ELI5: gambler's fallacy

// eli5

What is the gambler's fallacy?

The gambler's fallacy is when you think that if something hasn't happened for a while, it's "due" to happen soon [1][2]. It's like thinking that if a coin lands on heads five times in a row, it must land on tails next time—even though the coin has no memory and each flip is completely separate.

Why does your brain fall for it?

Our brains like to see patterns and think things balance out [2][4]. When you see the same result happen over and over, it feels wrong, so your brain predicts the opposite must come next. But random events don't work that way—they don't "remember" what happened before.

What does it feel like?

It feels like you have inside knowledge that the next roll of the dice or spin of the wheel is "due" to be different [3]. A gambler who has lost five times in a row might feel absolutely certain that a win is coming, even though the odds are exactly the same as they always were.

How do you avoid it?

Remember that each random event is completely independent and has the same odds every single time [1][3]. The past results don't change the future probability, no matter how many times you've seen the same outcome in a row.