Casino Gaming for the Mathematically Inclined

All games are not created equal. In some games the house edge should rightly keep you from even trying. But which games come close to a level playing field? If you are going to play, at least have a fighting chance.An overview of casino gaming.

Learn how to play several casino games.
Learn how to play smartly to avoid some really bad math.
What kind of house advantage is built in against you?
How much "homework" must you do to get ready?
Which games are entirely luck, and where can you maybe gain an edge?

Video thorough to the Craps section = https://www.youtube.com/watch?v=GXKJpDAsip8
Original Conference Entry = https://tprc2024.sched.com/event/1dGra/casino-gaming-for-the-mathematically-inclined

Transcript

1. Casino Gaming for the Mathematically Inclined R Geoffrey Avery The Perl and Raku Conference
2. 2 “Mega casinos are not built by winners”
3. 3 “Because the house always wins. Play long enough, you never change the stakes, the house takes you. Unless, when that perfect hand comes along, you bet big, and then you take the house.” - Danny Ocean
4. 4 You can avoid bad math You can still have fun May make some money Or at least lose slower
5. 5 Casino Basics
6. 6 When in Rome... • The eye in the sky is always watching, don’t look suspicious • Casino chips go on the table, drinks go on the shelf under • Don’t take the cards, dice, or other items out of the field of play • Roulette chips are different and don’t leave the table • Watch a table for a few minutes before you play • Never hand cash to dealer, place on table they will convert to chips • When done you can “color up” to convert to fewer high value chips
7. 7 Know what you are playing • Know the table minimum and maximum • Make sure the table is the flavor of the game you prepared for • Blackjack comes in 2^7 * 3^2 * 6 = 6912 flavors • Craps odds range from double to 20X, but 3-4-5X is now common
8. 8 Don’t be foolish • Never make a bet if you don’t know the possible outcomes • Don’t bet money you can’t afford to lose • Look for games with a low house edge • Bet in whole numbers, don’t let your win get rounded down • ATMs in casinos have a fee
9. 9 Join the Player Club • Each casino has a frequent bettor club • Put your card in the machine to track your play, counts your bets • Put your card on the table when you sit down to get “rated”. Usually related to time at table * average bet. • Earn “comps”. Food, beverages, rooms, free play, free parking, etc
10. 10 IRS Entanglements • Win big and you will get a W-2G • $1200 at slots • $5000 in poker tournament • $600 other things with a win over 300 times original bet • You may be able to deduct losses, if you keep good records and itemize • irs.gov/taxtopics/tc419 - Gambling income and losses • Check with your tax professional as needed
11. 11 Disclaimers • I am not a practicing mathematician, but I did play one in college • Calculations have been cross checked with https://wizardofodds.com/ • House Edge + Expected Return = 100% • Individual bets can go in either direction, make enough bets and the average returns to the expected result • “8 to 1” == “8:1” == “9 for 1” == bet 1 to collect 9 if you win
12. 12 Roulette
13. 13 Roulette American roulette CC-BY-SA-3.0 0 00 1 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 00 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2 European roulette CC-BY-SA-3.0 1 0 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2 • Payouts would be fair without greens 0 00 1/37 2/38 1/37 1/19 2.70% 5.26%
14. 14 Now with 000 American roulette CC-BY-SA-3.0 0 00 1 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 00 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2 European roulette CC-BY-SA-3.0 1 0 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2 • Some casinos now have 000 wheels 0 00 000 1/37 2/38 3/39 1/37 1/19 1/13 2.70% 5.26% 7.69%
