Classical probability

P(A)=∣A∣∣Ω∣P(A)=\dfrac{|A|}{|\Omega|}

Result unit: — (liczba z $\langle 0,1\rangle$)

What it describes

The classical definition — the ratio of the number of favorable outcomes to all (equally likely) outcomes.

Symbols

P(A)P(A)
probability of the event
∣A∣|A|
number of favorable outcomes
∣Ω∣|\Omega|
number of all outcomes

Where it comes from

When all outcomes are equally likely, the probability is the ratio of the number of favorable outcomes to all outcomes. Always between 0 and 1.

When to use it

Dice, coins, draws — models with equally likely outcomes.

Example

A die roll — the probability of rolling an even number.
Substitution∣A∣=3|A|=3 (2,4,6), ∣Ω∣=6|\Omega|=6.
ResultP=36=12P=\dfrac{3}{6}=\tfrac12.

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