# Discount Gambling

## PlayCraps Example Session with Counting

Posted in Uncategorized by stephenhow on August 27, 2009

I thought I’d post a thorough description of how to play the PlayCraps game at Viejas, including how to account for the shuffle, using a fair-weighted counts for all the points.

First, here’s the value of each roll, and how it contributes to the counts for each point.

Point ΔCount
4 +4 if both cards ≤ 3, -4 if both cards ≥ 4, else 0
5 +2 if no Fives or Sixes, -1 if one Five or Six, -4 if two Fives/Sixes
6 +1 if no Sixes, -2 if one Six, -4 if boxcars
8 +1 if no Aces, -2 if one Ace, -4 if snake-eyes
9 +2 if no Ace or Deuce, -1 if one Ace or Deuce, -4 if two Aces/Deuces
10 +4 if both cards ≥ 4, -4 if both cards ≤ 3, else 0

Ideally, you’ll keep a count for each point. Of course, this is hard to do. I just wait for the point to come out, then I try to guess if I saw any key cards lately, and make up an initial count for the point. Then I adjust the count for each roll as in the above table. It’s very easy while the muck accumulates. Then, when the dealer shuffles the muck into the CSM, I keep counting as normal, for about 5 rolls (approx. buffer depth). After these five rolls, I start the count again, based on a guess of what’s in the muck.

simulated session with annotations after the jump!
``` ```

[Session started at 2009-08-27 15:23:20 -0700.]

rolls: 5.00e+02, max muck depth: 20, CSM buffer depth: 10

… shuffle …

game #0:

roll (3, 3) –> 6

point is 6

count:  1, odds:  0x

roll (3, 2) –> 5

count:  2, odds:  0x

roll (1, 2) –> 3

count:  3, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +1.0

game #1:

roll (2, 3) –> 5

point is 5

count:  7, odds:  1x           <——-

roll (2, 3) –> 5

pass line winner, don’ts away

outcome: -2.5, net: -1.5

game #2:

roll (5, 6) –> 11

pass line winner, don’ts away

outcome: -1.0, net: -2.5

game #3:

roll (3, 4) –> 7

pass line winner, don’ts away

outcome: -1.0, net: -3.5

game #4:

roll (6, 5) –> 11

pass line winner, don’ts away

outcome: -1.0, net: -4.5

game #5:

roll (1, 5) –> 6

point is 6

count:  4, odds:  1x           <——-

… shuffle …

roll (4, 6) –> 10

count:  2, odds:  0x

roll (1, 3) –> 4

count:  3, odds:  0x

roll (6, 3) –> 9

count:  1, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: -3.5

game #6:

roll (1, 6) –> 7

pass line winner, don’ts away

outcome: -1.0, net: -4.5

game #7:

roll (2, 1) –> 3

craps, pay the DC

outcome: +1.0, net: -3.5

game #8:

roll (6, 2) –> 8

point is 8

count: -2, odds:  0x

roll (6, 3) –> 9

count: -1, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: -2.5

game #9:

roll (1, 4) –> 5

point is 5

count: -1, odds:  0x

… shuffle …

roll (6, 6) –> 12

count: -5, odds:  0x

roll (6, 4) –> 10

count: -6, odds:  0x

roll (4, 6) –> 10

count: -7, odds:  0x

roll (4, 6) –> 10

count: -8, odds:  0x

roll (5, 3) –> 8

count: -9, odds:  0x

roll (3, 2) –> 5

pass line winner, don’ts away

outcome: -1.0, net: -3.5

game #10:

roll (2, 3) –> 5

point is 5

count: -4, odds:  0x

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +1.0, net: -2.5

game #11:

roll (2, 3) –> 5

point is 5

count: -3, odds:  0x

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +1.0, net: -1.5

… shuffle …

game #12:

roll (6, 3) –> 9

point is 9

count: 10, odds:  2x           <————

roll (6, 6) –> 12

count: 12, odds:  3x           <—————–

roll (6, 4) –> 10

count: 14, odds:  3x           <—————–

roll (3, 5) –> 8

count: 16, odds:  4x           <———————-