15. 15 Straight Up (1) and Split (2) • Bet a single number • Split a bet on two adjacent numbers Table Winners Losers Payout Bet Collect House Edge 0 1 36 35 to 1 1 36 2.70% 00 1 37 35 to 1 1 36 5.26% 0 2 35 17 to 1 1 18 2.70% 00 2 36 17 to 1 1 18 5.26% American roulette CC-BY-SA-3.0 0 00 1 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 00 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2
16. 16 Street / Trio / Row (3) and Corner (4) • Street is a row or 3 • Also 3 winners with greens • Corner is block of 4 Table Winners Losers Payout Bet Collect House Edge 0 3 34 11 to 1 1 12 2.70% 00 3 35 11 to 1 1 12 5.26% 0 4 33 8 to 1 1 9 2.70% 00 4 34 8 to 1 1 9 5.26% American roulette CC-BY-SA-3.0 0 00 1 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 00 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2
17. 17 Top Line (4/5) and Double Street / Line (6) • Top line is the only bet where the odds change • 00 Top Line 5 winners should really payout at 6.6 to 1 Table Winners Losers Payout Bet Collect House Edge 0 4 33 8 to 1 1 9 2.70% 00 5 33 6 to 1 1 7 7.89% 0 6 31 5 to 1 1 6 2.70% 00 6 32 5 to 1 1 6 5.26% American roulette CC-BY-SA-3.0 0 00 1 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 00 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2
18. 18 Outside Bets • Dozens and Columns • Even money bets • Red v Black • Odd v Even • 1-18 v 19-36 Table Winners Losers Payout Bet Collect House Edge 0 12 25 2 to 1 1 3 2.70% 00 12 26 2 to 1 1 3 5.26% 0 18 19 1 to 1 1 2 2.70% 00 18 20 1 to 1 1 2 5.26% American roulette CC-BY-SA-3.0 0 00 1 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 00 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2
19. 19 Surrender (rarely offered) • Atlantic City ? • Only lose half even money bet if 0 or 00 comes up Table Winners Losers Payout Bet Collect House Edge 0 18 19 1 to 1 1 2 1.35% 00 18 20 1 to 1 1 2 2.63% American roulette CC-BY-SA-3.0 0 00 1 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 00 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2
20. 20 En Prison (rarely offered) • If 0 happens on even money, it is locked up • Next spin, get money back if you “win” Table Winners Losers Payout Bet Collect House Edge 0 18 19 1 to 1 1 2 1.35% European roulette CC-BY-SA-3.0 1 0 2 3 4 6 5 7 8 9 10 12 11 13 14 15 16 18 17 19 20 21 22 24 23 25 26 27 28 30 29 31 32 33 34 36 35 2-1 2-1 2-1 1st 12 2nd 12 3rd 12 1-18 Even Odd 19-36 Red Black 0 28 26 30 11 7 20 32 17 5 22 34 15 3 24 9 36 13 1 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2
21. 21 Roulette Scorecard House edge 2.70% 0 5.26% 00 Homework None Decisions to make Just pick number(s) Can gain advantage No Should you play? Surrender/En Prison - Sure 0 - Maybe 00 - If you must
22. 22 Baccarat
23. 23 Baccarat • Bet on Player, Banker, or Tie • A = 1 • 2-9 = face value • 10-K = 0 • Add cards % 10 • Dealt two cards, may get a third • 8 decks of 52
24. 24 Baccarat Play • Either have a natural 8 or 9 we are done • Player may hit for a third card • Banker third card depends on Player third card • High score wins Either have 8 or 9 Player and Banker Each get two cards Yes Resolve Winners No Player 0 - 5 Banker 0 - 5 Player hits Banker hits Yes Yes No No Banker’s Total P l a y e r e r T h i r d C a r d 0 1 2 3 4 5 6 7 9 H H H H 8 H H H 7 H H H H H H H 6 H H H H H H H 5 H H H H H H 4 H H H H H H 3 H H H H H 2 H H H H H 1 H H H H 0 H H H H
25. 25 Baccarat by the Numbers • Banker win has a 5% commission • Push on a tie • Be sure to hold enough chips to pay your commissions Bet Player Bet Banker Bet Tie Payout 1 to 1 19 to 20 8 to 1 Bet 20 20 20 Collect Player Win 40 Collect Banker Win 39 Collect Tie 20 20 180 House Edge 1.24% 1.06% 14.36%
