Probability Calculator Plus vs Articulate

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.

Articulate is the most comprehensive way to learn the International Phonetic Alphabet (IPA) and the Americanist Phonetic Alphabet (APA) on your phone. Whether you're a linguistics student, speech-language pathologist, language learner, actor, or accent coach, Articulate takes you from zero to fluent IPA reader through structured lessons, hands-on practice, and interactive reference tools. STRUCTURED LEARNING PATH 16 expertly crafted lessons across two phases guide you from the basics to advanced phonetic analysis: Phase 1 — Fundamentals: Learn the vocal tract, place and manner of articulation, voicing, the vowel space, how to read IPA transcriptions, and the differences between IPA and APA notation. Phase 2 — Phonemic vs. Phonetic: Master phonemes and allophones, minimal pairs, diacritics, broad vs. narrow transcription, and English dialect analysis. INTERACTIVE IPA CHARTS Tap any of the 92 phonemes on beautifully designed consonant and vowel charts to hear native speaker pronunciations, see articulatory descriptions, and explore example words across multiple languages. 9 PRACTICE MODES Build real skills with varied exercises: Flash Cards — Review symbols with configurable difficulty Listen & Identify — Hear a sound, pick the symbol Symbol Identification — See a symbol, name it Minimal Pairs — Train your ear on confusable sounds Speak & Check — Say a phoneme and get AI pronunciation coaching Free-Form Transcription — Type IPA with a built-in on-screen keyboard Articulation Quiz — Match descriptions to symbols Word Transcription — Transcribe English words Mixed Challenge — Random mix of all exercise types GAMES & CHALLENGES Symbol Match — Memory card game across three difficulty levels Speed Round — Answer questions against the clock with combo multipliers up to 5x REFERENCE TOOLS Common English Phonemes quick reference IPA to APA conversion table for switching between notation systems Dual notation support — view IPA, APA, or both side-by-side throughout the app NATIVE SPEAKER AUDIO Every phoneme includes high-quality audio recordings. Example words feature pronunciation from speakers of English, Spanish, French, German, Arabic, Mandarin, Japanese, Hindi, and more. TRACK YOUR PROGRESS See your phonemes explored, audio plays, favorites, and recently viewed sounds. Optional account creation syncs your progress across devices. CUSTOMIZABLE EXPERIENCE Choose your notation system (IPA, APA, or both) Auto-play audio on card load Show or hide difficulty indicators DESIGNED FOR Linguistics students and professors Speech-language pathologists Language learners and polyglots Actors and accent coaches Anyone curious about how human speech works All lessons, audio, and practice modes are included — no downloads or subscriptions required. An internet connection is needed only for Speak & Check pronunciation feedback and optional account sync. What's New: Initial release! 16 structured lessons, 92 interactive phonemes with native speaker audio, 9 practice modes, games, IPA charts, and pronunciation coaching.