Last Updated: April 17, 2020

Teen Patti Pro

Introduction

Teen Patti Pro is a simplified version of teen patti or Three Card Poker. The game is offered by Woohoo Games, a provider of game software for Internet casinos.

Rules

1. Three cards will be dealt to each a Player and Dealer hand.
2. The hand with the higher poker value shall win.
3. The hand order is the same as Three Card Poker (as opposed to conventional teen patti), as follows, from highest to lowest:
• Straight flush
• Three of a kind
• Straight
• Flush
• Pair
• All other
4. The three main bets are as follows:
• Banker wins — Pays 1.9 for 1
• Tie — Pays 865 for 1.
• Player wins — Pays 1.9 for 1
5. There are also the following side bets on the poker value of either the Player or Dealer hand, as follows:
• Pair — Pays 5.65 for 1
• Flush — Pays 18.5 for 1.
• Straight — Pays 30 for 1
• Three of a kind — Pays 405 for 1
• Straight flush — Pays 440 for 1

Analysis

The following table is used to determine the probability of a winning Tie bet.

Tie in Teen Patti Pro

Hand Combinations
Hand 1
Combinations
Hand 2
Product
Straight flush 48 3 144
Three of a kind 52 - -
Straight 720 26 18,720
Flush 1,096 3 3,288
Pair 3,744 3 11,232
Nothing 16,440 26 427,440
Total 22,100   460,824

The second column from the left shows the number of combination for forming any given poker hand from a 52-card deck. The third column from the left shows the combinations of forming a hand of equal poker value with the remaining 49 cards in the deck. The right column is the product of the second and third columns.

The bottom right cell shows there are 460,824 ways for two hands from the same deck having the same poker value. There are combin(52,3)*combin(49,3) = 407,170,400 combinations of two poker hands from a single deck. Thus, the probability of a tie is 460,824/407,170,400 = apx 0.001131772 = apx 1 in 883.57.

Taking out these ties, the probability of either side winning is (1 - 0.001131772)/2 = 0.499434.

The next table shows what each bet pays, the probability of winning, and the return.

Teen Patti Pro Return Table

Hand Hand Hand Hand
Player 1.9 0.499434 0.948925
Banker 1.9 0.499434 0.948925
Tie 865 0.001132 0.978983
Pair 5.65 0.169412 0.957176
Flush 18.5 0.049593 0.917466
Straight 30 0.032579 0.977376
Three of a kind 405 0.002353 0.952941
Straight flush 440 0.002172 0.955656

Usually in casino games the long shot bets have a lower return, but in this case the best bet is on a tie, with a return of 97.90%.

To get the house edge of any bet, subtract the return from 1.