26. 26 James Bond and Baccarat • Most people only know the game from the movies • That is not the Baccarat we know today • Bond played Chemin de Fer, a now rarely found variant • Shoe moves around like the Dealer button in Texas Holdem • Banker bankrolls the banker hand vs a player • Initial cards dealt face down, which is why banker only uses the player’s third card to decide to hit in modern game • More flexibility about taking the third card
27. 27 Baccarat Scorecard House edge 1.06% Banker 1.24% Player Homework None Decisions to make Banker or Player Can gain advantage No Should you play? If you didn’t do your homework, good bet Often high table minimum
28. 28 Blackjack
29. 29 Blackjack • Most popular game • Start with 2 cards • A is 1 or 11 • 2-9 face value • 10-K is 10 • 10+A is Blackjack and pays 3 to 2 • 1 – 8 decks of 52
30. 30 Before Player • Insurance is optional, the Wizard say don’t do it • Some places (Europe) don’t peek Dealer shows A Each player gets 2 cards, Dealer gets 1 up 1 hidden Player’s Hand No Bet up to half For insurance Accept Insurance Dealer shows A or 10 Dealer peeks Dealer has Blackjack Insurance wins Players lose, Except BJ push Yes No No No Yes Yes Yes
31. 31 Player Hand • Always follow basic strategy • Surrender if dealer looks likely to win • Split if good pair • Double when a single card can be really good • Hit when needed Surrender Player has 2 cards Dealer’s Hand No Split pair Bust, > 21 Double bet Get one card Hit for one more card Done Recover half Yes No No, Stand Yes, Hit Yes Double Down Bust, > 21 Lose Yes No No No Yes Double bet Play 2 hands Yes
32. 32 Dealer Hand • *Soft 17 hit varies with table • Dealer bust over 21 • *Blackjack (A&10) pays 3 to 2 usually but varies with table Dealer < 17* Dealer hit one more card Win even Dealer flips hole card Tied Bust, > 21 Dealer hit one more card Compare Lose Push Player Blackjack Win Blackjack* Yes Yes Yes Player Higher Dealer Higher No No No
33. 33 Flavors of Blackjack • 2^7 * 3^2 * 6 = 6912 • Even the worst version better than 0 Roulette • Smart play on a great table is player positive Number of decks of cards used 1 2,4,5,6 8 Dealer hits or stands on a soft 17 Stands Hits Player can double after a split Yes No Player can double on Any 2 cards 9-11 only 10-11 only Player can resplit to 4 3 2 Player can resplit aces Yes No Player can hit split aces Yes No Player loses only original bet against dealer BJ Yes No Surrender rule Late None Blackjack pays 3 to 2 6 to 5 House Edge with optimal results -0.37292% 2.46688% House Edge basic strategy with cut card -0.22122% 2.48278% Edge basic strategy with continuous shuffler -0.33422% 2.46878% wizardofodds.com/games/blackjack/calculator/
34. 34 Basic Strategy • 2^3 * 3^2 = 72 • Still many choices, all slightly different Decks 1 2 4 or more Soft 17 Dealer Stands Dealer Hits Double after Split Allowed Not Allowed Surrender Not Allowed Any dealer upcard (late) Dealer 2 – 10 (early) Dealer peek Dealer peeks No peak (European) wizardofodds.com/games/blackjack/strategy/calculator
35. 35 Cheat Sheet 1
36. 36 Cheat Sheet 2
37. 37 Card Counting • An overly simplified explanation, but now you know what to look for when you do your own research • +1 for 2 – 6 / 0 for 7 – 9 / -1 for 10 – A • Running Count / remaining decks = True Count • Positive count is rich in remaining 10 – A and favor player • Still follow basic strategy for the right flavor • Modify strategy based on the current True Count • Counting is hard and you are probably not as good as you think
38. 38 Blackjack Scorecard House edge -0.33% – 2.4% possible 0.3% - 1.0% more reasonable Homework Memorize the right chart Find table to match Decisions to make Many Can gain advantage Yes Should you play? If you do your homework this is an excellent game, even better if counting
