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Addition Rule of Probability Calculator

Online addition rule: P(A∪B)=P(A)+P(B)−P(AB).

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P(A∪B)=P(A)+P(B)−P(AB)
P
Overlap

📖 Tutorial | Addition Rule

1. Definition
The union has P(A∪B)=P(A)+P(B)−P(AB); for disjoint events P(AB)=0.
2. Formula & Notation
Union, intersection∪, AB
3. Properties & Laws
  • Subtract overlap to avoid double count;
  • Disjoint P(AB)=0;
  • Complement sums to 1;
  • Result ≤1.
4. Steps
  1. Enter three probabilities;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: 0.6+0.5−0.3: 0.8.
6. Common Pitfalls
Subtract overlap;
Only add directly when disjoint;
Probability ≤1.

❓ FAQ | Addition Rule

Formula?
Subtract overlap.
Disjoint?
P(AB)=0.
Complement?
Sum 1.
≤1?
Yes.
Example?
0.8.
Three events?
Alternate.