//http://poker.stackexchange.com/questions/1474/formula-for-making-a-single-pair-on-the-flop
public ProbabilityViewModel FindChancesOfPokerHands(MyHand myHand)
{
//TODO: POSSIBLE BUGS SEEN ON STRAIGHT POSSIBILITY
//TODO: INDICATOR OF PLAYING BOARD CARDS (IE IF 2 BOARD CARDS ARE PAIR, GETTING 3KIND ON BOARD IS
//ONLY GOOD IF YOU HAVE ANOTHER HIGH CARD FOR POSSIBLE KICKER)
//HAND STRENGTH INDICATOR: DEPENDS ON WHETHER YOUR CARDS COME INTO PLAY, HOW HIGH IN PLAY
//(IE HIGHEST CARD IN STRAIGHT, LOW OR HIGH COMPLETION OF FLUSH, ETC)
ProbabilityViewModel vm = null;
if (CurrentRound == Rounds.isPreFlop)
{
vm = GetChancesOnFlop(myHand);
}
else if (CurrentRound == Rounds.isFlop || CurrentRound == Rounds.isTurn)
{
vm = GetChancesOnTurnAndRiver(myHand);
}
//river was just dealt, hide all chance texts except my hand
else if (CurrentRound == Rounds.isRiver)
{
double rank = myHand.GetRank();
var pokerHand = MyHand.GetPokerHand(rank);
bool isRoyalFlush = false;
if (pokerHand == PokerHand.STRAIGHT_FLUSH &&
MyHand.CheckForRoyalFlush(rank))
{
isRoyalFlush = true;
}
vm = new ProbabilityViewModel(pokerHand, isRoyalFlush);
}
return(vm);
}
private ProbabilityViewModel GetChancesOnFlop(MyHand myHand)
{
//pc.roundText.text = "CHANCES ON THE FLOP";
List <int> myPocketRanks = myHand.GetPocketCardRanksHighToLow();
//just the suits of the pocket hand
List <string> myPocketSuits = myHand.GetPocketSuits();
bool cardsAreSuited = myHand.PocketCardsAreSuited();
var cardsForPair = new double();
var cardsForTriple = new double();
var chanceHighCard = new double();
var chancePair = new double();
var chanceTwoPair = new double();
var chanceThreeKind = new double();
var chanceStraight = new double();
var chanceFlush = new double();
var chanceFullHouse = new double();
var chanceFourKind = new double();
var chanceStraightFlush = new double();
var chanceRoyalFlush = new double();
double rank = myHand.GetRank();
//IF I HAVE A HIGH CARD WITH MY POCKET CARDS
if (MyHand.IsMyPokerHand(rank, PokerHand.HIGH_CARD))
{
//3 cards could pair with first pocket card and 3 with the second
cardsForPair = 6;
// chanceHighCard = 1;
//flop0 pairs, flop1 doesnt, flop2 doesnt
//6/50 * 44/49 * (43-3)/48. The 3 represents the number of ranks left matching flop1
chancePair = cardsForPair / CardsLeft * ((CardsLeft - 1) - (cardsForPair - 1)) / (CardsLeft - 1) * ((CardsLeft - 2) - (cardsForPair - 1) - 3) / (CardsLeft - 2) * Constants.HOLDEM_FLOPSIZE;
//TWO PAIR SECTION --------------------------------------------------------
//chance of first card pairing with a pocket card, 2nd card not pairing, 3rd card pairing with 2nd card
//6/50 * 44/49 * 3/48
double chanceTwoPairComm = 6d / CardsLeft * 44d / (CardsLeft - 1) * 3d / (CardsLeft - 2) * Constants.HOLDEM_FLOPSIZE;
//chance of first card pairing with a pocket card, 2nd card pairing with other pocket card, 3rd card not pairing
//6/50 * 3/49 * 44/48
chanceTwoPair = cardsForPair / CardsLeft * 3d / (CardsLeft - 1) * ((CardsLeft - 2) - (cardsForPair - 2)) / (CardsLeft - 2) * Constants.HOLDEM_FLOPSIZE + chanceTwoPairComm;
