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Probability Formulas & Calculators

Understand probability formulas with explanations, examples and interactive tools.

Probability

Classical Probability

\(P(E)=\frac{\text{favourable outcomes}}{\text{equally likely outcomes}}\)

Valid for equally likely outcomes.

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Probability

Complement Rule

\(P(A^c)=1-P(A)\)

Probability that A does not occur.

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Probability

Addition Rule

\(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

Probability of A or B.

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Probability

Conditional Probability

\(P(A|B)=\frac{P(A\cap B)}{P(B)}\)

When P(B)>0.

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Probability

Bayes Theorem

\(P(A|B)=\frac{P(B|A)P(A)}{P(B)}\)

Bayes theorem requires P(B)>0.

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