| |
Mathematics of Blackjack Discussion
Answers
Posted By: Norm Wattenberger In Response To: 6 Deck, betting question (Lori)
Date: Thursday, 11 April 2002, at 8:39 p.m.
For the ratio of +3 to +5 TCs, see www.bjstats.com.
Your RoR is 1.7%, DI is 7.53 and SCORE is 56.64. Win Rate is $25.22 assuming 100 hands/hour.
Yes you can optimize the bets. For those specs, with an 8:1 spread, bet:
TC +2 - 2x50
TC +3 - 2x75
TC +4 - 2x100
TC +5 - 2x125
TC +6 - 2x150
TC +7 - 2x200This would give you an RoR of 11.7%, DI is 7.99, SCORE is 63.87 & Win Rate of $53.62.
The below table provides the optimal bets for each TC along with the Win Rate in units, RoR with a $9,000 bankroll and the DI for various penetrations stated in cards after the cut card for Hi-Lo, Ill18, Two hands, Wong in at +2, DAS, RSA, Six decks:
Cards <=-1 0 1 2 3 4 5 6 7 8 9 >=10 Risk W/R DI 26 75 100 125 175 200 250 275 325 400 18.3% 3.59 12.98 27 75 100 125 175 200 250 275 325 400 18.4% 3.51 12.83 28 75 100 125 175 200 250 275 325 400 18.4% 3.44 12.68 29 75 100 125 175 200 250 275 325 400 18.5% 3.36 12.53 30 75 100 125 175 200 250 275 325 400 18.5% 3.30 12.40 31 75 100 125 175 225 250 275 325 400 18.9% 3.27 12.27 32 75 100 125 175 225 250 300 325 400 19.4% 3.25 12.14 33 75 100 125 175 225 250 300 325 400 19.5% 3.19 12.01 34 75 100 125 175 225 250 300 325 400 19.7% 3.14 11.87 35 75 100 150 175 225 250 300 325 400 20.6% 3.15 11.75 36 75 100 150 175 225 250 300 350 400 20.8% 3.12 11.63 37 75 100 150 175 225 275 300 350 400 21.2% 3.09 11.52 38 75 100 150 175 225 275 300 350 400 21.3% 3.04 11.40 39 75 100 150 175 225 275 300 350 400 21.4% 2.99 11.29 40 75 100 150 175 225 275 300 350 400 21.4% 2.94 11.19 41 75 100 150 200 225 275 325 350 400 22.3% 2.96 11.08 42 25 50 75 100 125 150 150 175 200 4.9% 2.87 10.96 43 25 50 75 100 125 150 150 175 200 4.9% 2.82 10.87 44 25 50 75 100 125 150 175 200 200 5.3% 2.85 10.76 45 25 50 75 100 125 150 175 200 200 5.4% 2.80 10.64 46 25 50 75 100 125 150 175 200 200 5.4% 2.76 10.55 47 25 50 75 100 125 150 175 200 200 5.5% 2.71 10.44 48 50 50 75 100 125 150 175 200 200 6.4% 2.81 10.33 49 50 50 75 100 125 150 175 200 200 6.4% 2.76 10.24 50 50 50 75 100 125 150 175 200 200 6.5% 2.72 10.15 51 50 50 75 100 125 150 175 200 200 6.5% 2.67 10.06 52 50 50 75 100 125 150 175 200 200 6.5% 2.63 9.97 53 50 50 75 100 125 150 175 200 200 6.5% 2.59 9.89 54 50 50 75 100 125 150 175 200 200 6.6% 2.54 9.79 55 50 50 75 100 125 150 175 200 200 6.5% 2.50 9.72 56 50 50 75 125 125 150 175 200 200 7.2% 2.53 9.60 57 50 50 75 125 150 175 200 200 