Explore statistics calculators for probability distributions, risk analysis, inventory planning, time tracking, Markov chains, game theory, and combinatorics.
These tools are built for students, analysts, engineers, managers, and technical users who need fast probability and statistics calculations with clear assumptions.
Statistics calculators help estimate probabilities, model uncertainty, analyze random processes, evaluate risk, and support data-driven decisions. This hub includes common probability distributions, Markov chains, Nash equilibrium, EOQ, risk matrix analysis, timesheets, and combinations.
Use these tools for homework, probability checks, business estimates, operations planning, and quick statistical learning before moving to validated software or deeper analysis.
Use these calculators for common discrete and continuous probability distributions.
Calculate the probability of drawing a specific number of successes from a finite population without replacement.
Determine the probability of a specific number of successes in a fixed number of independent trials.
Estimate the probability of a given number of events occurring in a fixed interval of time, space, or exposure.
Calculate the number of trials needed to get the first success in repeated Bernoulli trials.
Model waiting time between independent events occurring continuously at a constant average rate.
Use these tools for risk prioritization, inventory planning, reorder logic, and weekly hour calculations.
Evaluate and prioritize risks by combining likelihood and impact ratings.
Estimate economic order quantity and reorder planning values for inventory management.
Calculate weekly hours worked, daily time totals, and overtime estimates from entered work times.
Use these calculators for state transitions, strategy analysis, and game-theory learning.
Analyze probabilities of transitioning between different states over discrete time steps.
Calculate Nash equilibrium results for 2×2 games quickly and clearly.
Use this calculator to count possible selections from a larger set.
Compute the number of ways to select k items from n items, commonly known as combinations.
Use these calculators to check probability homework, understand distributions, and compare statistical assumptions step by step.
Use the tools for quick probability estimates, risk comparisons, inventory checks, and Markov-chain learning before deeper software analysis.
Use the calculators for early scenario comparison, then verify important results with data, context, and professional judgment.
Binomial probability for exactly k successes in n trials:
Poisson probability for k events with average rate λ:
Hypergeometric probability for k successes without replacement:
Number of combinations:
| Calculator | Best for | Main assumption |
|---|---|---|
| Binomial Distribution | Fixed number of yes/no trials | Independent trials with same success probability |
| Hypergeometric Distribution | Sampling without replacement | Finite population |
| Poisson Distribution | Event counts over an interval | Constant average rate |
| Geometric Distribution | Trials until first success | Repeated independent Bernoulli trials |
| Exponential Distribution | Time between events | Continuous waiting time with constant rate |
| Markov Chain | State transitions over time | Next state depends on current state probabilities |
This hub includes hypergeometric, geometric, binomial, Poisson, and exponential distribution calculators, plus risk matrix, EOQ, timesheet, Markov chain, Nash equilibrium, and n choose k calculators.
Use the Binomial Distribution Calculator when you have a fixed number of independent trials and each trial has the same probability of success.
Use the Hypergeometric Distribution Calculator when you sample from a finite population without replacement.
Poisson distribution models the number of events in an interval. Exponential distribution models the waiting time between events.
No. They are educational and estimation tools. For professional analysis, verify results with statistical software, data validation, assumptions testing, and expert review.