//chance of all 3 comm cards same rank (not same as either pocket card)
//(50-6)/50 * 3/49 * 2/48
double chanceThreeKindComm = (CardsLeft - cardsForPair) / CardsLeft * 3d / (CardsLeft - 1) * 2d / (CardsLeft - 2);
//chance flop0 pairing, flop1 pairing with flop0, flop3 not pairing
//6/50 * 2/49 * 44/48 * Constants.HOLDEM_FLOPSIZE + chanceThreeKindComm
chanceThreeKind = cardsForPair / CardsLeft * 2d / (CardsLeft - 1) * ((CardsLeft - 2) - (cardsForPair - 2)) / (CardsLeft - 2) * Constants.HOLDEM_FLOPSIZE + chanceThreeKindComm;
//STRAIGHT AND STRAIGHT FLUSH POSSIBILITY --------------------------------------------
//for possible straight on flop,
//cards must have an Ace and 2,3,4 or 5 (Ace low straight), or cards must be less than 5 ranks different
bool hasAce = myPocketRanks[0] == 14;
bool possAceLowStraight = hasAce && myPocketRanks[1] <= 5;
bool possNormalStraight = myPocketRanks[0] - myPocketRanks[1] < 5;
if (possAceLowStraight || possNormalStraight)
{
//STRAIGHT IS POSSIBLE ON FLOP
//number of card ranks per each suit
double ranksPerSuit = 4d;
//IF RANKS ARE < 4 APART AND THERE IS NO ACE, the first card has 8 possibilities
//(ie if pocket cards are 2 and 5, first card can be Ace or 6)
if (myPocketRanks[0] - myPocketRanks[1] < 4 && !hasAce)
{
//8d / 50d * 4d / 49d * 4d / 48d * 3d*2d;
chanceStraight = 2d * ranksPerSuit / CardsLeft * ranksPerSuit / (CardsLeft - 1) * ranksPerSuit / (CardsLeft - 2) * 3d * 2d;
}
else
{
//ranks are at the ends of the straight so there is only one possible straight
//since they are all different ranks, there are 3! (3*2) different orders for them to be dealt
//4d / 50d * 4d / 49d * 4d / 48d * 3d*2d;
chanceStraight = ranksPerSuit / CardsLeft * ranksPerSuit / (CardsLeft - 1) * ranksPerSuit / (CardsLeft - 2) * 3d * 2d;
}
//if cards are suited, there's a chance of straight flush on flop
if (cardsAreSuited)
{
//straight flush is also possible on flop
//1d / 50d * 1d / 49d * 1d / 48d * 3d * 2d;
chanceStraightFlush = 1d / CardsLeft * 1d / (CardsLeft - 1) * 1d / (CardsLeft - 2) * 3d * 2d;
//Royal flush chance
bool bothRankedAtLeastTen = myPocketRanks[0] >= 10 && myPocketRanks[1] >= 10;
if (bothRankedAtLeastTen)
{
chanceRoyalFlush = chanceStraightFlush;
}
}
}
else
{ //cards are not within 5 ranks so no possibility of straight
Debug.WriteLine("straight is not possible on flop");
chanceStraight = 0;
chanceStraightFlush = 0;
}
//FLUSH POSSIBILITY--------------------------------------------
if (cardsAreSuited)
{
//flush is possible on flop
var flushCardsLeft = 11d;
//flop0 is flushcard, flop1 is flushcard, flop2 is flushcard (only one way to order this)
//11d / 50d * 10d / 49d * 9d / 48d;
chanceFlush = flushCardsLeft / CardsLeft * (flushCardsLeft - 1) / (CardsLeft - 1) * (flushCardsLeft - 2) / (CardsLeft - 2);
}
else
{
Debug.WriteLine("flush not possible on flop");
chanceFlush = 0;
}
//FULL HOUSE POSSIBILITY--------------------------------------------
//chance of pairing on flop0, triple on flop1, pairing with other pocket card on flop2
//6d / 50d * 2d / 49d * 3d / 48d * Constants.HOLDEM_FLOPSIZE;
