think Venn Diagram
Both events can occur at the same time
When A and B ARE independent variables
A)
Conditional Probability:
B)
When A and B are NOT independent
Probabilities
October 9, 2015
5:24 PM
Probabilities Page 1

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Description
Probabilities October 9, 20155:24 PM Sample space: Set of all possible outcomes Event: Outcome or set of outcomes. A subset of the sample space Probability=Count of outcomeCount in sample space Mutually exclusive? Can they happen at the same time? If yes, then evaluate independence. If no, always dependent. Can use addition rule Independent? Does knowing one occurs change the likelihood of the other occurring? If yes, then dependent and use conditional probabilities. If no, then independent and can use multiplication rule. Mutually ExclusiveDisjoint events: 1) they have no outcomes in
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