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Probability and statistical models calculators
Explore 18 free probability and statistical models calculators. Calculate in your browser with clear inputs, worked examples, and transparent methods.
18 calculators available
- American Odds Implied Chance
Convert positive or negative American odds into an implied outcome probability.
- Binary Classification Correlation and Rates
Compare binary predictions with observed classes using four confusion counts and a read-only correlation result.
- Binary Classifier Sensitivity and Predictive Probabilities
Compute classification rates and likelihood ratios from a binary confusion table.
- Birthday Pair Collision Approximation
Estimate a shared birthday using an approximation that treats all person pairs independently.
- Chebyshev Tail Probability Bound
Bound the chance of a deviation from the mean using finite variance.
- Daily Compound Growth Projection
Infer a constant daily growth rate and apply it to a second value and time span.
- Expected Total and Spread of Fair Dice
Find the mean and standard deviation of a sum of independent fair dice.
- Fair Moneyline Odds and Repeated Outcome Chances
Convert a modeled success-to-failure ratio into fair odds and independent sequence probabilities.
- Independent Events and Repeated Trial Chances
Compare independent event combinations and constant-probability sequences.
- Independent Events Intersection and Related Chances
Calculate both-event probability and the associated union, complements and exclusive outcomes.
- Independent Events Union and Related Chances
Calculate the chance that at least one of two independent events occurs.
- Joint Probability with Conditional or Independent Inputs
Find the intersection probability from an independent pair or a conditional probability.
- Normal Distribution One to Three Sigma Bands
Find the familiar 68%, 95% and 99.7% bands around a normally distributed mean.
- Proportion Margin of Error with Population Correction
Estimate a normal-approximation margin for a sampled proportion.
- Roulette Net Payout and Expected Change
Calculate a standard roulette betโs net winning payout and average net change.
- Trial Count for the Required Success
Find the probability that the specified success first occurs on a chosen trial.
- Two and Three Set Count Relationships
Solve unions, intersections, exclusive regions and complements for two or three sets.
- Two Proportion Comparison with Pooled Z Score
Compare two independent observed conversion proportions using a pooled normal test.