39. 39 Craps
40. 40 “An expert crap player is akin to an expert cigarette smoker.” - Peter Griffin, author ‘Theory of Blackjack’
41. 41 Craps PASS LINE 4 5 8 10 SIX NINE COME FIELD 2 12 PASS LINE 6 8 Don’t Come Bar Don’t Pass Bar Don’t Pass Bar 10 to 1 8 to 1 10 to 1 8 to 1 16 to 1 31 to 1 31 to 1 16 to 1 16 to 1 E C E E E E E E C C C C C C B I G 8 to 1 ANY CRAPS 8 to 1 5 to 1 SEVEN 5 to 1 • 3 • 4 • 9 • 10 • 11 • • Some of the best bets in a casino • And some really bad bets too • Shooter rolls 2 dice until they “seven out” • Dice must touch the far wall on roll
42. 42 Where Your Chips Go PASS LINE 4 5 8 10 SIX NINE COME FIELD 2 12 PASS LINE 6 8 Don’t Come Bar Don’t Pass Bar Don’t Pass Bar 10 to 1 8 to 1 10 to 1 8 to 1 16 to 1 31 to 1 31 to 1 16 to 1 16 to 1 E C E E E E E E C C C C C C B I G 8 to 1 ANY CRAPS 8 to 1 5 to 1 SEVEN 5 to 1 • 3 • 4 • 9 • 10 • 11 • • Pass Line right in front of you • Odds between you and Pass Line • Otherwise your spot on table is related to your spot around table
43. 43 Where You Touch Your Chips PASS LINE 4 5 8 10 SIX NINE COME FIELD 2 12 PASS LINE 6 8 Don’t Come Bar Don’t Pass Bar Don’t Pass Bar 10 to 1 8 to 1 10 to 1 8 to 1 16 to 1 31 to 1 31 to 1 16 to 1 16 to 1 E C E E E E E E C C C C C C B I G 8 to 1 ANY CRAPS 8 to 1 5 to 1 SEVEN 5 to 1 • 3 • 4 • 9 • 10 • 11 • • Put your chips in the rectangle for Pass, Don’t Pass, Field and Come • Toss your chips in the direction of the ovals and tell the dealers what you want for anything else
44. 44 Pass Line with Odds • Shooter goes until they seven out • Simple on come out roll • Can take odds when there is a point • Odds bets have no house edge, best bet in a casino Come out Roll Natural Win even money Craps Lose Establish point Take odds Roll Seven Out Pass Dice Start Over Lose Win even money & true odds Go again 7,11 2,3,12 4,5,6,8,9,10 Anything Else Make point 7 Bet Passline
45. 45 Don’t Pass with Odds • The Dark Side • Betting against the shooter • Almost everything* reversed • * 12 on a come out roll is a push and you get the money back Come out Roll Natural Lose Craps* Win even money Establish point Lay odds Roll Seven Out Pass Dice Start Over Lose Win even money & true odds Go again 7,11 2,3 4,5,6,8,9,10 Anything Else Make point 7 Push 12 Bet Don’t Pass
46. 46 Craps by the Numbers 2 3 4 5 6 7 8 9 10 11 12 Counts 1 2 3 4 5 6 5 4 3 2 1 Rolls 1-1 1-2 2-1 1-3 2-2 3-1 1-4 2-3 3-2 4-1 1-5 2-4 3-3 4-2 5-1 1-6 2-5 3-4 4-3 5-2 6-1 2-6 3-5 4-4 5-3 6-2 3-6 4-5 5-4 6-3 4-6 5-5 6-4 5-6 6-5 6-6 Natural Seven Yo Craps Snake Eyes Three Box Cars Odds 6:3 2:1 6:4 3:2 6:5 6:5 6:4 3:2 6:3 2:1 Place 9:5 7:5 7:6 7:6 7:5 9:5 Place HE 6.67% 4.00% 1.52% 1.52% 4.00% 6.67%
47. 47 Play more than the Pass and Odds PASS LINE 4 5 8 10 SIX NINE COME FIELD 2 12 PASS LINE 6 8 Don’t Come Bar Don’t Pass Bar Don’t Pass Bar 10 to 1 8 to 1 10 to 1 8 to 1 16 to 1 31 to 1 31 to 1 16 to 1 16 to 1 E C E E E E E E C C C C C C B I G 8 to 1 ANY CRAPS 8 to 1 5 to 1 SEVEN 5 to 1 • 3 • 4 • 9 • 10 • 11 • • Come is like Pass but moves to box • Place is directly on number, lower payout • Middle of table terrible odds
48. 48 All bets not equal Payout Bet Win Collect House Edge Big 6 / 8 1 to 1 60 60 120 9.09% Pass / Come 1 to 1 10 10 20 1.41% Odds 6 to 5 50 60 110 0.00% Pass + 5x Odds 60 70 130 0.32% Place 6 / 8 7 to 6 60 70 130 1.52%
49. 49 Dice setting Hard way set Easiest to set More protection against 7s 3-V Dice Set Favors 6 and 8 Some protection against 7s 2-V Dice Set Favors 4 and 10 Some protection against 7s See controlledcraps.com/dice-setting for full explanation
