Contact, if you are interested in this website / domain name / Sponsorship / Advertisement / Partnership →
Free labGambler's fallacy

Coin-Flip Streak Lab

After five heads in a row, is tails “due”? Flip ten thousand coins and measure it. Then try to fake 100 random flips — most people can't.

H

Flip the coin.

0Flips
—Heads
0Longest streak
—Same side after 5-in-a-row

Running share of heads

The line wobbles early, then settles toward 50% — the law of large numbers in action.

Can you fake randomness?

Click H or T 100 times as “randomly” as you can (or type a sequence). We'll compare it with a real coin.

0 / 100

Streaks are normal. “Due” is not.

A fair coin has no memory, so the chance of heads on the next flip is 50% no matter what came before. Yet long streaks are far more common than intuition expects: in 100 flips a run of six or more identical results is the usual outcome, not a rare one. Gamblers who see such a run often conclude the other side is “due” — the gambler's fallacy.

P(heads | any previous sequence) = 1/2 P(5 heads in a row) = (1/2)^5 = 1/32 ≈ 3.1% — but over 100 flips there are dozens of chances for it to start.

Human-made sequences give themselves away: they switch sides too often and avoid long runs. A real coin switches about half the time and produces streaks that look “suspicious”. Roulette wheels and dice behave the same way — see the Roulette Simulator.