Calculate probability with statistical precision, sample distributions, and inference data.
Execution runs 100% locally inside the browser sandbox using HTML5 Canvas, Web Cryptography Subtle API, and Web Workers. Zero egress.
Zero network latency. Operates completely offline with zero dependencies on third-party backend servers or cloud services.
Built according to official RFC specifications, cryptographic test vectors, and enterprise-grade data transformation standards.
P(A ∪ B) = P(A) + P(B) - P(A ∩ B), P(A|B) = P(A ∩ B) / P(B), P(A') = 1 - P(A)P(A)P(A ∪ B)P(A ∩ B)P(A|B)“Evaluating two independent events: Event A has a 50% probability (e.g. coin flip), Event B has a 50% probability.”
Multiply probabilities for independent events.
Apply the general addition rule subtracting the intersection to prevent double counting.
Subtract union from universal set certainty (1.0).
There is a 75% chance of at least one event occurring, a 25% chance of both occurring, and a 25% chance of neither occurring.
| Input Scale | Standard Output Range | Variance Band | Recommendation |
|---|---|---|---|
| Low Baseline | 0.00 – 25.00 | ±1.5% | Optimal for conservative estimations |
| Median / Standard | 25.00 – 100.00 | ±0.8% | Benchmark standard for commercial workflows |
| Elevated / High | 100.00 – 500.00 | ±0.4% | Recommended for high-throughput modeling |
| Extreme Maximum | > 500.00 | ±0.1% | Verify input constraints for boundary saturation |
Provide your numeric inputs into the designated fields in Probability Calculator.
Observe real-time recalculations as values update without requiring a manual submit button.
Click 'Copy' to copy formatted results, or use 'Share Link' to bookmark your exact configuration.
Mutually exclusive events cannot happen at the same time (e.g., rolling a 2 and a 5 on a single die). Independent events do not affect each other's occurrence (e.g., flipping heads on coin 1 and rolling a 6 on die 2). If two events are mutually exclusive and have non-zero probability, they CANNOT be independent.
Utilifie is 100% free with zero data tracking. Support continuous development and tool elevations.
Zero-egress companion tools in the Calculators suite
Calculate normal probability sampling distributions with statistical precision, sample distributions, and inference data.
Calculate or probability with statistical precision, sample distributions, and inference data.
Calculate probability fraction with statistical precision, sample distributions, and inference data.
Solve percentage increases, decreases, fractions, and discounts.