Game odds

Posted by umerblackeagle on September 27th, 2010

Now here aresome game odds regarding different card games.  

Remember:
Pluses sign increase your odds of winning,
minuses sign decrease them.

Blackjack Rule: Double Exposure

Description: the cards are dealt face up,including the dealer's cards.

Effect on Odds          +8.80 %

Blackjack Rule: Blackjack Pays 2:1

Description: Normally blackjack pays 3:2, whichmeans you win $15 for a $10 bet. When blackjack pays 2:1, you win $20 for a $10bet. Good rule.

Effect on Odds          +2.27 %

Blackjack Rule: Five Card Charlie

 Description:player having 5 cards totaling 21 or less automatically beats anything except adealer blackjack, even if the dealer has a higher total.

Effect on Odds          +1.46 %

Blackjack Rule: Suited Blackjack Pays 2:1

Description: Normally blackjack pays 3:2, whichmeans you win $15 for a $10 bet. When blackjack pays 2:1, you win $20 for a $10bet. Suited blackjack means of the same suit.

Effect on Odds          +.57 %

 BlackjackRule: 21 Wins

Description: A player's hand totaling 21automatically wins.

Effect on Odds          +.54 %

Blackjack Rule: ESR - Early Surrender (Dealer Upcard = Ace)

Description: the option to give up withoutplaying your hand before the dealer checks for blackjack. You lose half of yourbet.

Effect on Odds          +.39%

Blackjack Rule: Player Wins Blackjack Ties

Description: When the dealer and player both haveblackjack, the player wins.

Effect on Odds          +.30 %

FactorsThat Influence Bingo Odds of Winning

The Bingo odds of winning depend insomeone the number of cards that are played at any given time. No two playerswill get the same score, if the cards are very versatile; it is because of purechance if they do win together. In Bingo, numbers are drawn until someone wins,and this is why having different cards is a must.

The number of players is another factor that influences Bingo odds.Unlike games such as poker, the more players there are, the less the chance isfor winning. If there are 100 players, then the Bingo odds to win are 1 in a100. If, on the other hand, there are 1,000 players, the odds are 1 in a 1,000.However, the prize for less crowded games is smaller too, so you need to makethe decision between prize size and Bingo odds. Another factor that thatinfluence is the number of Bingo cards also influences the winning odds. Themore Bingo cards you play the better you?re winning Bingo odds are.

Frequency of 7-cardpoker hands.

In some popular variations of poker, a player uses the best five-card pokerhand out of seven cards. The frequencies are calculated in a manner similar tothat shown for 5-card hands, except additional complications arise due to theextra two cards in the 7-card poker hand. The total number of distinct 7-cardhands is 133,784,560.It is notable that the probability of a probability of a one-pair or two-pairhand is greater than the probability of no-pair hand.

The royal flush is notincluded in the cumulative probability calculation because it is a type ofstraight flush. The Ace-high straight flush or royal flush is slightly morefrequent (4324) than the lower straight flushes (4140 each) because theremaining two cards can have any value; a King-high straight flush, forexample, cannot have the Ace of its suit in the hand.

Note that the entire tables given below have frequencies exact, theprobabilities and odds are approximate.

Hand

Frequency

Probability

Cumulative

Odds

Straight flush

41,584

0.0311%

0.0311%

3,216 : 1

(Royal flush)

4,324

0.0032%

---

30,939 : 1

Four of a kind

224,848

0.168%

0.199%

594 : 1

Full house

3,473,184

2.60%

2.80%

37.5 : 1

Flush

4,047,644

3.03%

5.82%

32.1 : 1

Straight

6,180,020

4.62%

10.4%

20.6 : 1

Three of a kind

6,461,620

4.83%

15.3%

19.7 : 1

Two pair

31,433,400

23.5%

38.8%

3.26 : 1

One pair

58,627,800

43.8%

82.6%

1.28 : 1

No pair

23,294,460

17.4%

100%

4.74 : 1

Total

133,784,560

100%

100%

0 : 1

Since suits have no relative value in poker, two hands can be consideredidentical if one hand can be transformed into the other by swapping suits.Eliminating identical hands that ignore relative suit values leaves 6,009,159distinct 7-card hands.

Frequency of 5-cardlowball poker hands.

Some variants of poker, called lowball, use a low hand to determine the winning hand. In most variants of lowball,the ace is counted as the lowest card and straights and flushes don't countagainst a low hand, so the lowest hand is the five-high hand A-2-3-4-5, also called a wheel. The probability is calculatedto be equal to 2,598,960,the total number of 5-card combinations.

Hand

Distinct hands

Frequency

Probability

Cumulative

Odds

5-high

1

1,024

0.0394%

0.0394%

2,537.05 : 1

6-high

5

5,120

0.197%

0.236%

506.61 : 1

7-high

15

15,360

0.591%

0.827%

168.20 : 1

8-high

35

35,840

1.38%

2.21%

71.52 : 1

9-high

70

71,680

2.76%

4.96%

35.26 : 1

10-high

126

129,024

4.96%

9.93%

19.14 : 1

Jack-high

210

215,040

8.27%

18.2%

11.09 : 1

Queen-high

330

337,920

13.0%

31.2%

6.69 : 1

King-high

495

506,880

19.5%

50.7%

4.13 : 1

Total

1,287

1,317,888

50.7%

50.7%

0.97 : 1

Frequency of 7-cardlowball poker hands.

The probability is calculated to be 133,784,560 ,the total number of 7-card combinations.

Hand

Frequency

Probability

Cumulative

Odds

5-high

781,824

0.584%

0.584%

170.12 : 1

6-high

3,151,360

2.36%

2.94%

41.45 : 1

7-high

7,426,560

5.55%

8.49%

17.01 : 1

8-high

13,171,200

9.85%

18.3%

9.16 : 1

9-high

19,174,400

14.3%

32.7%

5.98 : 1

10-high

23,675,904

17.7%

50.4%

4.65 : 1

Jack-high

24,837,120

18.6%

68.9%

4.39 : 1

Queen-high

21,457,920

16.0%

85.0%

5.23 : 1

King-high

13,939,200

10.4%

95.4%

8.60 : 1

Total

127,615,488

95.4%

95.4%

0.05 : 1

 

 



umerblackeagle

About the Author

umerblackeagle
Joined: September 27th, 2010
Articles Posted: 10

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