Galton Board App vs The Options Guide

Unlock the power of probabilities and explore the beauty of mathematics in motion with the Galton Board App. This innovative application transforms your mobile device into a dynamic, interactive probability demonstrator that brings centuries-old mathematical concepts to life. The app utilizes your iPhone's and iPad's gyroscope capabilities, creating an immersive experience where the beads appear as if they are rolling around inside your device. The Galton Board was invented by Sir Francis Galton in 1873 to illustrate the binomial distribution. Through our app, we've recreated this educational tool to demonstrate how, with a large number of beads and rows of hexagons, it approximates the normal distribution - a concept known as the Central Limit Theorem. Key Features: • An interactive Galton Board that displays the principles of probabilities and the binomial distribution. • Detailed explanations of related mathematical concepts, including probability theories, independent identically distributed (IID) random variables, regression to the mean, the law of large numbers, the random walk, the Gambler's Fallacy, and more. • A "Stock Market Data" version, simulating the probabilities of a range of historical monthly market returns, and demonstrating their correlation with the binomial distribution. • The 'Historical Monthly Return Beads' featured with the Stock Market Data, where beads fall through the board based on monthly historical returns for a choice of 20 index portfolios. • Pause or slow-motion options to study the bead movement and distribution patterns in detail. The Galton Board App is ideal for statistics, math, and stock market enthusiasts. It is not just an app, it's an immersive, hands-on approach to understanding probabilities, the binomial distribution, and the stock market behavior. Presented by Index Fund Advisors, this app is your go-to educational tool. Download now and embark on a fascinating journey into the world of probabilities and the "law of unreason" as referred to by Sir Francis Galton himself!

Understand options, explore strategies, and see how an example position behaves as the underlying price changes. The Options Guide brings its learning library and interactive calculators to iPhone and iPad. Start with the basics, study a strategy, then try its example in a payoff calculator. LEARN AT YOUR OWN PACE Browse 774 bundled articles covering options, futures and related markets. Follow an eight-lesson foundation, search the guide, bookmark useful articles, and keep track of completed lessons. The reading library works offline. EXPLORE 87 STRATEGIES Browse strategies by bullish, bearish or neutral outlook. Filter by risk, read explanations and study payoff diagrams. Move directly from a strategy article into its calculator example. MAKE EXAMPLES YOUR OWN Adjust option legs, premiums, strikes, position size and fees. Inspect modeled profit and loss, maximum risk and reward, and break-even values where defined. Save scenarios on your device and return to them later. TOOLS FOR UNDERSTANDING Estimate theoretical option prices and Greeks, or compare position size with a risk budget. Enter numbers and arithmetic using the built-in calculator keypad. Tools marked Website open separately and require an internet connection. BUILT FOR READING Choose light or dark appearance, enlarge article text, explore tables and diagrams, and share article links. No account is required. Your bookmarks, reading progress and saved scenarios stay on your device. For education only. Examples and calculations are illustrative, not investment advice, live market quotes or an offer to trade. Results depend on the assumptions entered; some historical examples and market information may be dated. Options and futures involve risk.