Langur Burja Rules: Six Symbols, Six Dice and the House Edge

Every die carries the same six faces, and the cloth carries the same six symbols in a grid. The Nepali names are worth learning because four of them are simply the card suits, which tells you something about where the modern set came from.

The name of the game comes from the first two. Langur is the grey monkey of the Nepali hills, and burja means a crown or a bastion. The usual explanation for the monkey is the shaking cup, which was traditionally made in the shape of a monkey's head; older cloths and dice sets also print a langur on the face that modern sets give to the flag. You will meet both explanations in Nepal and neither is documented well enough to state as fact, so we give them as the accounts that circulate.

1. The banker sets up. A cloth printed with the six symbols goes on the ground, and the banker holds the six dice and a cup. The banker is not a neutral referee: they are the opposing party and they keep every losing stake.
2. Punters place stakes. You put money on any one symbol, or on several at once. Each stake is settled independently, so backing three symbols is three separate bets, not one bet with better cover.
3. The banker rolls. The dice are shaken in the cup and tipped out under it, then revealed. All six are read at once.
4. The banker counts matches. For each symbol, count how many of the six dice show it. Call that number k for the symbol you backed.
5. Settlement. Under the street rule, if k is 0 or 1 the banker takes your stake. If k is 2 or more you get your stake back plus k times the stake. Payment is immediate and the next round starts.

That is the whole game. There is no decision after the stake is placed, no skill, and nothing to learn beyond the payout schedule. A round takes well under a minute, which is why a busy board turns over money extremely fast.

The payout rule varies, and the variation matters enormously

Two conventions circulate. The one described above, where nothing is paid on a single match, is the canonical six-dice street rule in Nepal. The other, imported from the three-dice Crown and Anchor game, pays out from a single match upward. With three dice that second rule still leaves the banker ahead. With six dice it does not, and it swings the game hard in the punter's favour. Always establish which rule is in use before you stake anything, because the two are not close.

Six fair dice, each with one face carrying your symbol, means each die matches with probability one in six, independently. The number of matches follows a binomial distribution, and the exact figures are these.

Read the first two rows and the game becomes obvious. Three quarters of the time, 73.7 percent, your symbol appears either not at all or exactly once, and under the street rule both of those outcomes lose your stake. The eye-catching four, five and six match payouts together account for under one percent of rolls.

Working the expectation through for a one unit stake under the street rule: you lose one unit 73.68 percent of the time, and the rest of the time you gain k units. The expected return works out at minus 0.1387 units per unit staked, which is a house edge of about 13.9 percent. For comparison, European roulette takes 2.7 percent and a fair coin toss takes nothing. Langur Burja is roughly five times more expensive than roulette per bet, and a busy board runs a round a minute.

The banker's edge sits entirely in that single-match row. If a single match paid the stake back with no profit, the edge would collapse to a few percent. If it paid stake plus one, as in the three-dice Crown and Anchor rule, the six-dice game would swing to the punter. The whole business model of a Langur Burja cloth is the 40 percent of rolls where your symbol shows up exactly once and you get nothing for it.

What about backing several symbols?

It does not help. Each stake is settled independently against the same edge, so covering three symbols simply puts three times as much money through a 13.9 percent margin. Spreading stakes lowers the variance of your evening and raises the total you are expected to lose. There is no combination of symbols, stake sizes or timing that changes the number, because the dice have no memory.

The season is autumn. From Dashain in the Nepali month of Ashwin through Tihar in Kartik, roughly late September to November, gambling that is discouraged the rest of the year is widely tolerated. Cloths appear at the edges of festival grounds, in courtyards, outside temple compounds and at bus stops. In Thankot you will find them along the approach to the Mahalaxmi Temple during the fair days and around the Mahalaxmi Jatra in Kartik and Mangsir.

It is a social game rather than a quiet one. A working board has a crowd around it, a banker calling the result, and a good deal of shouting. Stakes at a village board are usually small, from a few rupees upwards, and part of the point is the noise. Stakes at a board run for serious money in a city courtyard are a different proposition entirely and not something a visitor should join.

The same game is played as Jhandi Munda across the Indian border, particularly in the north east, and as Crown and Anchor in British naval tradition, where it is played with three dice and the flag and crown are replaced by an anchor and a crown. The mechanics are identical; only the dice count and the artwork change.

Langur Burja played for money is gambling with a large, fixed, mathematically unavoidable disadvantage to the punter. That is not a moral position, it is arithmetic: every unit you stake on a street board is worth about 0.86 units back. Over an evening of one-minute rounds the outcome converges on that number and no system, streak or symbol preference alters it.

Nepal restricts casino gambling to licensed venues and generally bars Nepali citizens from them; the tolerance of festival dice boards during Dashain and Tihar is customary rather than a general legal permission, and enforcement varies. If you decide to play at a festival, treat the stake as the price of the experience, take a fixed amount in small notes, and leave the rest behind.

The version of the game on this site exists so that the mechanics and the odds can be seen at work. It uses play counters with no purchase path, no transfer, no cash out and no link to any betting operator. Note that it also uses the generous payout rule that pays from a single match, which with six dice is actually favourable to the player, so a winning streak in the browser tells you nothing about a real board.