Probability

Transform uncertainty into actionable insights.

Purpose

Provides fundamental tools for assessing risk and updating beliefs through cumulative probability calculations and Bayesian decision analysis.

Key functions

• ProbabilityOfAtLeastOne — Calculates the cumulative probability of an event occurring at least once over a series of trials, with visualizations for understanding risk thresholds.

• ProbabilityOfHypothesisGivenData — Implements Bayes' Theorem to update the probability of a hypothesis based on new evidence, including decision analysis to calculate the Expected Value of Information (EVOI).

Common use cases

• Risk Assessment: Estimating the likelihood of a system failure, cybersecurity breach, or infection outbreak over long-term exposure.

• Evidence-Based Decisions: Updating clinical diagnoses or intelligence assessments as new test results or signal data become available.

• Value of Information: Determining if acquiring additional data (e.g., a sensor report or medical test) is financially or operationally worth the cost.

• Strategic Reliability: Evaluating the performance of redundant systems and long-term project risks.