math

Probability

A measure of how likely an event is to occur, expressed as a number between 0 (impossible) and 1 (certain).

Probability quantifies uncertainty. P(Event) = Number of favorable outcomes / Total possible outcomes.

Key Concepts

  • Independent events: P(A and B) = P(A) Γ— P(B)
  • Mutually exclusive: P(A or B) = P(A) + P(B)
  • Conditional: P(A|B) = P(A and B) / P(B)
  • Complement: P(not A) = 1 βˆ’ P(A)

Permutations vs. Combinations

Permutations (order matters): nPr = n! / (nβˆ’r)!
Combinations (order doesn't matter): nCr = n! / [r!(nβˆ’r)!]

Related Calculators

Related Terms