Discrete Probability vs Probability Practice

Everything you need to learn and compute discrete distributions — formulas, derivations, and visual tools, all in one app. In Discrete Probability app, everything is in one place: • User-friendly calculator • Formulas with rigorous yet easy-to-follow derivations — exportable as images or LaTeX • Descriptions of optimized computation methods when they differ from the standard formulas • Histograms and other essential visual tools Covered in the first version: • General concepts with definitions and derivations / proofs • Binomial distribution • Geometric distribution • Negative Binomial distribution • Hypergeometric distribution • Poisson distribution We welcome your feedback — write to graphmath@aol.com

Probability Practice is an educational application designed to help students understand and practice probability concepts through structured quizzes and mock tests. The app provides topic-wise questions covering fundamental and advanced probability topics commonly studied in mathematics and statistics courses. Students can practice conceptual questions, solve numerical problems, and monitor their performance using statistics. The app supports independent learning and systematic revision of probability concepts. Topics Included 1. Basic Concepts of Probability Random experiments, sample space, events, simple and compound events, and equally likely outcomes. 2. Types of Events Mutually exclusive events, exhaustive events, complementary events, independent and dependent events, and equally probable events. 3. Classical Probability Classical probability definition, probability value range, certain and impossible events, complement rule, and basic probability problems. 4. Addition Theorem of Probability Addition rule, mutually exclusive events, general addition theorem, union and intersection of events, and related problems. 5. Conditional Probability Definition of conditional probability, conditional probability formula, dependent and independent events, multiplication rule, and problem solving. 6. Bayes’ Theorem Concept of Bayes’ theorem, prior and posterior probabilities, likelihood, total probability rule, and applications. 7. Random Variables Definition of random variables, discrete and continuous random variables, probability distributions, probability mass functions, and probability density functions. 8. Mathematical Expectation Expected value, properties of expectation, variance, standard deviation, and expectation-related problems. 9. Probability Distributions Bernoulli trials, binomial distribution, mean and variance of binomial distribution, Poisson distribution, and distribution-based numerical problems. 10. Applications of Probability Applications in games, statistics, risk analysis, reliability analysis, decision theory, and real-life situations. Key Features Topic-wise probability practice quizzes Mock tests for overall assessment Daily quiz for regular practice Performance statistics to track progress Structured topics for systematic learning Simple and distraction-free interface Probability Practice is suitable for students studying probability in mathematics, statistics, and related fields who want structured practice and regular revision.