Simulators

Gambler's Fallacy Trainer: Is a Number Due?

See a number that has not been drawn for a while, predict whether it comes up next, and compare your guesses with what random draws do.

Loading the simulator

Woman holding a ball to her ear as if listening

Try the trainer

  1. See the streakThe trainer shows a number and how many draws in a row it has been missing.
  2. PredictMake your guess about whether that number comes up in the next draw.
  3. CheckThe draw runs. Your guess is recorded next to what actually happened.
  4. RepeatAfter many rounds, the stats show long-missing numbers come up at the same rate as any other number.

The chance for the next draw

chance = main numbers drawn ÷ numbers in the game

Example: Lotto Max: 7 ÷ 52 = 13.5%. After a long absence, the next draw still gives that number 13.5%.

Absence streak vs next-draw chance

Number's recent historyChance in the next draw
Drawn in the last draw13.5%
Missing for a few draws13.5%
Missing for many draws13.5%
Drawn often lately ("hot")13.5%

Lotto Max main numbers. The past draws do not appear in the formula, so they cannot change the result.

What it feels like vs what happens

The fallacy

  • A number missing for many draws is "due".
  • A number drawn often is "hot" and will repeat.
  • Misses must even out soon.
  • Own numbers beat quick pick, or the reverse.

The math

  • Each draw is a new random draw from all the numbers.
  • In Lotto Max, each number has a 13.5% chance of being a main number per draw.
  • Over many draws, each number's share nears 13.5%; past misses are never made up.
  • Quick pick and own numbers have the same odds.

Where the fallacy shows up

Sources

Questions

What is the gambler's fallacy?

It is the belief that a random event becomes more likely after it has not happened for a while, or less likely after it just happened. In lotteries, it means thinking a missing number is "due".

Is a lottery number due if it has not been drawn for a long time?

No. Each draw is independent. In Lotto Max, one number has a 13.5% chance of being a main number in the next draw, whether it missed one draw or many.

Why does the gambler's fallacy feel right?

A long absence can look like a pattern that must end. But each draw is random and has no link to earlier draws. The streak simulator shows how long runs of misses can get by chance.

Do hot and cold numbers help pick lottery numbers?

No. They describe past draws only. Every combination has the same chance in the next draw, and quick pick and own numbers have the same odds.