chanceFullHouse = cardsForPair / CardsLeft * 2d / (CardsLeft - 1) * 3d / (CardsLeft - 2) * Constants.HOLDEM_FLOPSIZE;
//FOUR OF A KIND POSSIBILITY--------------------------------------------
//first card has 6 possibilities for pairing, then only 2 for triple, then 1 for quad
//6 / 50 * 2 / 49 * 1 / 48
chanceFourKind = cardsForPair / CardsLeft * 2d / (CardsLeft - 1) * 1d / (CardsLeft - 2);
//starts from 1 (pair) through straight flush (count-1) because royal flush is a type of straight flush
chanceHighCard = 1;
} //CLOSE HIGH CARD
else if (MyHand.IsMyPokerHand(rank, PokerHand.PAIR))
{
//HIDE HIGH CARD CHANCE TEXT
//pc.chanceTexts [0].enabled = false;
//TWO PAIR SECTION --------------------------------------------------------
//chance of first card not tripling with pocket cards, 2nd card not tripling or pairing with 1st, 3rd card pairing with 2nd card
//48/50 * (47-3)/49 * 3/48 * 3
chanceTwoPair = 48d / CardsLeft * 44d / (CardsLeft - 1) * 3d / (CardsLeft - 2) * Constants.HOLDEM_FLOPSIZE;
//THREE KIND SECTION
cardsForTriple = 2;
//chance flop0 tripling, flop1 no multiple, flop2 no multiple
//2/50 * 48/49 * (47-3)/48 * Constants.HOLDEM_FLOPSIZE
chanceThreeKind = cardsForTriple / CardsLeft * ((CardsLeft - 1) - (cardsForTriple - 1)) / (CardsLeft - 1) * ((CardsLeft - 2) - (cardsForTriple - 1) - 3d) / (CardsLeft - 2) * Constants.HOLDEM_FLOPSIZE;
//STRAIGHT, FLUSH, AND STRAIGHT FLUSH NOT POSSIBLE --------------------------------------------
chanceStraight = 0;
chanceFlush = 0;
chanceStraightFlush = 0;
//FULL HOUSE POSSIBILITY--------------------------------------------
//chance of all 3 comm cards same rank (not same as either pocket card)
//(50-2)/50 * 3/49 * 2/48
double chanceThreeKindComm = (CardsLeft - cardsForTriple) / CardsLeft * 3d / (CardsLeft - 1) * 2d / (CardsLeft - 2);
//TODO: RECODE
//flop0 triples, flop1 other rank, flop2 pairs with flop1
//2/50 * 48/49 * 3/48 * Constants.HOLDEM_FLOPSIZE
chanceFullHouse = 2d / 50d * 48d / 49d * 3d / 48d * Constants.HOLDEM_FLOPSIZE + chanceThreeKindComm;
//flop0 and flop1 make quad, flop2 any card
//2d / 50d * 1d / 49d * 1d * Constants.HOLDEM_FLOPSIZE
chanceFourKind = 2d / 50d * 1d / 49d * 1d * Constants.HOLDEM_FLOPSIZE;
chancePair = 1;
} //CLOSE PAIR
var vm = new ProbabilityViewModel
(chanceHighCard, chancePair, chanceTwoPair, chanceThreeKind,
chanceStraight, chanceFlush, chanceFullHouse,
chanceFourKind, chanceStraightFlush, chanceRoyalFlush);
return(vm);
}
private ProbabilityViewModel GetChancesOnTurnAndRiver(MyHand myHand)
{
var chanceHighCard = new double();
var chancePair = new double();
var chanceTwoPair = new double();
var chanceThreeKind = new double();
var chanceStraight = new double();
var chanceFlush = new double();
var chanceFullHouse = new double();
var chanceFourKind = new double();
var chanceStraightFlush = new double();
var chanceRoyalFlush = new double();
var cardsForPair = new double();
var cardsForTriple = new double();
double rank = myHand.GetRank();
//if (CurrentRound == Rounds.isFlop)
//{
// //pc.roundText.text = "ON THE TURN AND RIVER";