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +5.0, net: +3.5

game #13:

roll (4, 2) –> 6

point is 6

count: -8, odds:  0x

roll (6, 6) –> 12

count: -12, odds:  0x

roll (2, 2) –> 4

count: -11, odds:  0x

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +4.5

game #14:

roll (2, 4) –> 6

point is 6

count: -9, odds:  0x

… shuffle …

roll (1, 1) –> 2

count: -8, odds:  0x

roll (3, 6) –> 9

count: -10, odds:  0x

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +5.5

game #15:

roll (3, 3) –> 6

point is 6

count: -8, odds:  0x

roll (4, 1) –> 5

count: -7, odds:  0x

roll (2, 1) –> 3

count:  3, odds:  0x

roll (3, 1) –> 4

count:  4, odds:  1x           <——-

roll (2, 1) –> 3

count:  5, odds:  1x           <——-

roll (1, 4) –> 5

count:  6, odds:  1x           <——-

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +7.5

… shuffle …

game #16:

roll (5, 4) –> 9

point is 9

count: -8, odds:  0x

roll (6, 2) –> 8

count: -9, odds:  0x

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +8.5

game #17:

roll (4, 4) –> 8

point is 8

count: -9, odds:  0x

roll (6, 3) –> 9

count: -8, odds:  0x

roll (5, 4) –> 9

count:  3, odds:  0x

roll (6, 1) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +9.5

game #18:

roll (5, 4) –> 9

point is 9

count:  7, odds:  1x           <——-

roll (2, 2) –> 4

count:  3, odds:  0x

roll (1, 1) –> 2

count: -1, odds:  0x

… shuffle …

roll (3, 2) –> 5

count: -2, odds:  0x

roll (6, 3) –> 9

pass line winner, don’ts away

outcome: -1.0, net: +8.5

game #19:

roll (2, 6) –> 8

point is 8

count:  2, odds:  0x

roll (5, 1) –> 6

count:  0, odds:  0x

roll (6, 5) –> 11

count:  1, odds:  0x

roll (1, 1) –> 2

count: -2, odds:  0x

roll (5, 3) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +7.5

game #20:

roll (2, 4) –> 6

point is 6

count: -1, odds:  0x

roll (1, 4) –> 5

count:  0, odds:  0x

roll (3, 5) –> 8

count:  1, odds:  0x

… shuffle …

roll (3, 2) –> 5

count:  2, odds:  0x

roll (4, 6) –> 10

count:  0, odds:  0x

roll (5, 5) –> 10

count:  1, odds:  0x

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +8.5

game #21:

roll (2, 4) –> 6

point is 6

count:  3, odds:  0x

roll (6, 4) –> 10

count:  0, odds:  0x

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +9.5

game #22:

roll (4, 4) –> 8

point is 8

count:  8, odds:  2x           <————

roll (2, 6) –> 8

pass line winner, don’ts away

outcome: -3.4, net: +6.1

game #23:

roll (4, 2) –> 6

point is 6

count:  1, odds:  0x

… shuffle …

roll (4, 6) –> 10

count: -1, odds:  0x

roll (3, 6) –> 9

count: -3, odds:  0x

roll (6, 5) –> 11

count: -5, odds:  0x

roll (2, 2) –> 4

count: -4, odds:  0x

roll (1, 3) –> 4

count: -3, odds:  0x

roll (1, 3) –> 4

count: -3, odds:  0x

roll (3, 3) –> 6

pass line winner, don’ts away

outcome: -1.0, net: +5.1

game #24:

roll (2, 3) –> 5

point is 5

count:  4, odds:  1x           <——-

roll (1, 4) –> 5

pass line winner, don’ts away

outcome: -2.5, net: +2.6

game #25:

roll (4, 2) –> 6

point is 6

count:  1, odds:  0x

… shuffle …

roll (3, 6) –> 9

count: -1, odds:  0x

roll (3, 3) –> 6

pass line winner, don’ts away

outcome: -1.0, net: +1.6

game #26:

roll (5, 2) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +0.6

game #27:

roll (4, 3) –> 7

pass line winner, don’ts away

outcome: -1.0, net: -0.4

game #28:

roll (1, 2) –> 3

craps, pay the DC

outcome: +1.0, net: +0.6

game #29:

roll (1, 5) –> 6

point is 6

count:  3, odds:  0x

roll (6, 3) –> 9