200 8.3% 2.63 9.51 58 50 50 75 125 150 175 200 200 200 8.4% 2.60 9.44 59 50 50 75 125 150 175 200 200 200 8.5% 2.56 9.36 60 50 75 100 125 150 175 200 200 200 10.3% 2.75 9.29 61 50 75 100 125 150 175 200 200 200 10.4% 2.71 9.22 62 50 75 100 125 150 175 200 200 200 10.5% 2.67 9.14 63 50 75 100 125 150 175 200 200 200 10.5% 2.63 9.06 64 50 75 100 125 150 175 200 200 200 10.6% 2.59 8.97 65 50 75 100 125 150 175 200 200 200 10.7% 2.56 8.90 66 50 75 100 125 150 175 200 200 200 10.7% 2.52 8.83 67 50 75 100 125 150 175 200 200 200 10.7% 2.48 8.76 68 50 75 100 125 150 175 200 200 200 10.8% 2.45 8.69 69 50 75 100 125 150 175 200 200 200 10.8% 2.41 8.62 70 50 75 100 125 150 175 200 200 200 10.9% 2.37 8.54 71 50 75 100 125 150 175 200 200 200 10.9% 2.34 8.48 72 50 75 100 125 150 175 200 200 200 11.0% 2.31 8.42 73 50 75 100 125 150 175 200 200 200 11.0% 2.28 8.36 74 50 75 100 125 150 175 200 200 200 11.1% 2.25 8.29 75 50 75 100 125 150 175 200 200 200 11.1% 2.22 8.22 76 50 75 100 125 150 200 200 200 200 11.5% 2.21 8.14 77 50 75 100 125 150 200 200 200 200 11.6% 2.18 8.07 78 50 75 100 125 150 200 200 200 200 11.7% 2.14 7.99 79 50 75 100 125 150 200 200 200 200 11.7% 2.12 7.94 80 50 75 100 125 150 200 200 200 200 11.7% 2.09 7.88 81 50 75 100 125 175 200 200 200 200 12.3% 2.10 7.81 82 50 75 100 125 175 200 200 200 200 12.3% 2.07 7.74 83 50 75 100 125 175 200 200 200 200 12.4% 2.03 7.68 84 50 75 100 150 175 200 200 200 200 13.3% 2.07 7.60 85 50 75 100 150 175 200 200 200 200 13.4% 2.04 7.53 86 50 75 100 150 175 200 200 200 200 13.5% 2.01 7.48 87 50 75 100 150 175 200 200 200 200 13.5% 1.98 7.42 88 50 75 100 150 175 200 200 200 200 13.6% 1.96 7.37 89 50 75 100 150 175 200 200 200 200 13.6% 1.93 7.31 90 50 75 100 150 175 200 200 200 200 13.7% 1.90 7.24 91 50 75 100 150 175 200 200 200 200 13.7% 1.88 7.19 92 50 75 100 150 175 200 200 200 200 13.8% 1.85 7.12 93 50 75 100 150 175 200 200 200 200 13.9% 1.82 7.05 94 50 75 100 150 175 200 200 200 200 13.9% 1.79 7.01 95 50 75 125 150 175 200 200 200 200 15.4% 1.86 6.93 96 50 75 125 150 175 200 200 200 200 15.5% 1.83 6.88 97 50 75 125 150 175 200 200 200 200 15.5% 1.80 6.83 98 50 75 125 150 175 200 200 200 200 15.6% 1.78 6.77 99 50 75 125 150 200 200 200 200 200 16.2% 1.79 6.72 100 50 75 125 150 200 200 200 200 200 16.3% 1.76 6.66 101 50 75 125 150 200 200 200 200 200 16.3% 1.74 6.62 102 50 75 125 150 200 200 200 200 200 16.3% 1.71 6.57 103 50 75 125 150 200 200 200 200 200 16.3% 1.69 6.52 104 50 75 125 150 200 200 200 200 200 16.3% 1.66 6.47 Produced by Casino Vérité CVCX