Teen Patti Odds
A deck of fifty-two cards makes 22100 different three-card hands, and that count is the whole of the arithmetic behind teen patti. Every hand in the ranking is some share of those hands, every pay schedule is a set of multipliers applied to those shares, and the two sides of an A-versus-B round are two draws from the same pool. This page gives the counts, sets them against the Three Card Poker ranking, and works out what a head-to-head round looks like.
The hands themselves and how a round runs are on the how-to-play guide. The schedules a table prints are its own, and this page explains how to price one rather than pricing any particular title.
Every Hand, Counted
Listed in the teen patti order. The four columns are one count read three ways: hands in the deck, their share of all deals, and how many deals pass on average between them.
Why the Commoner Hand Ranks Higher
There are 52 trails in the deck, four for each of the thirteen ranks, and 48 pure sequences, twelve runs in each of four suits. The pure sequence is the rarer hand by four, and in Three Card Poker, where the ranking follows the counts, it sits at the top as the straight flush. Teen patti ranks by tradition instead and puts the trail first.
The difference matters to a bet only on the deals where the two hands meet, which is a vanishingly small share of rounds, and to a pay schedule only in which line carries the larger multiple. On a Pair Plus table under either name, a schedule that pays the trail more than the pure sequence is paying the likelier hand more, and the price of the bet is slightly higher than the same figures the other way round.
The key number: The trail outranks the pure sequence by convention alone: a deck holds four more trails than pure sequences, 52 against 48.
Teen Patti Beside Three Card Poker
Only the top two positions swap. The other difference is the ace-low run: A-2-3 is the second-best sequence, below A-K-Q (the common rule; a game may print another), while in Three Card Poker it is the lowest straight. Everything from position three down is the same hand under two names.
Player A Against Player B
Two three-card hands from one deck, compared by the teen patti ranking with suits never breaking a tie. The two sides are perfectly symmetrical, so whichever a table pays less is the dearer bet, and the tie is settled from a payout set against a chance of about one round in 903.76.
Pricing a Schedule Yourself
A Pair Plus schedule, or a bonus schedule on an A-versus-B hand, is a list of multiples against the hands in the first table. Multiply each multiple by the chance of its hand, add the products, and subtract the chance of the hands that pay nothing: the result is what the bet returns per unit staked, and one minus it is the house edge. Because the chances never change, the schedule alone decides the answer, and two titles with the same name can sit a long way apart.
The rule: The deck fixes every hand's frequency, so a schedule's price moves only when a line of the schedule does.
Three common schedules are taken through that arithmetic on the Three Card Poker odds, over these 22100 hands under the other name. A teen patti table that ranks the trail first and pays it the larger multiple comes out a little dearer than the same figures would under the Three Card Poker order, for the reason given above.
The Dealer Game Without a Number
The price of the ante-and-play bet depends on the qualifying hand, the ante bonus schedule and the ranking a title prints, and those three vary enough between tables that a single figure for teen patti would be wrong more often than right. With a queen-high qualifier, a standard bonus and the Three Card Poker order the figure is known exactly, and the Three Card Poker page gives it; under the teen patti order it moves slightly, and under another qualifier or bonus it moves more.
Every dealer table prints the two lines that move its price most, how the dealer qualifies and what the bonus pays, and a glance at them before the first ante is worth more than any figure quoted for the game in general.
Teen Patti Odds FAQs
52 of the 22100 hands, which is 0.24% or about one deal in 425.
Yes, by four hands: 48 against 52. Teen patti ranks the trail higher anyway, by convention rather than by count.
0.11% of rounds, roughly one in 903.76. The rest divide equally between the two sides.
No one figure covers it. A dealer table's price follows from its qualifying hand, its bonus schedule and its ranking; a side bet's price is its schedule multiplied through the hand counts above. Each table sets its own.
A pair alone is dealt on 16.94% of deals, a colour on 4.96%, a sequence on 3.26%, a pure sequence on 0.22% and a trail on 0.24%. Every other deal, 74.39% of them, is high card.