Probability Calculator Plus vs Simplex Linear Programming

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.

Master the mechanics of Linear Programming with an industrial-grade, visual Simplex solver. Whether you are an undergraduate student tackling Operations Research homework or an engineer optimizing complex systems, this app provides a high-performance, native environment to solve and visualize linear models. Built with Apple’s Accelerate Framework (vDSP), the engine performs hardware-accelerated matrix operations for desktop-class speed on your mobile device. Why this is the ultimate optimization tool: Visualize the Feasible Region: See your constraints come to life on an interactive Canvas. Plot the quadrant, identify intersection points, and explore the feasible region with intuitive gestures. The Simplex Journey: Watch the algorithm navigate from the origin to the optimal solution. Our "Visual Walker" tracks every iteration, highlighting each vertex transition with a clear, orange path. Professional Grade Logic: Full support for Big-M and Two-Phase methods. Easily handle ≤, ≥, and = constraints without needing to manually convert your model. Precision Entry: Clean, monospaced interface featuring color-coded inputs for coefficients, objective goals, and variable signs. Education-First Design: Perfect for learning the geometry behind the algebra. Follow the path, analyze the coordinate labels, and see exactly where the "Optimal" solution sits in the coordinate plane. Purely Native: No web wrappers or lag. Experience a fluid SwiftUI interface designed for "Engineering Soul"—performance, clarity, and reliability. Student & Professional Value Proposition For Students: Use it as a powerful "Check Your Work" tool. Compare your manual pivot steps against the visual path and verify your feasible region boundaries. For Professionals: Quickly prototype constraints and objectives on the go with a solver that respects hardware limitations and mathematical rigor.