On August 18, 1913, at Monte Carlo Casino, black came up 26 times IN A ROW.
Gamblers lost MILLIONS betting on red, believing it was "due." They were wrong.
Each spin is independent — the wheel has no memory!
🎰 Roulette Simulation
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Spin to play!
Your Balance
$1000
Recent Spins
Current streak: 0-
48.6%
Chance of Red (ALWAYS)
48.6%
Chance of Black (ALWAYS)
2.7%
Chance of Green (ALWAYS)
⚠️ These probabilities NEVER change, regardless of previous spins!
🏛️ The Monte Carlo Incident (August 18, 1913)
Black came up 26 consecutive times. The probability? About 1 in 66.6 million.
But here's the fallacy: after 25 blacks, the chance of the 26th being red was still just 48.6%.
Gamblers lost millions betting against black, convinced it "had to" change. The wheel doesn't remember.
Fallacy Strategy Results (1000 spins)
0
Times Fallacy "Worked"
0
Times Fallacy Failed
$0
Net Profit/Loss
0
Longest Streak Seen
Why We Fall For It
Pattern Recognition Gone Wrong: Our brains evolved to find patterns —
it helped our ancestors survive. But this instinct misfires with truly random events.
The "Law of Averages" Myth: People believe outcomes must "balance out" in the short term.
They do — but only over VERY long periods, and not by compensating for past results.
The Hot Hand's Evil Twin: The Gambler's Fallacy expects reversals after streaks.
The Hot Hand Fallacy expects streaks to continue. Both are wrong for independent events!
Real-World Examples
⚽ Soccer Penalties
Goalkeepers are 70% more likely to dive the opposite way after 3 consecutive kicks to the same side — but kickers don't exploit this!
🎰 Lottery Numbers
People avoid numbers that won recently, even though each draw is independent. "42 just won, it won't come up again!"
👶 Baby Gender
"We have 3 boys, the next one MUST be a girl!" Nope — still ~50/50 every time.
📈 Stock Trading
"This stock has fallen 5 days in a row, it's due for a bounce!" Past performance doesn't predict future results.
The Mathematics of Independence
For independent events A and B: P(A and B) = P(A) × P(B)
The probability of 26 blacks in a row: (18/37)²⁶ ≈ 1 in 66,600,000
The probability of the 26th being red GIVEN 25 blacks: 18/37 ≈ 48.6%
Conditional probability doesn't change for independent events. The wheel has no memory.
Each spin is a fresh start with the exact same odds.