Probability Calculator Plus vs Distributions

Master probability and statistics with Probability Calculator — the most complete probability calculator for students, teachers, and data enthusiasts. Whether you're studying for an exam, teaching a class, or working through real-world statistics problems, ProbCalc gives you instant answers with full step-by-step solutions so you truly understand the math. - PROBABILITY CALCULATIONS - • Basic Probability — Calculate P(A) from favorable and total outcomes • Conditional Probability — Solve P(A|B) = P(A∩B) / P(B) • Independent Events — Multiply probabilities across multiple events • Dependent Events — P(A∩B) = P(A) × P(B|A) • Venn Diagram Calculator — Input P(A) and P(B), instantly get P(A∩B), P(A∪B), P(A XOR B), and occurrence probabilities over N trials — complete with visual Venn diagram • Custom Calculator — Enter values as fractions, decimals, or percentages - STATISTICAL DISTRIBUTIONS - • Binomial Distribution — P(X=k), mean, variance, and standard deviation • Normal Distribution — P(a ≤ X ≤ b) with z-score computation and CDF • Poisson Distribution — P(X=k) with λ parameter, mean, and variance -RANDOM EXPERIMENT SIMULATOR - Roll dice, flip coins, and draw cards — all with real probability charts: • Dice: D4, D6, D8, D10, D12, D20 (roll up to 6 at once) • Coins: Flip 1–10 coins simultaneously • Cards: Draw from a standard 52-card deck • Live frequency chart updates with every trial - STEP-BY-STEP SOLUTIONS - Every calculation shows the full working — formula, substitution, and result. Perfect for checking homework, preparing for exams, or learning how probability really works. - CALCULATION HISTORY - Every result is automatically saved. Search, review, and copy any previous calculation. Swipe to delete. Tap for full detail with all steps. -REFERENCE GUIDE - Built-in reference includes: • Complete probability and distribution formulas • Standard Normal Z-table (z = −3.0 to +3.0) • Interactive combinations C(n,r) and permutations P(n,r) calculator - DESIGNED FOR EVERYONE - Clean, distraction-free interface with full Dark Mode support. Tap any result to copy it instantly. Works on iPhone and iPad. No ads. No subscriptions. No internet required. Perfect for: • High school and university statistics courses • AP Statistics, IB Math, A-Level, SAT/ACT prep • College probability and statistics classes • Teachers preparing lessons and examples • Data analysts and business professionals Probability is the measure of the likelihood that an event will occur. Probability is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty. Summary of probabilities: Probability that both the events occur P(A ∩ B) = P(A) x P(B). Probability that either of event occurs P(A U B) = P(A) + P(B) - P(A ∩ B). Conditional Probability P(A | B) = P(A ∩ B) / P(B). Conditional Probability P(B | A) = P(A ∩ B) / P(A). Exclusive OR of A and B P(A XOR B) = P(A) + P(B) - 2 X P(A ∩ B). Probability theory is used widely in such areas of study as mathematics, statistics, finance, gambling, science (in particular physics), artificial intelligence/machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is applied in everyday life in risk assessment and modeling. The insurance industry and markets use actuarial science to determine pricing and make trading decisions. Governments apply probabilistic methods in environmental regulation, entitlement analysis (Reliability theory of aging and longevity), and financial regulation. Thanks for your support and do visit nitrio.com for more apps for your iOS devices.

Drag the curve. Shade a region. Watch probability respond. Distributions is a modern statistics study tool for students, educators, and anyone who wants to feel how probability distributions behave—not just memorize formulas. EXPLORE 41 DISTRIBUTIONS Browse discrete and continuous families with interactive PDF/PMF and CDF charts, live parameter sliders, descriptive statistics, examples, and random sampling. Search, favorites, recents, and side-by-side comparison keep the catalog usable on iPhone and iPad. TOUCH THE MATH Drag parameters on the chart and see the shape move. Turn on Probability mode to shade continuous regions or select discrete values and read the probability instantly. Typeset formulas stay linked to the live parameters. LEARN DEEPER Practice with Guess-the-Distribution quizzes, walk a relationship map between families, look up a searchable glossary, and check live z, t, and χ² critical values—all offline. ON-DEVICE AI (APPLE INTELLIGENCE) Ask the Distribution Advisor to suggest a distribution from a scenario, tap Explain for contextual teaching prompts, and optionally mix AI-generated quiz questions. AI output is labeled and advisory; exact probabilities and quantiles always come from the app’s calculator. When Apple Intelligence is unavailable, Explain and quizzes use built-in content and the Advisor tells you why it’s unavailable—everything else works the same. No accounts. No tracking. No third-party AI services. FIT MY DATA Paste or import a dataset, estimate candidate distributions, rank goodness of fit, inspect histogram and Q–Q overlays, and export reports. ONE-TIME PURCHASE Distributions is a paid app. One purchase includes all 41 distributions, interactive charts, calculators, Fit My Data, saved parameter sets, every quiz mode, exports, and unlimited on-device Advisor use. No subscriptions. No in-app purchases. No ads. Privacy-first by design: your exploration stays on your device.