Difference between revisions of "Probability Review I"
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(Created page with "== Notions of Probability == Let us look at two notions of the ''probability'' of an event happening: === The Frequentist Version === === Observer Relative Probability ===...") |
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=== The Frequentist Version === | === The Frequentist Version === | ||
| + | Given <math>N</math> distinct possible events, <math>\left(x_1, x_2, \ldots, x_N\right)</math>, with the following assumptions: | ||
| + | * No two events can occur simultaneously, and | ||
| + | * The events occur with frequencies <math>\left(n_1, n_2, \ldots, n_N\right)</math>, | ||
| + | Then the probability of an event <math>x_i</math> is given by: | ||
| + | |||
| + | {{NumBlk|::|<math>P\left(x_i\right)=\frac{n_i}{\sum_{j=1}{N} n_j}</math>|{{EquationRef|1}}}} | ||
=== Observer Relative Probability === | === Observer Relative Probability === | ||
Revision as of 13:22, 9 September 2020
Contents
Notions of Probability
Let us look at two notions of the probability of an event happening:
The Frequentist Version
Given distinct possible events, , with the following assumptions:
- No two events can occur simultaneously, and
- The events occur with frequencies ,
Then the probability of an event is given by:
-
(1)
-