count:  1, odds:  0x

roll (5, 6) –> 11

count: -1, odds:  0x

roll (6, 4) –> 10

count: -3, odds:  0x

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +1.6

… shuffle …

game #30:

roll (2, 5) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +0.6

game #31:

roll (1, 6) –> 7

pass line winner, don’ts away

outcome: -1.0, net: -0.4

game #32:

roll (3, 1) –> 4

point is 4

count:  4, odds:  1x           <——-

roll (4, 4) –> 8

count:  0, odds:  0x

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +0.6

game #33:

roll (1, 1) –> 2

craps, pay the DC

outcome: +1.0, net: +1.6

game #34:

roll (5, 1) –> 6

point is 6

count:  1, odds:  0x

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +2.6

game #35:

roll (1, 3) –> 4

point is 4

count:  8, odds:  2x           <————

roll (6, 6) –> 12

count:  4, odds:  1x           <——-

… shuffle …

roll (2, 6) –> 8

count:  4, odds:  1x           <——-

roll (2, 6) –> 8

count:  4, odds:  1x           <——-

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +4.6

game #36:

roll (4, 4) –> 8

point is 8

count: -6, odds:  0x

roll (2, 1) –> 3

count: -8, odds:  0x

roll (3, 5) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +3.6

game #37:

roll (4, 4) –> 8

point is 8

count:  4, odds:  1x           <——-

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +5.6

game #38:

roll (6, 2) –> 8

point is 8

count:  3, odds:  0x

roll (2, 4) –> 6

count:  4, odds:  1x           <——-

… shuffle …

roll (1, 3) –> 4

count:  2, odds:  0x

roll (2, 1) –> 3

count:  0, odds:  0x

roll (5, 3) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +4.6

game #39:

roll (3, 1) –> 4

point is 4

count:  8, odds:  2x           <————

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +3.0, net: +7.6

game #40:

roll (1, 1) –> 2

craps, pay the DC

outcome: +1.0, net: +8.6

game #41:

roll (6, 1) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +7.6

game #42:

roll (3, 6) –> 9

point is 9

count: -5, odds:  0x

roll (5, 3) –> 8

count: -3, odds:  0x

roll (6, 5) –> 11

count: -1, odds:  0x

… shuffle …

roll (2, 2) –> 4

count: -5, odds:  0x

roll (6, 2) –> 8

count: -6, odds:  0x

roll (5, 4) –> 9

pass line winner, don’ts away

outcome: -1.0, net: +6.6

game #43:

roll (2, 1) –> 3

craps, pay the DC

outcome: +1.0, net: +7.6

game #44:

roll (4, 4) –> 8

point is 8

count: -5, odds:  0x

roll (1, 3) –> 4

count:  0, odds:  0x

roll (6, 3) –> 9

count:  1, odds:  0x

roll (6, 1) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +8.6

game #45:

roll (5, 5) –> 10

point is 10

count:  0, odds:  0x

roll (2, 1) –> 3

count: -4, odds:  0x

… shuffle …

roll (1, 3) –> 4

count: -8, odds:  0x

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +9.6

game #46:

roll (3, 4) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +8.6

game #47:

roll (5, 4) –> 9

point is 9

count: -2, odds:  0x

roll (3, 1) –> 4

count: -3, odds:  0x

roll (2, 4) –> 6

count:  3, odds:  0x

roll (6, 3) –> 9

pass line winner, don’ts away

outcome: -1.0, net: +7.6

game #48:

roll (5, 1) –> 6

point is 6

count:  5, odds:  1x           <——-

roll (6, 2) –> 8

count:  3, odds:  0x

roll (3, 1) –> 4

count:  4, odds:  1x           <——-

… shuffle …

roll (6, 4) –> 10

count:  2, odds:  0x

roll (3, 2) –> 5

count:  3, odds:  0x

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +8.6

game #49:

roll (5, 4) –> 9

point is 9

count:  7, odds:  1x           <——-

roll (4, 6) –> 10

count:  9, odds:  2x           <————