50. 50 Craps Scorecard House edge Pass / Come = 1.41% Pass + 5x Odds = 0.32% Place 6/8 = 1.52% Don’t Pass / Come = 1.40% Others = 5.56% – 16.67% Homework Minimal More practice than study if you try set the dice Decisions to make How many numbers play at once? Can gain advantage Do you believe in dice setting? Stick to the good bets and take maximum odds Should you play? The odds bets are the best bet in the building
51. 51 Pai Gow Tiles
52. 52 Pai Gow Tiles Pair 1 - Gee June Wild and swapable Pair 2 - Teen Wong= 12 or 2 + 9 Pair 3 - Day Gong= 12 or 2 + 8 Pair 4 Yun Pair 5 Gor Pair 6 Mooy Pair 7 Chong Pair 8 Bon Pair 9 Foo Pair 10 Ping Pair 11 Tit Pair 12 Look Pair 13 Chop Gow Pair 14 Chop Bot Pair 15 Chop Chit Pair 16 Chop Ng
53. 53 Pair strength • Pairs from Gee Joon down to Chop Ng • Wong = (12 or 2) and 9 • Gong = (12 or 2) and 8 • (Tile 1 + Tile 2) % 10 like baccarat • 1-2 & 2-4 of Gee Joon wild and swapable • First tie breaker is strength of high tile in pair • A single Gee Joon tile is weakest and never your high tile • Banker wins pair if still tied • Win both pairs win even money – 5% commission
54. 54 Other considerations • “Banker” moves around the table to let each player take a turn • House edge much lower when you are banking, but can be expensive to play against everyone • Each casino has a “house way” to set their tiles, all slightly off from an optimal way • Clever programmers might like the challenge to find a better way to split tiles
55. 55 Example Splits 5 9 3 Wong 6 8 Left Center Right
56. 56 Example Splits Probabilities 5 9 3 Wong 6 8 Win 5,608 Win 2,602 Win 5,722 Push 10,131 Push 14,740 Push 8,243 Lose 4,736 Lose 3,133 Lose 6,510 Return 2.8894% Return -3.2288% Return -5.2459%
57. 57 Pai Gow Tiles Scorecard House edge 0.0694% when banking 1.8824% when not banking 0.9761% combined average Homework Complicated pairing to memorize Decisions to make Split your 4 tiles into high pair and low pair Only 3 ways to arrange 4 tiles into pairs Can gain advantage Can minimize losses Be the bank when you can Should you play? 41% pushes makes bankroll last longer If you can learn the right way, a good game
58. 58 Video Poker
59. 59 Video Poker • Note max coins pays extra on Royal Flush • Focus on full house and flush • This is a “7/5 Jacks or Better” machine • 9/6 is considered “full pay”
60. 60 Video Poker Scorecard House edge -0.3% – 8% Homework Pick the right machine Play correctly Decisions to make Cards to draw Can gain advantage Some full pay games are positive expectation Should you play? If you do your homework
61. 61 Sportsbook
62. 62 WNBA Example • Atlanta Dream favored to win by 7.5 points • Combined score projected at 155.5 • Lines with half points avoid pushes Spread Total Moneyline WAS Mystics +7.5 -110 O 155.5 -110 +280 ATL Dream -7.5 -110 U 155.5 -110 -355
63. 63 WNBA Example • Atlanta Dream favored to win by 7.5 points • Combined score projected at 155.5 • Moneyline bets have the spread built into the price • Pay -# to win 100 • Pay 100 to win +# Spread Total Moneyline WAS Mystics +7.5 -110 O 155.5 -110 +280 Underdog ATL Dream -7.5 -110 U 155.5 -110 -355 Favorite What you believe Bet Win Collect Mystics win (or lose by < 7.5) 110 100 210 Dream win by at least 7.5 points 110 100 210 Take the over Total score > 155.5 110 100 210 Take the under Total score < 155.5 110 100 210 Mystics win 100 280 380 Dream win 355 100 455
64. 64 Other types of bets • Parlays, play multiple unrelated bets, must will all for a big payout • Teasers, can get better odds, but at the price of a lower payout • Futures, a thing way in the future, like your team to win the Superbowl, picked in June. This year payouts range from +575 for Chiefs and 49ers to +25,000 for Panthers • Many other types of bets • Duration of the national anthem • Winner of a coin toss • ...
