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Resources & Downloads => Mathematics => Topic started by: MrJ on Jul 17, 03:52 PM 2010

Title: House advantage for most casino games
Post by: MrJ on Jul 17, 03:52 PM 2010
House Advantages for Popular Casino Games.
 
Roulette (double-zero) 5.3%
Craps (pass/come) 1.4%
Craps (pass/come with double odds) 0.6%
Blackjack - average player 2.0%
Blackjack - 6 decks, basic strategy* 0.5%
Blackjack - single deck, basic strategy* 0.0%
Baccarat (no tie bets) 1.2%
Caribbean Stud* 5.2%
Let It Ride* 3.5%
Three Card Poker* 3.4%
Pai Gow Poker (ante/play)* 2.5%
Slots 5% - 10%
Video Poker*  0.5% - 3%
Keno (average) 27.0%

*Optimal Strategy



House Advantages for Major Casino Wagers. Game Bet HA*

Baccarat  Banker (5% commission)  1.06%
Baccarat  Player  1.24%
Big Six Wheel  Average  19.84%
Blackjack  Card-Counting  -1.00%
Blackjack  Basic Strategy  0.50%
Blackjack  Average player  2.00%
Blackjack  Poor Player  4.00%
Caribbean Stud  Ante  5.22%
Casino War  Basic Bet  2.88%
Craps  Any Craps  11.11%
Craps  Any Seven  16.67%
Craps  Big 6, Big 8  9.09%
Craps Buy (any)  4.76%
Craps  C&E  11.11%
Craps don't pass/Don't Come  1.36%
Craps don't pass/Don't Come w/1X Odds  0.68%
Craps don't pass/Don't Come w/2X Odds  0.45%
Craps don't pass/Don't Come w/3X Odds  0.34%
Craps  don't pass/Don't Come w/5X Odds  0.23%
Craps  don't pass/Don't Come w/10X Odds  0.12%
Craps  Don't Place 4 or 10 3.03%
Craps  Don't Place 5 or 9  2.50%
Craps  Don't Place 6 or 8  1.82%
Craps Field (2 and 12 pay double)  5.56%
Craps Field (2 or 12 pays triple)  2.78%
Craps  Hard 4, Hard 10  11.11%
Craps  Hard 6, Hard 8  9.09%
Craps  Hop Bet - easy (14-1)  16.67%
Craps Hop Bet - easy (15-1)  11.11%
Craps  Hop Bet - hard (29-1)  16.67%
Craps Hop Bet - hard (30-1)  13.89%
Craps  Horn Bet (30-1 & 15-1)  12.50%
Craps  Horn High - any (29-1 & 14-1)  16.67%
Craps  Horn High 2, Horn High 12 (30-1 & 15-1)  12.78%
Craps  Horn High 3, Horn High 11 (30-1 & 15-1)  12.22%
Craps  Lay 4 or 10  2.44%
Craps  Lay 5 or 9  3.23%
Craps Lay 6 or 8  4.00%
Craps  Pass/Come  1.41%
Craps  Pass/Come w/1X Odds  0.85%
Craps  Pass/Come w/2X Odds  0.61%
Craps Pass/Come w/3X Odds  0.47%
Craps  Pass/Come w/5X Odds  0.33%
Craps  Pass/Come w/10X Odds  0.18%
Craps Place 4 or 10  6.67%
Craps Place 5 or 9  4.00%
Craps Place 6 or 8  1.52%
Craps  Three, Eleven (14-1)  16.67%
Craps  Three, Eleven (15-1)  11.11%
Craps  Two, Twelve (29-1)  16.67%
Craps Two, Twelve (30-1)  13.89%
Keno Typical 27.00%
Let It Ride Base bet  3.51%
Pai Gow  Poker Skilled player (non-banker)  2.54%
Pai Gow Poker  Average player (non-banker)  2.84%
Red Dog Basic bet (six decks) 2.80%
Roulette  Single-zero  2.70%
Roulette  Double-zero (except five-number)  5.26%
Roulette  Double-zero, five-number bet  7.89%
Sic Bo  Big/Small  2.78%
Sic Bo  One of a Kind  7.87%
Sic Bo  7, 14  9.72%
Sic Bo 8, 13  12.50%
Sic Bo  10, 11  12.50%
Sic Bo  Any three of a kind  13.89%
Sic Bo  5, 16  13.89%
Sic Bo  4, 17  15.28%
Sic Bo  Three of a kind  16.20%
Sic Bo  Two-dice combination  16.67%
Sic Bo 6, 15  16.67%
Sic Bo  Two of a kind  18.52%
Sic Bo  9, 12  18.98%
Slots  Dollar Slots (good)  4.00%
Slots  Quarter Slots (good)  5.00%
Slots  Dollar Slots (average)  6.00%
Slots  Quarter Slots (average)  8.00%
Sports Betting  Bet $11 to Win $10  4.55%
Three Card Poker  Pair Plus  2.32%
Three Card Poker  Ante  3.37%
Video Poker  Selected Machines -0.50%


*House Advantages under typical conditions, expressed "per hand" and including ties, where appropriate. Optimal strategy assumed unless otherwise noted.