Probability Calculator Plus vs Spanish Reader

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.

Struggling with pronunciation while reading Spanish PDFs or articles? Looking up words breaks your reading flow? Spanish Reader lets you open any PDF file or web page with automatic IPA phonetic annotations. Tap any word to hear pronunciation and see definitions instantly — no interruption to your reading. KEY FEATURES: READ — Browser + PDF + Reader Mode - Built-in browser (Bing/Google search) and PDF reader with automatic IPA annotations - Open PDFs from Files, Mail, or any app via "Open in" / Share - Immersive reader mode: ad-free, adjustable fonts and themes - Peninsular & Latin American IPA modes, one-tap toggle UNDERSTAND — Definitions + Translation - Tap any word for definitions and pronunciation - Native language definitions: English, Chinese, Japanese, Korean, Vietnamese - One-tap translation: full article (web) or current page (PDF) via Bing/Google LISTEN — Text-to-Speech - Sentence-by-sentence playback with current sentence highlighting - Adjustable speed (0.4x to 2.0x) for all proficiency levels VOICE CUSTOMIZATION - Voices filtered by your IPA preference (Peninsular or Latin American) - "Auto" intelligently selects the highest quality voice on your device - Preview and compare each voice before selecting - Supports system voices and third-party TTS engines PRACTICE — Shadowing + Flashcards - Shadowing: record your reading, intelligent scoring for pronunciation assessment - Flashcard review: separate modes for vocabulary and sentences GROWTH — Learning Dashboard - Set daily goals and build study streaks - Visual progress insights and learning analytics - Growth system available in 51 languages ORGANIZE — Collection + Notes + Bookmarks - Save words and sentences with color-coded personal notes - Bookmarks, browsing history, and archive management by source PRIVACY & MULTI-LANGUAGE - All data stored locally — no registration, no data collection - Interface available in 50+ languages Whether you're preparing for DELE, SIELE, or reading academic papers, textbooks, novels, or news articles, Spanish Reader is your perfect companion for mastering Spanish. Download now! Read Spanish in the built-in web browser or import PDFs through Open In or Share. Browser, PDF, and Reader modes include pronunciation help, listening, translation, and Shadowing practice; save words, sentences, notes, bookmarks, and progress in the on-device archive. Terms of Use (EULA): https://www.apple.com/legal/internet-services/itunes/dev/stdeula/