roll (5, 3) –> 8

count:  9, odds:  2x           <————

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +3.0, net: +11.6

game #50:

roll (1, 1) –> 2

craps, pay the DC

outcome: +1.0, net: +12.6

game #51:

roll (2, 1) –> 3

craps, pay the DC

outcome: +1.0, net: +13.6

game #52:

roll (4, 1) –> 5

point is 5

count:  5, odds:  1x           <——-

… shuffle …

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +15.6

game #53:

roll (3, 3) –> 6

point is 6

count:  0, odds:  0x

roll (4, 2) –> 6

pass line winner, don’ts away

outcome: -1.0, net: +14.6

game #54:

roll (5, 1) –> 6

point is 6

count:  2, odds:  0x

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +15.6

game #55:

roll (5, 4) –> 9

point is 9

count:  3, odds:  0x

roll (1, 5) –> 6

count:  2, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +16.6

game #56:

roll (2, 3) –> 5

point is 5

count:  3, odds:  0x

roll (2, 4) –> 6

count:  5, odds:  1x           <——-

… shuffle …

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +18.6

game #57:

roll (4, 2) –> 6

point is 6

count:  9, odds:  2x           <————

roll (2, 3) –> 5

count: 10, odds:  2x           <————

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +3.0, net: +21.6

game #58:

roll (5, 1) –> 6

point is 6

count: 12, odds:  3x           <—————–

roll (1, 3) –> 4

count:  6, odds:  1x           <——-

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +23.6

game #59:

roll (2, 5) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +22.6

game #60:

roll (1, 5) –> 6

point is 6

count:  9, odds:  2x           <————

roll (5, 4) –> 9

count: 10, odds:  2x           <————

… shuffle …

roll (2, 1) –> 3

count: 11, odds:  2x           <————

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +3.0, net: +25.6

game #61:

roll (6, 1) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +24.6

game #62:

roll (2, 4) –> 6

point is 6

count: 11, odds:  2x           <————

roll (3, 3) –> 6

pass line winner, don’ts away

outcome: -3.4, net: +21.2

game #63:

roll (1, 5) –> 6

point is 6

count:  3, odds:  0x

roll (5, 5) –> 10

count:  4, odds:  1x           <——-

roll (1, 2) –> 3

count:  5, odds:  1x           <——-

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +23.2

game #64:

roll (3, 4) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +22.2

… shuffle …

game #65:

roll (1, 1) –> 2

craps, pay the DC

outcome: +1.0, net: +23.2

game #66:

roll (6, 3) –> 9

point is 9

count: -6, odds:  0x

roll (4, 5) –> 9

pass line winner, don’ts away

outcome: -1.0, net: +22.2

game #67:

roll (1, 5) –> 6

point is 6

count:  8, odds:  2x           <————

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +3.0, net: +25.2

game #68:

roll (1, 6) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +24.2

game #69:

roll (1, 2) –> 3

craps, pay the DC

outcome: +1.0, net: +25.2

game #70:

roll (4, 4) –> 8

point is 8

count: -6, odds:  0x

roll (3, 2) –> 5

count: -5, odds:  0x

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +26.2

… shuffle …

game #71:

roll (2, 3) –> 5

point is 5

count:  7, odds:  1x           <——-

roll (5, 5) –> 10

count:  3, odds:  0x

roll (2, 1) –> 3

count:  5, odds:  1x           <——-

roll (6, 2) –> 8

count:  4, odds:  1x           <——-

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +28.2

game #72:

roll (1, 6) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +27.2

game #73:

roll (2, 5) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +26.2

