Difference between revisions of "Some Probability Formulas"

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(Some useful probability formulas)
(Some useful probability formulas)
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[[File:A_and_B_Venn_Diagram.JPG]]
 
[[File:A_and_B_Venn_Diagram.JPG]]
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'''Conditional Probability'''
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Sometimes we would like to know the probability of an event ''B''  occurring, given that another event ''A'' has already occurred. This in called conditional probability and we use the notation:
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[[File:Condition_Probability_Notation.JPG]]
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This is read as "The probability of B given A."

Revision as of 12:12, 11 February 2022

Some useful probability formulas

The Addition Rule

Consider 2 events, A and B. To find the probability that either A or B (or both) will occur, we can use the following formula, called the addition rule:

Addition Rule Formula.JPG

We subtract the probability of both A and B occurring, as to not "double count" them. This can seen better by looking at the following Venn Diagram:

A and B Venn Diagram.JPG

Conditional Probability

Sometimes we would like to know the probability of an event B occurring, given that another event A has already occurred. This in called conditional probability and we use the notation:

Condition Probability Notation.JPG

This is read as "The probability of B given A."