Joined: Sep 17, 2019
• Posts: 4
January 25th, 2020 at 5:35:47 AM permalink
I am designing a game similar to baccarat but in the context of Texas holdem poker, this is a game of pure luck, no skill. The rules of the game is as follows:

There are 2 virtual players: A and B.
A and B receive 2 hole cards face down.
At this point real players may place bets on the following:

Main area
- Player A win
- Player B win
- Players A & B tie

Side bet area 1
Player A or B hole cards is:
- suited or connected or a suited connector (eg, K♦3♦; 7♥8♠; 3♣4♣).
- pocket pair (eg 8♠8♥)
- pocket aces (eg A♥A♦)

Side bet area 2
The winning player A or B wins with the following hand:
- high card or one pair
- two pairs
- three of a kind or straight or flush
- full house
- four of a kind or straight flush or royal flush

Side bet area 3
A wins on:
- pair 2
- pair 3
- pair 4
- pair 5
- pair 6
- pair 7
- pair 8
- pair 9

B wins on:
- pair 2
- pair 3
- pair 4
- pair 5
- pair 6
- pair 7
- pair 8
- pair 9

After real players bet, the 5 community cards are dealt in one instance (flop, turn, river). Player A and B construct the best 5 poker combination hands using the community cards and/or their own hole cards in exactly the same way as Texas holdem to see who wins or if it is a tie.

Question
I would like to find out the fair probability for all of the above betting scenarios listed above.
Please express the fair probability in both percentage and odds payout terms. Eg if it was a coin flip for heads and tails then the probabilities for：

Tails win = 50%, 2x

Hence if a better bets \$100 on heads I should give him a payout of \$200 if he were to win the bet.

Extra information
In side bet area 1, if both A and B satisfy the bet, the payout is paid out only once. Eg: a bettor bets \$100 on any pair and player A is pocket 7 and player B is pocket K, the bettor receives a payout of \$100 x odds payout.

Variant
Please make another 8 sets of fair probabilities where if

Either A or B wins on:
Pair 2
Pair 3
Pair 4
Pair 5
Pair 6
Pair 7
Pair 8
Pair 9

The main area only pays out 50% of the designated payout odds.

This should not affect the probabilities for side bet areas 1, 2 and 3. It should result in the fair payout odds for player A win and player B win to rise in order to compensate for the 50% payout events.

I am willing to pay for somebody to help me out with this task as it is quite urgent.

Thanks
Wizard
Joined: Oct 14, 2009
• Posts: 25464
January 25th, 2020 at 6:29:56 AM permalink
Very similar to Dragon Tiger but with two cards each.

I'm sure you'll get some very attractive offers here to do the math.
“Extraordinary claims require extraordinary evidence.” -- Carl Sagan
Joined: Sep 17, 2019
• Posts: 4
January 25th, 2020 at 7:08:56 AM permalink
Hi

Can I pay you to do the maths?

Thanks
charliepatrick
Joined: Jun 17, 2011