//}
//else
//{
// //pc.roundText.text = "ON THE RIVER";
//}
//high card
if (MyHand.IsMyPokerHand(rank, PokerHand.HIGH_CARD))
{
if (CurrentRound == Rounds.isFlop)
{
//5 cards dealt (including my pocket hand) * 3 left of each rank
cardsForPair = 15;
// 15/47 * 32/46 * 2
chancePair = cardsForPair / CardsLeft * (CardsLeft - cardsForPair) / (CardsLeft - 1) * 2;
// 15/47 * 12/46
chanceTwoPair = cardsForPair / CardsLeft * (cardsForPair - 3) / (CardsLeft - 1);
// 15/47 * 2/46 (there are 2 cards left after pair that could make a triple)
chanceThreeKind = cardsForPair / CardsLeft * 2 / (CardsLeft - 1);
}
else if (CurrentRound == Rounds.isTurn)
{
cardsForPair = 18;
chancePair = cardsForPair / CardsLeft;
chanceTwoPair = 0;
chanceThreeKind = 0;
}
chanceFullHouse = 0;
chanceFourKind = 0;
//todo this should be 1 - all other chances
chanceHighCard = 1;
}
else if (MyHand.IsMyPokerHand(rank, PokerHand.PAIR))
{
//HIDE HIGH CARD CHANCE TEXT IF ALREADY HAVE A PAIR
//pc.chanceTexts [0].enabled = false;
if (CurrentRound == Rounds.isFlop)
{
// 9/47 * 38/46 * 2 = 31.6%
chanceTwoPair = 9d / CardsLeft * (CardsLeft - 9d) / (CardsLeft - 1) * 2;
// 2/47 * 45/46 * 2 = 8%
chanceThreeKind = 2d / CardsLeft * (CardsLeft - 2d) / (CardsLeft - 1) * 2;
//triple, then pair
// 2/47 * 9/46 * 2 = 1.7%
chanceFullHouse = 2d / CardsLeft * 9d / (CardsLeft - 1) * 2;
//.09%
chanceFourKind = 2d / CardsLeft * 1d / (CardsLeft - 1);
}
else //if (GameState.currentRound == GameState.Rounds.isTurn)
{
//6 cards dealt, 2 are a pair, so 4 * 3 possible cards to pair with
chanceTwoPair = 12d / CardsLeft;
//triple with pocket cards
chanceThreeKind = 2d / CardsLeft;
chanceFullHouse = 0;
chanceFourKind = 0;
}
chancePair = 1;
}
else if (MyHand.IsMyPokerHand(rank, PokerHand.TWO_PAIR))
{
Debug.WriteLine("Case: two pair on flop/turn");
//HIDE CHANCE TEXTS FOR HIGH CARD, PAIR, THREE KIND
for (int i = 0; i <= 3; i++)
{
//don't hide 2 pair
if (i != 2)
{
//pc.chanceTexts [i].enabled = false;
}
}
if (CurrentRound == Rounds.isFlop)
{
// 4/47 * 43/46 * 2 = 16%
chanceFullHouse = 4d / CardsLeft * (CardsLeft - 4) / (CardsLeft - 1) * 2;
chanceFourKind = 4d / CardsLeft * 1d / (CardsLeft - 1);
}
else
{
chanceFullHouse = 4d / CardsLeft;
chanceFourKind = 0;
}
//if 2 pair, a triple would give a full house
chanceThreeKind = 0;
chanceTwoPair = 1;
}
//3 of a kind
else if (MyHand.IsMyPokerHand(rank, PokerHand.THREE_OF_A_KIND))
{
for (int i = 0; i <= 2; i++)
{
//pc.chanceTexts [i].enabled = false;
}
if (CurrentRound == Rounds.isFlop)
{
// 6/47 * 41/46 * 2
chanceFullHouse = 6d / CardsLeft * (CardsLeft - 6d) / (CardsLeft - 1) * 2;
chanceFourKind = 1d / CardsLeft * 2;
}
else
{
chanceFullHouse = 6d / CardsLeft;
chanceFourKind = 1d / CardsLeft;
}
chanceThreeKind = 1;
}
//straight
else if (MyHand.IsMyPokerHand(rank, PokerHand.STRAIGHT))
{
chanceFullHouse = 0;
chanceFourKind = 0;
chanceStraight = 1;
}
//flush
else if (MyHand.IsMyPokerHand(rank, PokerHand.FLUSH))
{
chanceFullHouse = 0;
chanceFourKind = 0;
chanceFlush = 1;
}
//full house
else if (MyHand.IsMyPokerHand(rank, PokerHand.FULL_HOUSE))
