Even After 10 Heads in a Row, the Next Fair Coin Flip Is Still Exactly 50/50
In 1913 at Monte Carlo, black hit 26 spins in a row while gamblers bet millions on red—forgetting that independent trials have zero memory.
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📈 Independent Trials
1913 Monte Carlo Casino Incident
Key Metric+20 XP
How many times in a row did roulette land on black in the 1913 Monte Carlo streak?
Your guess:0 times
Key Insight
Independent trials never compensate for past streaks; dilution over large N drives convergence.
Discovery Snapshot
📊 Statistics
Independent Trials
⚡ 17s51 words
Why / How?
01
Scientific Mechanism
The Gambler's Fallacy misreads the Law of Large Numbers. A fair coin never 'owes' a tail to balance a streak; instead, thousands of future unbiased flips merely dilute an early anomaly until the ratio drifts back toward 50%.
02
Why It Matters
Independent trials never compensate for past streaks; dilution over large N drives convergence.
Verified Source
Wikipedia — Gambler's Fallacy