game #74:

roll (5, 3) –> 8

point is 8

count:  2, odds:  0x

roll (2, 6) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +25.2

game #75:

roll (5, 6) –> 11

pass line winner, don’ts away

outcome: -1.0, net: +24.2

… shuffle …

game #76:

roll (2, 1) –> 3

craps, pay the DC

outcome: +1.0, net: +25.2

game #77:

roll (4, 4) –> 8

point is 8

count:  3, odds:  0x

roll (3, 1) –> 4

count:  1, odds:  0x

roll (5, 4) –> 9

count:  2, odds:  0x

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +26.2

game #78:

roll (3, 5) –> 8

point is 8

count:  0, odds:  0x

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +27.2

game #79:

roll (2, 5) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +26.2

game #80:

roll (6, 2) –> 8

point is 8

count:  3, odds:  0x

roll (4, 2) –> 6

count:  4, odds:  1x           <——-

… shuffle …

roll (3, 1) –> 4

count:  2, odds:  0x

roll (4, 5) –> 9

count:  3, odds:  0x

roll (5, 1) –> 6

count:  1, odds:  0x

roll (3, 3) –> 6

count:  2, odds:  0x

roll (1, 3) –> 4

count:  0, odds:  0x

roll (5, 3) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +25.2

game #81:

roll (5, 6) –> 11

pass line winner, don’ts away

outcome: -1.0, net: +24.2

game #82:

roll (5, 5) –> 10

point is 10

count:  0, odds:  0x

roll (3, 5) –> 8

count:  0, odds:  0x

roll (3, 3) –> 6

count: -4, odds:  0x

… shuffle …

roll (3, 3) –> 6

count: -8, odds:  0x

roll (2, 3) –> 5

count: -12, odds:  0x

roll (4, 4) –> 8

count: -8, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +25.2

game #83:

roll (6, 6) –> 12

boxcards, bar the DC

game #84:

roll (1, 5) –> 6

point is 6

count:  1, odds:  0x

roll (4, 6) –> 10

count: -1, odds:  0x

roll (4, 1) –> 5

count:  0, odds:  0x

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +26.2

game #85:

roll (5, 3) –> 8

point is 8

count:  4, odds:  1x           <——-

… shuffle …

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +28.2

game #86:

roll (2, 4) –> 6

point is 6

count:  4, odds:  1x           <——-

roll (5, 4) –> 9

count:  5, odds:  1x           <——-

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +30.2

game #87:

roll (2, 3) –> 5

point is 5

count:  3, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +31.2

game #88:

roll (6, 6) –> 12

boxcards, bar the DC

game #89:

roll (2, 3) –> 5

point is 5

count: -2, odds:  0x

roll (6, 3) –> 9

count: -3, odds:  0x

roll (5, 5) –> 10

count: -7, odds:  0x

… shuffle …

roll (6, 3) –> 9

count: -8, odds:  0x

roll (2, 3) –> 5

pass line winner, don’ts away

outcome: -1.0, net: +30.2

game #90:

roll (6, 5) –> 11

pass line winner, don’ts away

outcome: -1.0, net: +29.2

game #91:

roll (6, 5) –> 11

pass line winner, don’ts away

outcome: -1.0, net: +28.2

game #92:

roll (1, 4) –> 5

point is 5

count: -12, odds:  0x

roll (1, 2) –> 3

count: -3, odds:  0x

roll (2, 2) –> 4

count: -1, odds:  0x

roll (1, 5) –> 6

count: -2, odds:  0x

roll (6, 3) –> 9

count: -3, odds:  0x

roll (6, 5) –> 11

count: -7, odds:  0x

… shuffle …

roll (3, 2) –> 5

pass line winner, don’ts away

outcome: -1.0, net: +27.2

game #93:

roll (1, 3) –> 4

point is 4

count:  8, odds:  2x           <————

roll (2, 4) –> 6

count:  8, odds:  2x           <————

roll (1, 3) –> 4

pass line winner, don’ts away

outcome: -5.0, net: +22.2

game #94:

roll (5, 5) –> 10

point is 10

count: -8, odds:  0x

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +23.2

game #95:

roll (1, 6) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +22.2

