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Three Independent Events Probability Calculator — result sheet
Calculate the probability that three independent events all occur, at least one occurs, or none occurs.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: P(all)=pA pB pC; P(none)=(1−pA)(1−pB)(1−pC); P(at least one)=1−P(none).
The page keeps the independence assumption explicit while showing the most common combined-event questions for three entered probabilities.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Probability of A — minimum 0; maximum 1
- Probability of B — minimum 0; maximum 1
- Probability of C — minimum 0; maximum 1
Worked example
| Input | Value |
|---|---|
| Probability of A | 0.5 |
| Probability of B | 0.4 |
| Probability of C | 0.2 |
All three = 0.04; none = 0.24; at least one = 0.76.
Assumptions and limits
- The three events are treated as mutually independent for the combined-event results.
- Each input is a probability between zero and one.
- Dependence, mutually exclusive events, and conditional probabilities require a different model.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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