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Kerala lottery ABC formula calculator: what the maths says

A lottery formula can only choose which numbers you play. It cannot change which numbers are drawn, and every set has exactly the same chance: 1 in 1,000 for a full match, whatever method picked the numbers.

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A payout counts your stake, so even money is 2×. “The last digits match” means the last few digits of the result equal the last few of your ticket, and matching every digit is an exact match. Choosing a bet fills in an example payout, either 2× for a bet that wins half the time or 5% under the break-even payout. These are illustrations, not any app’s table: type the payout and the fee your own app states.

1 in 1,000chance one ticket wins matching all 3 digits in order (0.1%)
1,000×payout at which this bet would cost nothing on average
5.00%house edge at 950×: what the game keeps on average
₹500expected loss over 100 rounds at ₹100
10%chance of finishing the session ahead
100losing rounds in a row: the longest run to expect
693rounds before at least one win is more likely than not

With 3 digits there are 1,000 equally likely results, and matching all 3 digits in order wins on 1 of them (1 in 1,000). At 950× the game keeps 5.00% of every stake on average: about ₹500 over 100 rounds at ₹100. No formula changes which result comes; it can only choose which one you play.

One fixed ticket of 3 digits against every possible result: how many positions match
Positions that matchResults out of 1,000ChanceOne in
310.1%1,000
2272.7%37
124324.3%4.1
072972.9%1.4

Practise with pretend money

Draws use your browser’s random numbers and the figures above. There is no money in it, and it is not any lottery’s draw: it shows how many tickets it takes before anything happens, and how rarely the big prizes come.

Take a lottery that pays on the last three digits. The numbers 000 to 999 are equally likely, so a guess from a formula and a guess from a coin are both 1 in 1,000. The page counts it rather than assuming it: 693 tries make a hit likelier than not.

Put a stake on one three-digit number. At a payout 5% below break-even the game keeps 5.00%, about ₹500 over 100 rounds of ₹100, whichever number you choose.

Change the numbers, the prizes or the payout above and every figure updates. Use the figures your own lottery states.

Common questions

Can a formula or calculator pick the numbers that will come up?

No. It can only choose which numbers you play, and every choice has the same chance. For a three-digit number a clever guess and a random guess are both 1 in 1,000, and the calculator’s figures hold whichever method made the guess.

Why do formulas built on past draws not work?

A formula that adds digits, counts gaps or tracks missing numbers fits a pattern to a finished list. The next draw is made fresh, so it owes nothing to that list. The formula’s pick is one set among many equal ones, no better than a random pick.

Is one set of lottery numbers likelier than another?

No. Every set of the same size has exactly the same chance, 1 in 1,39,83,816 for 6 from 49, and 1-2-3-4-5-6 is no rarer than a set picked with care. What can differ is how many other people played the same numbers, which changes how a shared jackpot is split.

How many tickets until a jackpot is likelier than not?

For 6 from 49, 96,92,843 tickets, which is about 26,556 years of one ticket a day. A hundred tickets give a 1 in 1,39,839 chance of a jackpot and cost ₹10,000 at ₹100 each.

What is the chance of matching a three-digit number?

1 in 1,000, since there are 1,000 numbers from 000 to 999 and each is equally likely. It takes 693 tries before at least one match is likelier than not. A guess that breaks the number into parts, or follows a formula, has the same chance.

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