Chapter 02 · Probability
Dice probability in ludo: the one-sixth baseline.
A standard ludo die has six faces. Each number from one to six has an equal one-in-six chance on a fair throw. Almost everything that matters at the table follows from that one sentence.
01 · Baseline
Every face has a one-in-six chance
Throw a single fair die six times and you will probably see each face at least once. That is the one-in-six baseline. It is the floor of every ludo probability calculation.
Many beginners expect the game to balance out. They assume a long streak of non-sixes is due a six next. It is not. Each roll is independent. A streak of ten non-sixes in a row has roughly a one-in-sixty-million chance of happening on a fair die, but if it does, the next roll still has a one-in-six chance of being six.
How this shows up at the table
Players who treat rolls as independent rather than corrective are the ones who plan for the long run. Players who chase a "due" six stake more than they should and lose more than they should.
02 · The rule of six
Why six is the most important number
03 · Yard
Stalls in the yard
A token that has not rolled a six cannot leave the yard. If your opening three rolls are 2, 4, 1, you have spent three turns without advancing a single square. That is normal. Slightly more than half of all three-turn sequences stall the yard.
The arithmetic is straightforward. The chance of a non-six on any single roll is five in six. The chance of three non-sixes in a row is five-sixths cubed, or about 57.9%.
Plan your bankroll around the stall, not against it. New players frequently re-buy a stake after a long yard stall and lose again. The stall is not bad luck; it is the rule.
04 · Captures
Capture math, single and repeated
Source: arithmetic on a fair six-faced die. Capture chances rise sharply when the attacker's token is parked one square behind the target, because the needed die number is small.
05 · Three sixes
The three-consecutive-sixes rule
Most tournament rule cards include a three-consecutive-sixes penalty. The exact wording varies, but the common version is: if you roll three sixes in a row, your turn ends and the token you moved last stays where it is.
The penalty exists because a six grants a bonus roll, which means a long six-streak effectively gives one player unlimited movement. Without a cap, the game becomes a race rather than a contest. The cap restores the contest.
Read your platform's rule card before your first stake. Some Quick formats skip the cap to keep the contest short.
06 · Roll bias
Is the app's die fair?
A physical die can be biased by wear, by poor balance, or by a slightly off-centre pip. An app die is generated by a random number generator, which on a regulated platform is audited by an independent testing lab.
Look for two signals on the platform's rule card or footer: the testing lab name (e.g., iTech Labs, GLI) and the certificate issue date. If neither is present, the die roll may not be independently audited. Read our platform reviews for a checklist.
If you suspect bias, log your rolls. After 200 rolls, the expected count for each face is roughly 33. A face consistently below 25 or above 45 is a flag worth raising with the platform's grievance officer.
If you or someone close to you needs support, the helpline on the responsible-play desk is free in India and operates 24x7.
Sourcing
All probability figures on this page come from arithmetic on a fair six-faced die. Capture math assumes the attacker needs a six to land on a defender parked one square away; the chance rises or falls depending on the defender's exact position. Where house rules differ (capture range, three-sixes penalty, bonus-roll eligibility), the rule card on the platform supersedes this page.