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HOW TO PLAY RIO3PATTI
ples of poker hand categories in descending order
There are two ways teen patti is played. One is by using a standard 52-card deck and another is by adding the two Joker cards, which are used as wild cards. The object of the game is to have the best three-card hand and to maximize the pot before the showdown. Any hand of a higher category beats any hand of a lower category. If two players have the same combination then the pot is split between the two no matter which of the two players asked for showdown. In another variation, where the suits hold ranks, the player with the higher suit wins the pot.
The categories are ranked as follows:Three of a kind (trio)
Three of the same cards. Three aces are the highest and three twos are the lowest trio.Straight flush (pure sequence)
Pure sequence is also known as Shahi and Pure run.
Three consecutive cards of the same suit.
The order of ranking from highest (defined by highest card in the sequence) to lowest is:A-K-Q, A-2-3, K-Q-J, Q-J-10, and so on down to 4-3-2. A wraparound (K-A-2) is not considered a straight flush, but is a valid flush.Straight (sequence)
Sequence is also known as run.
Three consecutive cards not all in the same suit. A straight is also referred as a round or sequence.
The highest to lowest ranking is (as with straight flushes): A-K-Q, A-2-3, K-Q-J, Q-J-10 and so on down to 4-3-2. As with straight flushes, K-A-2 is not a valid hand.Flush (colour)
All the 3 cards are of same suit. If two players both have flushes, the player with the high card wins; if they match, then the next highest card is compared, then the third card if needed. If two players have the same card values, then the hands are ranked by suit, with spades first and clubs last.Pair (double)
Two cards of the same rank. Between two pairs, the one with the higher value is the winner. If the pairs are of equal value, the value of the third card decides the winner. Therefore the lowest pair is 2-2-3 and the highest is A-A-K.No pair (high card)
If two players share a common high card, then rest of the cards are compared based upon their values.
Probabilities
The probabilities of the various ranking combinations are described below. All these probabilities are described for 52-card teen patti, without the two Joker cards. In Joker versions, the probabilities change widely, most importantly for pairs.
There are 52 cards in the deck. The sequence in which the cards are dealt does not matter, it is the combination of the three cards that matters. The total number of combinations of any elements, taken r at a time, from a set of n elements is given by the combination formula nCvar>r (COMBIN(n,r) in Microsoft Excel and compatible spreadsheets). Thus, the total number of three-card hands, from a deck of 52 cards, is calculated by the formula 52C3 = 22,100.
| Hand | Frequency | Probability | Cumulative Probability | Odds |
|---|---|---|---|---|
| Three of a kind/trio | 52 | 0.24% | 0.24% | 424.00:1 |
| Straight flush/pure sequence | 48 | 0.22% | 0.45% | 459.42:1 |
| Straight/sequence | 720 | 3.26% | 3.71% | 29.69:1 |
| Flush/colour | 1096 | 4.96% | 8.67% | 19.16:1 |
| Pair | 3744 | 16.94% | 25.61% | 4.90:1 |
| No pair/high card | 16440 | 74.39% | 100.00% | 0.34:1 |
| Total | 22,100 | 100.00% | 100.00% | 0.00:1 |
Although the probability of being dealt a pure sequence is slightly less than that of a trio, trios are considered higher hands in most versions of the game. Because of this variance from strict rarity, a popular house rule is to treat 2-3-5 of the same suit as a straight flush, thereby increasing the number of possible straight flushes to 52, the same as a trio, bringing the probabilities even.
