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Joint Probability Calculator — result sheet
Calculate independent and conditional joint probabilities from event A and event B inputs.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Independent joint P(A∩B)=P(A)P(B); conditional joint P(A∩B)=P(A)P(B|A).
Showing both products makes the independence assumption visible instead of silently treating every pair of events as independent.
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 B given A — minimum 0; maximum 1
Worked example
| Input | Value |
|---|---|
| Probability of A | 0.4 |
| Probability of B | 0.5 |
| Probability of B given A | 0.6 |
Independent joint probability = 0.20; conditional joint probability = 0.24.
Assumptions and limits
- Inputs are probabilities on the same event definitions.
- The independent result is a scenario, not a conclusion that the events are independent.
- Dependence, sampling design, and estimated-probability uncertainty are not modeled.
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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