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Teen patti probability and odds

There are 22,100 different three-card hands in a 52-card pack. Here is how many of them make each teen patti hand, what that means at the table, and a tool to deal random hands and watch the odds play out.

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The odds of every teen patti hand

HandExampleWaysProbabilityOdds
Trail520.24%1 in 425
Pure sequence480.22%1 in 460
Sequence7203.26%1 in 31
Color1,0964.96%1 in 20
Pair3,74416.94%1 in 5.9
High card16,44074.39%1 in 1.3

These are for a single 52-card pack and the classic rules. See the hand rankings for how each hand is defined.

Where the numbers come from

  • Trail: 13 ranks, and 4 ways to choose three of the four suits: 13 × 4 = 52.
  • Pure sequence: 12 runs (A-K-Q, A-2-3 and K-Q-J down to 4-3-2) in each of 4 suits: 12 × 4 = 48.
  • Sequence: 12 runs with any suits is 12 × 4 × 4 × 4 = 768, minus the 48 pure sequences: 720.
  • Color: any three cards of one suit is 4 × 286 = 1,144, minus the 48 pure sequences: 1,096.
  • Pair: 13 ranks for the pair × 6 ways to pick two suits × 48 choices for the third card: 3,744.
  • High card: everything else: 22,100 − 5,660 = 16,440.

What the odds mean at the table

  • Three hands in four are just a high card. A pair or better comes along only about one hand in four (25.6%), so a pair is a solid hand, especially in a small game.
  • Sequences and colors are rare. You will see a sequence or better in about 1 hand in 27. Betting big on one is usually right.
  • A pure sequence is rarer than a trail, 48 ways against 52, but the trail still ranks higher by tradition.
  • More players, better winning hands. With six players, the odds that somebody holds a pair or better are high, so an ace-high hand rarely survives to a show.
  • Jokers change everything. In joker variations like AK47, trails and sequences turn up many times more often. Read the variation rules before you bet on a sequence.

Playing blind and the odds

A blind player bets half as much as a seen player. Since about 74% of hands are only a high card, staying blind for a few rounds often costs less than looking and being forced to pack a weak hand. It also keeps seen players guessing. Practise the timing against four computer players on Team Teen Patti, with virtual chips only.

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