game #96:

roll (4, 6) –> 10

point is 10

count: -4, odds:  0x

roll (4, 5) –> 9

count:  0, odds:  0x

roll (6, 3) –> 9

count:  0, odds:  0x

… shuffle …

roll (6, 5) –> 11

count:  4, odds:  1x           <——-

roll (6, 1) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +24.2

game #97:

roll (5, 5) –> 10

point is 10

count:  8, odds:  2x           <————

roll (6, 3) –> 9

count:  8, odds:  2x           <————

roll (3, 2) –> 5

count:  4, odds:  1x           <——-

roll (5, 5) –> 10

pass line winner, don’ts away

outcome: -3.0, net: +21.2

game #98:

roll (4, 1) –> 5

point is 5

count: -10, odds:  0x

roll (2, 4) –> 6

count: -8, odds:  0x

roll (4, 6) –> 10

count: -9, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +22.2

… shuffle …

game #99:

roll (3, 3) –> 6

point is 6

count: -1, odds:  0x

roll (6, 2) –> 8

count: -3, odds:  0x

roll (3, 5) –> 8

count: -2, odds:  0x

roll (1, 1) –> 2

count: -1, odds:  0x

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +23.2

game #100:

roll (3, 6) –> 9

point is 9

count:  3, odds:  0x

roll (5, 5) –> 10

count:  5, odds:  1x           <——-

roll (3, 6) –> 9

pass line winner, don’ts away

outcome: -2.5, net: +20.7

game #101:

roll (3, 5) –> 8

point is 8

count:  4, odds:  1x           <——-

roll (5, 3) –> 8

pass line winner, don’ts away

outcome: -2.2, net: +18.5

… shuffle …

game #102:

roll (1, 6) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +17.5

game #103:

roll (2, 4) –> 6

point is 6

count:  0, odds:  0x

roll (1, 3) –> 4

count:  1, odds:  0x

roll (1, 2) –> 3

count:  2, odds:  0x

roll (4, 5) –> 9

count:  3, odds:  0x

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +18.5

game #104:

roll (3, 5) –> 8

point is 8

count: -2, odds:  0x

roll (6, 4) –> 10

count: -1, odds:  0x

roll (4, 5) –> 9

count:  0, odds:  0x

roll (6, 2) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +17.5

… shuffle …

game #105:

roll (3, 5) –> 8

point is 8

count:  2, odds:  0x

roll (3, 5) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +16.5

game #106:

roll (2, 5) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +15.5

game #107:

roll (4, 5) –> 9

point is 9

count:  4, odds:  1x           <——-

roll (2, 2) –> 4

count:  0, odds:  0x

roll (2, 1) –> 3

count: -3, odds:  0x

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +16.5

game #108:

roll (1, 1) –> 2

craps, pay the DC

outcome: +1.0, net: +17.5

game #109:

roll (4, 6) –> 10

point is 10

count: -4, odds:  0x

roll (4, 1) –> 5

count: -4, odds:  0x

… shuffle …

roll (3, 6) –> 9

count: -4, odds:  0x

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +18.5

game #110:

roll (3, 6) –> 9

point is 9

count: -4, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +19.5

game #111:

roll (6, 4) –> 10

point is 10

count:  0, odds:  0x

roll (4, 2) –> 6

count:  4, odds:  1x           <——-

roll (6, 6) –> 12

count:  8, odds:  2x           <————

roll (4, 5) –> 9

count: 12, odds:  3x           <—————–

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +4.0, net: +23.5

game #112:

roll (4, 4) –> 8

point is 8

count:  7, odds:  1x           <——-

… shuffle …

roll (3, 2) –> 5

count:  8, odds:  2x           <————

roll (6, 6) –> 12

count:  9, odds:  2x           <————

roll (5, 4) –> 9

count: 10, odds:  2x           <————

roll (4, 1) –> 5

count:  8, odds:  2x           <————

roll (3, 1) –> 4

count:  6, odds:  1x           <——-

roll (3, 4) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +25.5