65. 65 Sportsbook Scorecard House edge Variable Nominally 1/11 or 9.09% Homework Line may vary and change by sportsbook and time Quality of teams, injury list, etc. Decisions to make So many choices of what to bet on Can gain advantage Do you know something about game? Do you believe the line to be skewed? Should you play? Maybe
66. 66 Thank you • Bet responsibly and know when to say when • Play where the house edge is low • Avoid bad math • Video through to craps section at youtube.com/watch?v=GXKJpDAsip8
67. 67 Bonus Slides Craps Rigged Demo
68. 68 Craps Rigged Demo 0 of 16 • We are going to play on $10 minimum 5x odds craps table • Initial bankroll $500 • We just got the dice and it is our come out roll • Play the Pass Line and Come bets with full odds • Sometimes Place a bet on the 6 or 8 • House edge 1.41 % for a main bet • House edge 0.32% main bet mixed with the odds • House edge 1.52% for the Place bets on 6 or 8
69. 69 Craps Rigged Demo 1 of 16
70. 70 Craps Rigged Demo 2 of 16
71. 71 Craps Rigged Demo 3 of 16
72. 72 Craps Rigged Demo 4 of 16
73. 73 Craps Rigged Demo 5 of 16
74. 74 Craps Rigged Demo 6 of 16
75. 75 Craps Rigged Demo 7 of 16
76. 76 Craps Rigged Demo 8 of 16
77. 77 Craps Rigged Demo 9 of 16
78. 78 Craps Rigged Demo 10 of 16
79. 79 Craps Rigged Demo 11 of 16
80. 80 Craps Rigged Demo 12 of 16
81. 81 Craps Rigged Demo 13 of 16
82. 82 Craps Rigged Demo 14 of 16
83. 83 Craps Rigged Demo 15 of 16
84. 84 Craps Rigged Demo 16 of 16
85. 85 Some light reading • 888casino.com/blog/roulette-strategy-guide/how-to-play-roulette • lolcraps.com/craps/dictionary • video-poker-coach.com/video-poker-guides/full-pay-video-poker • videopoker.com/learn/pay_tables • letsgambleusa.com/online-casino/video-poker/pay-tables
86. 86 Practice your strategies • wizardofodds.com/play/baccarat • wizardofodds.com/play/blackjack • wizardofodds.com/play/craps/v2 • wizardofodds.com/play/pai-gow-tiles
87. 87 Photo Credits Slide Creator Source 7 Ryan Hiebendahl pexels.com/photo/paris-las-vegas-hotel-at-night-9686075 8 Pavel Danilyuk pexels.com/photo/a-game-of-roulette-with-gambling-chips-7594179 12 Pavel Danilyuk pexels.com/photo/chip-bets-on-the-table-7594223 28 englishlikeanative pixabay.com/photos/cards-dealer-black-jack-casino-bet-1437776 29 eGamingImagery pixabay.com/photos/cards-casino-betting-gamble-6391136 39 Lisa Brewster openverse.org/image/33824c3f-4087-4624-9dd1-67275657443c?q=craps 51 sashimikid openverse.org/image/d9059482-d3c6-4c00-bde3-1fc4113fda93?q=pai%20gow
88. 88 WikiMedia Photo Credits European_roulette Er_Pai (1-3) Zha_jiu2 (3-6) American_roulette Mei_hua (5-5) Zha_jiu1 (4-5) Craps_table_layout Chang_San (3-3) Zha_ba2 (2-6) Xiao_ji (1-2) Pai_Gow_Example_B (2-2) Zha_ba1 (3-5) Da_tou_liu (2-4) Fu_tou (5-6) Zha_qi2 (2-5) Tian (6-6) Hong_tou (4-6) Zha_qi1 (3-4) Di_Pai2 (1-1) Gao_jiao_qi (1-6) Zha_wu1 (1-4) Pai_Gow_Example_A (4-4) Lin_lin_liu (1-5) Zha_wu2 (2-3) If you can’t use link, paste name into https://commons.wikimedia.org/w/index.php?search