Statistics & Probability Tutor vs Probability Paradox Lab

Stuck on a stats problem at midnight? Snap a photo. Get a step-by-step explanation. Move on. An AI tutor built specifically for statistics and probability, not a generic math solver that happens to handle stats. Whether you're prepping for AP Statistics, taking your first probability theory class, or brushing up on hypothesis testing for work, this app meets you where the textbook left off. WHAT YOU CAN DO Snap & Solve: Take a photo of any stats or probability problem. The AI returns a clear, step-by-step solution. AI Tutor: Ask follow-up questions in plain language. The tutor remembers the problem context and explains until it clicks. Topic Library: Structured lessons covering descriptive statistics, probability, distributions (normal, binomial, Poisson), hypothesis testing, regression, Bayes theorem, and more. Practice Exercises: Work through hand-picked problems for each topic, with instant feedback. Topic Quizzes: A focused quiz at the end of every topic to lock in what you learned. Step-by-Step Explanations: No black-box answers. Every solution is broken down so you understand the why, not just the result. Built to Keep You Going: Daily streaks, level progress, and small wins to keep practice habits sticking. WHO IT'S FOR - High school students taking AP Statistics or first-year stats - College undergrads in intro stats, business stats, or probability theory - Grad students brushing up before exams - Working professionals (data analysts, A/B testers, MBAs) who need a quick refresher - Anyone who has Googled "what does p-value mean" more than twice WHY STATS-FOCUSED MATTERS Generic math solvers handle stats as an afterthought. They'll give you the answer to a binomial probability question, but they won't explain why you used a binomial distribution in the first place. This app was built from the ground up for statistical reasoning, so the explanations actually teach you the subject, not just the calculation. PRIVACY Works without an account. We don't ask for your name, email, or any identifying info during normal use. Photos you scan are sent to the AI to generate an answer and then deleted, never stored on our servers. Full privacy policy in Settings. Questions or feature requests? Tap Settings, then Feature Request inside the app. Terms of Use: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/

"With 23 people in a class, what's the chance two share a birthday?" The answer exceeds 50%. Were you surprised? Probability Paradox Lab is an interactive app that lets you experience mathematical paradoxes through simulation — results that feel wrong, yet are mathematically proven. [ HOW IT WORKS ] 1. Make your intuitive guess 2. Run the simulation and see the real result 3. Read the math explanation and understand why Be surprised by the answer. Be surprised again by the explanation. [ FREE THEMES ] Birthday Problem (Free) With just 23 people, the probability of a shared birthday exceeds 50%. Why? Monty Hall Problem (Free) After the host opens a losing door, switching wins 2/3 of the time. Mathematically proven — yet deeply counterintuitive. Two Envelopes Problem (Free) A seemingly valid argument says you should always switch envelopes. Where's the flaw? Coupon Collector Problem (Free) Collecting all 10 kinds takes about 29 pulls on average. Fast at first, then it stalls. [ PREMIUM THEMES ] One-time purchase unlocks 12 more paradoxes and Quiz Mode across all themes. No subscriptions, no ads for premium users. Ellsberg Paradox Why do people prefer known odds over unknown ones — even when the math says they're equal? Boy or Girl Paradox "One child is a boy." How does that single fact change the probability? False Positive Paradox A 99%-accurate test says positive for a disease 1% of people have. You're sick with only ~50% odds. Gambler's Fallacy Five heads in a row. Is tails due? Randomness is clumpier than it looks. St. Petersburg Paradox Expected value is infinite, yet you'd pay little to play. Why? Nontransitive Dice (Efron-style) A beats B, B beats C, C beats A. No die is the strongest. Parrondo's Paradox Two losing games, played in alternation, somehow become a winning strategy. Simpson's Paradox A treatment wins in every subgroup — yet loses overall. How? Secretary Problem Interview one at a time with no going back. The optimal strategy for catching the best. Benford's Law About 30% of naturally occurring numbers start with a 1. A curious statistical bias. Friendship Paradox Your friends have more friends than you — the network bias that makes it true. 100 Prisoners Problem If even one fails, all are executed. Yet one strategy saves everyone about 31% of the time. [ PERFECT FOR ] - Math & statistics enthusiasts - Curious minds who love "why?" - Brain teaser & trivia fans - Students and lifelong learners