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Probability Calculator

Calculate probabilities for various scenarios including basic probability, conditional probability, and independent events

Probability Type

Results

Select a probability type and enter values to calculate

Probability Formulas & Concepts

Basic Probability

Basic Probability: P(A) = favorable/total
Probability of a single event
Complement: P(A') = 1 - P(A)
Probability of event not occurring
Union: P(A∪B) = P(A) + P(B) - P(A∩B)
Probability of A or B occurring

Conditional Probability

Conditional: P(A|B) = P(A∩B)/P(B)
Probability of A given B occurred
Independent: P(A∩B) = P(A) × P(B)
Events that don't affect each other
Dependent: P(A∩B) = P(A) × P(B|A)
Events that affect each other

Advanced Distributions

Binomial: P(X=k) = C(n,k) × p^k × (1-p)^(n-k)
Probability of k successes in n trials
Geometric: P(X=k) = p × (1-p)^(k-1)
Probability of first success on kth trial
Normal: Z = (X-μ)/σ
Standard normal distribution

Quick Probability Examples