game #113:

roll (4, 5) –> 9

point is 9

count:  5, odds:  1x           <——-

roll (2, 4) –> 6

count:  4, odds:  1x           <——-

roll (6, 6) –> 12

count:  6, odds:  1x           <——-

roll (2, 1) –> 3

count:  2, odds:  0x

… shuffle …

roll (2, 2) –> 4

count: -2, odds:  0x

roll (6, 1) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +26.5

game #114:

roll (6, 4) –> 10

point is 10

count:  4, odds:  1x           <——-

roll (1, 5) –> 6

count:  4, odds:  1x           <——-

roll (2, 1) –> 3

count:  0, odds:  0x

roll (1, 4) –> 5

count: -4, odds:  0x

roll (6, 2) –> 8

count: -4, odds:  0x

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +27.5

game #115:

roll (1, 4) –> 5

point is 5

count:  3, odds:  0x

roll (6, 5) –> 11

count: -1, odds:  0x

… shuffle …

roll (5, 5) –> 10

count: -5, odds:  0x

roll (5, 1) –> 6

count: -6, odds:  0x

roll (6, 3) –> 9

count: -7, odds:  0x

roll (2, 1) –> 3

count: -5, odds:  0x

roll (1, 1) –> 2

count: -3, odds:  0x

roll (2, 3) –> 5

pass line winner, don’ts away

outcome: -1.0, net: +26.5

game #116:

roll (4, 4) –> 8

point is 8

count: -4, odds:  0x

roll (3, 2) –> 5

count: -3, odds:  0x

roll (1, 4) –> 5

count: -5, odds:  0x

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +27.5

… shuffle …

game #117:

roll (4, 5) –> 9

point is 9

count: -5, odds:  0x

roll (6, 6) –> 12

count: -3, odds:  0x

roll (4, 1) –> 5

count: -4, odds:  0x

roll (6, 4) –> 10

count: -2, odds:  0x

roll (5, 6) –> 11

count:  0, odds:  0x

roll (4, 6) –> 10

count:  9, odds:  2x           <————

roll (2, 3) –> 5

count:  8, odds:  2x           <————

roll (5, 4) –> 9

pass line winner, don’ts away

outcome: -4.0, net: +23.5

game #118:

roll (3, 2) –> 5

point is 5

count: -6, odds:  0x

roll (1, 1) –> 2

count: -4, odds:  0x

… shuffle …

roll (1, 3) –> 4

count: -2, odds:  0x

roll (3, 2) –> 5

pass line winner, don’ts away

outcome: -1.0, net: +22.5

game #119:

roll (3, 2) –> 5

point is 5

count:  2, odds:  0x

roll (5, 1) –> 6

count:  1, odds:  0x

roll (5, 5) –> 10

count: -3, odds:  0x

roll (2, 6) –> 8

count:  0, odds:  0x

roll (6, 2) –> 8

count: -1, odds:  0x

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +23.5

game #120:

roll (6, 1) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +22.5

game #121:

roll (3, 6) –> 9

point is 9

count: -4, odds:  0x

… shuffle …

roll (2, 3) –> 5

count: -5, odds:  0x

roll (2, 4) –> 6

count: -6, odds:  0x

roll (4, 1) –> 5

count: -7, odds:  0x

roll (3, 2) –> 5

count: -8, odds:  0x

roll (2, 3) –> 5

count: -9, odds:  0x

roll (5, 5) –> 10

count: -3, odds:  0x

roll (6, 6) –> 12

count: -1, odds:  0x

roll (4, 6) –> 10

count:  1, odds:  0x

roll (2, 2) –> 4

count: -3, odds:  0x

roll (5, 5) –> 10

count: -1, odds:  0x

… shuffle …

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +23.5

game #122:

roll (2, 6) –> 8

point is 8

count:  9, odds:  2x           <————

roll (6, 3) –> 9

count: 10, odds:  2x           <————

roll (5, 1) –> 6

count:  8, odds:  2x           <————

roll (4, 1) –> 5

count:  6, odds:  1x           <——-

roll (2, 2) –> 4

count:  0, odds:  0x

roll (2, 6) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +22.5

game #123:

roll (3, 1) –> 4

point is 4

count:  8, odds:  2x           <————

roll (1, 5) –> 6

count:  8, odds:  2x           <————

roll (1, 3) –> 4

pass line winner, don’ts away

outcome: -5.0, net: +17.5

… shuffle …

game #124:

roll (3, 1) –> 4

