Probability Calculator
Formulas
- Complement: P(A') = 1 - P(A)
- Intersection: P(A∩B) = P(A) × P(B)
- Union: P(A∪B) = P(A) + P(B) - P(A) × P(B)
- Symmetric Difference: P(AΔB) = P(A) + P(B) - 2 × P(A) × P(B)
- Neither: P((A∪B)') = 1 - P(A∪B)
Instructions
- Enter any two known probabilities for two independent events.
- The calculator will solve for all other probabilities if possible.
- If the input is insufficient or inconsistent, an error will be shown.
Instructions
- Enter the probability and repeat times for each independent event.
- Click + to add more events, - to remove.
- The result is the product of all probabilities raised to their repeat times.
Formula: P = p₁ⁿ¹ × p₂ⁿ² × ... × pₖⁿᵏ
Instructions
- Enter the mean (μ), standard deviation (σ), and the left/right bounds.
- Use -inf for negative infinity, inf for positive infinity.
- The result is the probability that a value falls within the interval [Lb, Rb].
Formula: P = P(Lb ≤ X ≤ Rb) = Φ((Rb-μ)/σ) - Φ((Lb-μ)/σ)