{
if (CurrentRound == Rounds.isFlop)
{
chanceFourKind = 1d / CardsLeft * 2;
}
else
{
chanceFourKind = 1d / CardsLeft;
}
chanceFullHouse = 1;
}
//four of a kind
else if (MyHand.IsMyPokerHand(rank, PokerHand.FOUR_OF_A_KIND))
{
//already checked below
//chanceStraightFlush = 0;
chanceFourKind = 1;
}
//straight flush
else if (MyHand.IsMyPokerHand(rank, PokerHand.STRAIGHT_FLUSH))
{
int rankIndexStraightFlush = (int)PokerHand.STRAIGHT_FLUSH;
bool isRoyalFlush = Math.Round(rank, 2) == rankIndexStraightFlush + Constants.ACE_VAL / 100d;
bool isKingHighStraightFlush = Math.Round(rank, 2) == rankIndexStraightFlush + Constants.KING_VAL / 100d;
bool isQueenHighStraightFlush = Math.Round(rank, 2) == rankIndexStraightFlush + Constants.QUEEN_VAL / 100d;
if (isQueenHighStraightFlush)
{
if (CurrentRound == Rounds.isFlop)
{
chanceRoyalFlush = (2d / CardsLeft) * (1d / (CardsLeft - 1));
}
else
{
chanceRoyalFlush = 0;
}
}
else if (isKingHighStraightFlush)
{
if (CurrentRound == Rounds.isFlop)
{
//(chance getting the ace first, anything else second) + (chance getting anything else first, the ace second)
chanceRoyalFlush = (1d / CardsLeft) + ((CardsLeft - 1d) / CardsLeft) * (1d / (CardsLeft - 1));
}
else
{
chanceRoyalFlush = 1d / CardsLeft;
}
}
//if my hand is a royal flush
else if (isRoyalFlush)
{
chanceRoyalFlush = 1;
return(new ProbabilityViewModel {
RoyalFlush = chanceRoyalFlush
});
}
chanceStraightFlush = 1;
return(new ProbabilityViewModel {
StraightFlush = chanceStraightFlush, RoyalFlush = chanceRoyalFlush
});
}
//FLUSH, STRAIGHT, AND STRAIGHT FLUSH POSSIBILITY----------------------------
//getRank already called checkForStraight
//equals null if there is no four card flush
string myFourFlushSuit = myHand.FourFlushSuit;
//IF THERE IS A 4 FLUSH SUIT, THERE IS A 3 FLUSH SUIT
string myThreeFlushSuit = myHand.ThreeFlushSuit;
Debug.WriteLine("four flush suit: " + myFourFlushSuit);
Debug.WriteLine("three flush suit: " + myThreeFlushSuit);
MyHand my4FlushHand = null;
MyHand my3FlushHand = null;
if (myThreeFlushSuit != null)
{
List <string> myThreeFlushCards = myHand.GetFlushCards(myThreeFlushSuit);
my3FlushHand = new MyHand(myThreeFlushCards);
my3FlushHand.CheckForStraight();
}
if (myFourFlushSuit != null)
{
List <string> myFourFlushCards = myHand.GetFlushCards(myFourFlushSuit);
//create new hand with just 4 flush cards, check if 4 cards present in straight
my4FlushHand = new MyHand(myFourFlushCards);
my4FlushHand.CheckForStraight();
}
bool isLowerThanFlush = MyHand.IsMyPokerHandLower(rank, PokerHand.FLUSH);
bool isLowerThanStraight = MyHand.IsMyPokerHandLower(rank, PokerHand.STRAIGHT);
//chance for flush
if (isLowerThanFlush)
{
chanceFlush = this.GetFlushChancesOnTurnAndRiver(myHand, myFourFlushSuit, myThreeFlushSuit);
}
//CHANCE FOR STRAIGHT
if (isLowerThanStraight)
{
chanceStraight = this.GetStraightChancesOnTurnAndRiver(myHand);
}
//CHANCE FOR STRAIGHT FLUSH
//works for if I have a flush already too (my4FlushHand can have 4+ cards in it)
if (my4FlushHand != null && my4FlushHand.Is4AlmostStraight)
{
