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Independent Events Calculator

Online independence check: compare P(AB) with P(A)P(B).

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Independent ⇔ P(AB)=P(A)P(B)
P
Actual joint

📖 Tutorial | Independent

1. Definition
A and B are independent ⇔ P(AB)=P(A)P(B); distinct from disjoint.
2. Formula & Notation
IndependentNo influence
3. Properties & Laws
  • Equal products;
  • Independent ≠ disjoint (disjoint P(AB)=0);
  • Multiple events pairwise;
  • Basis for repeated trials.
4. Steps
  1. Enter three probabilities;
  2. Click "Check";
  3. Or click "Load Example".
5. Worked Examples
Example: 0.5,0.5,0.25: independent.
6. Common Pitfalls
Do not confuse with disjoint;
Use the product;
Positive-probability disjoint events cannot be independent.

❓ FAQ | Independent

Check?
Product.
Vs disjoint?
P(AB)=0.
Multiple?
Pairwise.
Use?
Trials.
Example?
Independent.
Conditional?
P(B|A)=P(B).