Is the Next One Tails?
by Anonymous · ⭐ 0 · 🍴 0
🪙 Heads came up three times in a row. Is tails due now? Toss 20,000 times, keep only the toss that lands «right after a run of heads», and heads is still half. It stays half even after six in a row — a coin has no memory. ⚖️ Second, share versus gap. People believe tails will «rush in to balance things», but the more you toss, the more only the «share» hugs a half while the «gap between the counts» grows wider. What is a ripple at 100 tosses fills the whole box at 10,000. Nothing pulls it back. 🎲 Third, spotting it. One of the two rows was really tossed; the other was made up by a person to «look random». A real coin tossed 40 times often runs 4 or more the same way — made-up rows almost never do. This app was made with code too · Remix it and change the number of tosses.
About this app
Is the next one tails? is an interactive lesson about the gambler’s fallacy and how people misread random coin tosses. Explore what happens after runs of heads, compare the ratio of heads with the growing difference between heads and tails, and test whether a sequence was genuinely random or human-made to look random.
Use cases
- Students learning probability and statistics
- Teachers explaining the gambler’s fallacy
- Adults practicing critical thinking about randomness
- Anyone interested in cognitive biases and numerical intuition
Features
- Counts tosses occurring immediately after a run of heads
- Shows that the next toss remains about 50% heads
- Compares heads-to-tails ratio with the difference in counts
- Interactive tabbed lessons with adjustable simulation controls
- Quiz that asks users to identify a real coin sequence
- Explains why long runs are common in genuine random sequences