Difference between revisions of "Some Probability Formulas"

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[[File:Condition_Probability_Notation.JPG]]
 
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This is read as "The probability of B given A."
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This is read as "The probability of B given A," and can be calculated as follows:
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[[File:Conditional_Probability_Formula.JPG]]
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''contributed by David Ciskowski''

Latest revision as of 10:40, 11 May 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," and can be calculated as follows:

Conditional Probability Formula.JPG

contributed by David Ciskowski