Do Streaks Mean a Colour Is Due? Test It
No. A colour is never “due”, and a streak is not a trend. Fair rounds have no memory, and long streaks are a normal part of chance. Try the tool above, then check the table below.
The short answer: the game has no memory
The tool above predicts nothing. It only shows what fair rounds look like. Every round in it is drawn fresh, and the tool never looks at the last round when it makes the next one. Five greens in a row leave round six exactly where it was, with the same chance of green as any other round. Statisticians call this independence. We cannot see inside any platform, so we cannot say whether a real game works this way. The tool works this way by design.
The belief that a long run must be paid back has a name: the gambler’s fallacy. It feels right for three reasons.
- Totals do even out over thousands of rounds, which is true. People then assume each round must help correct the last. It does not. Later rounds are 50-50, and they only shrink the early surplus into a small share of a bigger total.
- A long streak is rare in any one short stretch, so it stands out when it arrives.
- You remember the streak you watched and forget the mixed stretches around it.
How long streaks run
The table shows what fair 50-50 rounds give. “Typical longest streak” counts either colour, like the tile in the tool. The last column follows one colour picked in advance, say red. If either colour counts, the chance is higher.
| Rounds | Typical longest streak | Chance of a run of 7 or more reds |
|---|---|---|
| 100 | 7 | 31.8% |
| 300 | 8 | 69.5% |
| 1,000 | 10 | 98.2% |
| 3,000 | 12 | 100.0% |
The 100.0% is not literal certainty. It is close enough to round up. Read down the second column: each time the number of rounds doubles, the longest streak grows by about one. A streak one round longer is half as likely to start at any given round, but a long stretch gives it many places to start.
Try it: ten presses
- In the tool, choose 300 rounds and leave the chance of green at 50.
- Press New random rounds and write down the longest streak.
- Repeat nine more times. Most of your ten numbers will sit close to the “usually gives” tile, and one or two may run longer.
- Switch to 100, then 1,000, and press a few more times. The numbers move as the table says.
What you are looking at:
- The dots. Each dot is one round, green or red, in order. At 1,000 or 3,000 rounds only the first 600 dots are drawn, so the outlined streak can be out of view. The tiles still use every round.
- Longest streak of the same colour. The length of the outlined stretch, in rounds.
- What chance alone usually gives. A rule of thumb for an even split. Move the chance of green away from 50 and the likelier colour will run longer than this tile says.
- Longest run of switching colour every round. The longest zig-zag. Neat zig-zags are as ordinary as long streaks.
- Streaks of five or more in a row. How many such streaks the rounds hold, in either colour.
“Due” and “the trend continues” are the same mistake
| Belief | What it says | Why it fails |
|---|---|---|
| “It’s due” | After a run of one colour, the other colour is more likely | The next round cannot know the run happened |
| “The trend continues” | After a run, the same colour is more likely | The same reason, pointing the other way |
| “Zig-zags and clusters are a code” | A neat pattern carries a signal | Random rounds make them all the time, as the zig-zag tile shows |
The first two beliefs contradict each other, yet one person can hold both in the same hour. Both treat the past as a push on the next round. In independent rounds it is only a record.
How surprising is the streak you saw?
Apps of this kind often show a chart of past results, and a long streak on it can look alarming. This table gives the chance that a streak of at least a given length turns up somewhere in 300 fair rounds, for one named colour:
| Streak of at least | Chance it appears in 300 rounds |
|---|---|
| 8 | 44.2% |
| 10 | 13.4% |
| 12 | 3.5% |
| 14 | 0.9% |
For either colour the chances are higher. A streak of ten in a stretch of 300 is therefore not rare, and on its own it is no evidence either way. This tool cannot judge a platform, and streak counts from a few hundred rounds are too blunt a test to settle whether a game is fair. The Win Go guide covers how a round works and why trend charts seem to show patterns.
What a streak is not
A streak is not a reason to raise a bet, lower it or switch colour. If a game’s rounds are independent, the average cost of a bet comes from its chances and payouts, not from the last result. The expected-loss calculator works that cost out.
Next, see what four popular rules do with the last few results in pattern systems, or what raising bets after a loss does in double after a loss. More popular ideas are in colour tricks and formulas. Back to the prediction simulator.
Common questions
Is a colour due after a long streak?
No. In fair random rounds each round is drawn fresh, so a streak does not make the other colour more likely next. The belief that it does is called the gambler’s fallacy. This describes fair random rounds only, because we cannot see inside any platform.
How long a streak is normal in 300 rounds?
About 8 in a row is typical for 300 fair 50-50 rounds, and a run of 10 or more of one named colour turns up 13.4% of the time. If either colour counts, long streaks are more common still.
Does a streak mean the trend will continue?
No, for the same reason a streak does not mean the other colour is due. In independent rounds the past gives the next round no push in either direction.
Why do long streaks look so unlikely when I watch one?
Any one long streak is rare in a short stretch, so it stands out when it arrives. Over hundreds of rounds long streaks are normal, and the mixed stretches around them are easy to forget.
Can I change the chance of green in the tool?
Yes, from 5 to 95 per cent. The “usually gives” tile assumes an even split, so with an uneven chance the likelier colour will run longer than that tile says.