//STRAIGHT FLUSH IS POSSIBLE
Debug.WriteLine("poss straight flush");
//ROYAL FLUSH POSSIBILITY
if (my4FlushHand.Is4AlmostHighStraight)
{
Debug.WriteLine("poss royal flush");
if (CurrentRound == Rounds.isFlop)
{
chanceRoyalFlush = 1d / CardsLeft * 2;
}
else
{
chanceRoyalFlush = 1d / CardsLeft;
}
}
//check if there is possible Royal Flush w 3 of the 5 poss cards
else if (CurrentRound == Rounds.isFlop &&
my4FlushHand.Is3AlmostHighStraight)
{
Debug.WriteLine("is3almosthighstraight with a 4+ card flush (also is almost straight flush)");
chanceRoyalFlush = 2d / CardsLeft * 1d / (CardsLeft - 1);
}
//STRAIGHT FLUSH POSSIBILITY: chance with 2 possible cards to finish straight flush
if (my4FlushHand.NumberOfPossStraightsWithMy4Cards == 2)
{
if (CurrentRound == Rounds.isFlop)
{
chanceStraightFlush = 2d / CardsLeft + (CardsLeft - 2d) / CardsLeft * 2d / (CardsLeft - 1);
}
else
{
chanceStraightFlush = 2d / CardsLeft;
}
}
//chance with 1 possible card to finish straight flush
else
{ //only 1 possible 4straight
if (CurrentRound == Rounds.isFlop)
{
if (my4FlushHand.Is3AlmostStraight)
{
//chance of completing the 4 straight + chance of completing the 3 straight
chanceStraightFlush = (1d / CardsLeft * 2) + 2d / CardsLeft * 1d / (CardsLeft - 1);
}
else
{
chanceStraightFlush = 1d / CardsLeft + (CardsLeft - 1d) / CardsLeft * 1d / (CardsLeft - 1);
}
}
else
{
chanceStraightFlush = 1d / CardsLeft;
}
}
}
//3+ flush hand is 3almost straight during flop round
else if (my3FlushHand != null && my3FlushHand.Is3AlmostStraight &&
CurrentRound == Rounds.isFlop)
{
Debug.WriteLine("is3almosthighstraight " + my3FlushHand.Is3AlmostHighStraight);
if (my3FlushHand.NumberOfPossStraightsWithMy3Cards >= 3)
{
Debug.WriteLine("3 or more diff poss straight flushes");
//both cards must straight.
//first card has 2 poss ranks to make 4 in a row, then 2 poss ranks for 2nd card +
//first card has 2 poss ranks to make 4 in poss straight (with gap), then 1 poss rank (gap card)
// 2/47 * 2/46 + 2/47 * 1/46
chanceStraightFlush = 2d / CardsLeft * 2d / (CardsLeft - 1) + 2d / CardsLeft * 1d / (CardsLeft - 1);
}
else if (my3FlushHand.NumberOfPossStraightsWithMy3Cards == 2)
{
Debug.WriteLine("2 diff poss straight flushes");
//1 poss rank for 4 in a row (the gap), then 2 poss ranks (2 ways this can happen)
// 1/47 * 2/46 * 2
chanceStraightFlush = 1d / CardsLeft * 2d / (CardsLeft - 1) * 2;
}
else if (my3FlushHand.NumberOfPossStraightsWithMy3Cards == 1)
{
Debug.WriteLine("1 poss straight flush");
//2 poss ranks then 1 poss rank
// 2/47 * 1/46
chanceStraightFlush = 2d / CardsLeft * 1d / (CardsLeft - 1);
}
if (my3FlushHand.Is3AlmostHighStraight)
{
Debug.WriteLine("is3almosthighstraight!!!!!!!!");
chanceRoyalFlush = 2d / CardsLeft * 1d / (CardsLeft - 1);
}
}
else
{
//there are not 4 of 5 straight flush cards present
chanceStraightFlush = 0;
chanceRoyalFlush = 0;
}
var vm = new ProbabilityViewModel
(chanceHighCard, chancePair, chanceTwoPair, chanceThreeKind,
chanceStraight, chanceFlush, chanceFullHouse,
chanceFourKind, chanceStraightFlush, chanceRoyalFlush);
return(vm);
}