Gambler's Fallacy
by Anonymous
Count only the tosses that follow a run of heads and watch the share settle at one half while the gap between the counts keeps widening.
#probability#randomness#statistics#criticalthinking#cognitivebias#adults#literacy#psychology#decisionmaking
About this app
Gambler's Fallacy is an interactive probability lesson built around coin-toss simulations. Explore what happens after runs of heads, compare the convergence of the heads ratio with the widening difference in counts, and identify which of two sequences was genuinely tossed versus manually constructed to look random.
Use cases
- Students learning probability and statistics
- Teachers demonstrating cognitive biases
- Adults exploring critical thinking and decision-making
- Anyone curious about randomness and the gambler’s fallacy
Features
- Filter coin tosses by the length of a preceding heads run and count the next result
- Compare heads percentage with the numerical gap between heads and tails
- Guess which of two 40-toss sequences is genuinely random
- Mission-based challenges with adjustable simulation settings
- Visual 60-toss sequence display showing selected positions