Science cluster
Statistics & Probability Calculators
Run regression, hypothesis tests, confidence intervals, and probability distributions, and summarize data with means, variance, and percentiles.
Top calculators
A short starting set for the most common statistics & probability calculators workflows.
Beta Distribution Calculator – PDF, CDF, Mean, Variance & Mode
Beta distribution calculator for the Beta(a, b) PDF, exact incomplete-beta CDF, mean, variance, mode, quantiles and Bayesian posterior updates.
Galton–Watson Branching Process Extinction Probability Calculator
Estimate extinction probability, short-run survival, and criticality for Galton–Watson branching processes with Poisson, binomial, or custom offspring laws.
Hypergeometric Distribution Calculator for Sampling Without Replacement
Compute hypergeometric PMF, CDF, mean, and variance for finite-population draws without replacement.
Interactive Box Plot Calculator: Quartiles, Tukey Fences & Outliers
Create an interactive box-and-whisker plot from a list of values, compare three quartile conventions, and identify Tukey 1.5 × IQR outliers or display the full range.
Binomial Distribution Calculator for Exact, Cumulative, and Tail Probabilities
Calculate exact, cumulative, and tail probabilities for a binomial distribution with n trials, success probability p, and target successes k.
Expected Value and Variance Calculator | Discrete Outcomes, Spread, and Long-Run Average
Enter outcome-probability pairs to calculate the expected value, variance, and standard deviation of a discrete random variable, with automatic normalization, worked examples, and a balancing mini-game.
Raffle Odds Calculator - Chance of Winning With Multiple Tickets
Work out your raffle win chance from tickets sold, tickets owned and prizes drawn. Exact hypergeometric odds for 0, 1, 2 or more wins, plus expected prizes.
Student's t Distribution Calculator - PDF, CDF, Quantiles, and Critical Values
Evaluate the Student's t density, cumulative probability, survival chance, moments, and quantiles for any degrees of freedom.
All calculators in this cluster
Browse 19 calculators matched to this topic, or return to the Science category.
5×5 Absorbing Markov Chain Calculator — Fundamental Matrix and Outcomes
Analyze a 5×5 absorbing Markov transition matrix to calculate the fundamental matrix, expected steps before absorption, and probabilities for each terminal state.
Beta Distribution Calculator – PDF, CDF, Mean, Variance & Mode
Beta distribution calculator for the Beta(a, b) PDF, exact incomplete-beta CDF, mean, variance, mode, quantiles and Bayesian posterior updates.
Binomial Distribution Calculator for Exact, Cumulative, and Tail Probabilities
Calculate exact, cumulative, and tail probabilities for a binomial distribution with n trials, success probability p, and target successes k.
Birthday Paradox Calculator: Shared Birthday Odds by Group Size
Work out the chance that two people in a group share a birthday. See the exact formula, a live probability curve, benchmark table, and a collision-wagering mini-game.
Blackjack Next-Hit Bust Odds Calculator | Dealer Upcard Risk
Calculate blackjack next-hit bust odds, compare them with dealer upcard bust risk, and view a simple hit-or-stand prompt.
Boltzmann Factor Calculator | Thermal Energy-State Population Ratio
Calculate e^(-ΔE/kT) from an energy difference in eV and temperature in K to find the thermal population ratio between two energy states.
Doppelgänger Encounter Probability Calculator - Estimate Look-Alike Odds
Approximate the chance of meeting someone who resembles you based on crowd size and the diversity of appearance traits.
Expected Value and Variance Calculator | Discrete Outcomes, Spread, and Long-Run Average
Enter outcome-probability pairs to calculate the expected value, variance, and standard deviation of a discrete random variable, with automatic normalization, worked examples, and a balancing mini-game.
Food Pantry Inventory Rotation Calculator for FIFO/FEFO Planning | Reduce Waste & Improve Safety
Estimate whether pantry stock will move out before the earliest dated items reach a safe cutoff. Compare current stock, weekly distribution, expected donations, and a safety buffer to guide FIFO/FEFO rotation.
Galton–Watson Branching Process Extinction Probability Calculator
Estimate extinction probability, short-run survival, and criticality for Galton–Watson branching processes with Poisson, binomial, or custom offspring laws.
Ground Sampling Distance Calculator for Drone Image Resolution
Estimate drone-image ground sampling distance (GSD) in centimeters per pixel from camera pixel size, focal length, and flight altitude.
Hypergeometric Distribution Calculator for Sampling Without Replacement
Compute hypergeometric PMF, CDF, mean, and variance for finite-population draws without replacement.
Interactive Box Plot Calculator: Quartiles, Tukey Fences & Outliers
Create an interactive box-and-whisker plot from a list of values, compare three quartile conventions, and identify Tukey 1.5 × IQR outliers or display the full range.
Library of Babel Exact Phrase Search Probability Calculator
Estimate the chance that a random volume in Borges' Library of Babel contains an exact phrase of a chosen length anywhere in its 1,312,000-character text.
Loot Drop Probability Calculator - Estimate Your Odds for Rare Items
Work out the chance of at least one rare loot drop from a drop rate and attempt count, with expected attempts and the grind needed for 50, 90 and 99 percent.
Permutation & Combination Calculator: All Four Counting Rules
Compute nPr and nCr plus both repetition-allowed counts for any n and r, with exact big-integer results, worked examples and a hands-on enumeration game.
Raffle Odds Calculator - Chance of Winning With Multiple Tickets
Work out your raffle win chance from tickets sold, tickets owned and prizes drawn. Exact hypergeometric odds for 0, 1, 2 or more wins, plus expected prizes.
Roulette Odds Calculator: Wheel Probabilities, EV & House Edge
Compare single-spin roulette win and loss probabilities, net expected return, and house edge for standard bets on European and American wheels.
Student's t Distribution Calculator - PDF, CDF, Quantiles, and Critical Values
Evaluate the Student's t density, cumulative probability, survival chance, moments, and quantiles for any degrees of freedom.