point is 4

count: 16, odds:  4x           <———————-

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +5.0, net: +22.5

game #125:

roll (6, 2) –> 8

point is 8

count: -5, odds:  0x

roll (1, 6) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +23.5

game #126:

roll (4, 3) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +22.5

game #127:

roll (4, 5) –> 9

point is 9

count:  0, odds:  0x

roll (1, 2) –> 3

count: -4, odds:  0x

roll (2, 2) –> 4

count: -8, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +23.5

game #128:

roll (1, 1) –> 2

craps, pay the DC

outcome: +1.0, net: +24.5

… shuffle …

game #129:

roll (5, 1) –> 6

point is 6

count:  5, odds:  1x           <——-

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +26.5

game #130:

roll (3, 1) –> 4

point is 4

count: 16, odds:  4x           <———————-

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +5.0, net: +31.5

game #131:

roll (5, 2) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +30.5

game #132:

roll (3, 2) –> 5

point is 5

count:  0, odds:  0x

roll (1, 2) –> 3

count:  2, odds:  0x

roll (4, 4) –> 8

count:  4, odds:  1x           <——-

roll (5, 6) –> 11

count:  0, odds:  0x

roll (1, 3) –> 4

count:  2, odds:  0x

… shuffle …

roll (1, 1) –> 2

count:  4, odds:  1x           <——-

roll (2, 3) –> 5

pass line winner, don’ts away

outcome: -2.5, net: +28.0

game #133:

roll (6, 1) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +27.0

game #134:

roll (1, 3) –> 4

point is 4

count: 20, odds:  5x           <—————————

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +6.0, net: +33.0

game #135:

roll (4, 2) –> 6

point is 6

count:  3, odds:  0x

roll (6, 2) –> 8

count:  1, odds:  0x

roll (4, 2) –> 6

pass line winner, don’ts away

outcome: -1.0, net: +32.0

game #136:

roll (3, 3) –> 6

point is 6

count:  3, odds:  0x

roll (2, 6) –> 8

count:  1, odds:  0x

… shuffle …

roll (5, 1) –> 6

pass line winner, don’ts away

outcome: -1.0, net: +31.0

game #137:

roll (5, 1) –> 6

point is 6

count:  3, odds:  0x

roll (1, 2) –> 3

count:  4, odds:  1x           <——-

roll (6, 3) –> 9

count:  2, odds:  0x

roll (1, 1) –> 2

count:  3, odds:  0x

roll (4, 2) –> 6

pass line winner, don’ts away

outcome: -1.0, net: +30.0

game #138:

roll (5, 5) –> 10

point is 10

count: -4, odds:  0x

roll (4, 4) –> 8

count:  0, odds:  0x

roll (2, 5) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +31.0

game #139:

roll (3, 5) –> 8

point is 8

count: -4, odds:  0x

… shuffle …

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +32.0

game #140:

roll (4, 6) –> 10

point is 10

count:  4, odds:  1x           <——-

roll (3, 1) –> 4

count:  0, odds:  0x

roll (2, 6) –> 8

count:  0, odds:  0x

roll (4, 4) –> 8

count:  4, odds:  1x           <——-

roll (4, 1) –> 5

count:  4, odds:  1x           <——-

roll (1, 2) –> 3

count:  0, odds:  0x

roll (5, 6) –> 11

count:  4, odds:  1x           <——-

roll (2, 6) –> 8

count:  4, odds:  1x           <——-

roll (1, 2) –> 3

count:  0, odds:  0x

… shuffle …

roll (1, 5) –> 6

count:  0, odds:  0x

roll (4, 2) –> 6

count:  0, odds:  0x

roll (2, 1) –> 3

count: -4, odds:  0x

roll (5, 3) –> 8

count: -4, odds:  0x

roll (2, 6) –> 8

count: -4, odds:  0x

roll (3, 6) –> 9

count: -4, odds:  0x

roll (1, 4) –> 5

count: -4, odds:  0x

roll (5, 6) –> 11

count:  0, odds:  0x

roll (3, 2) –> 5

count: -4, odds:  0x

roll (5, 4) –> 9

count:  0, odds:  0x

… shuffle …

roll (4, 5) –> 9

count:  4, odds:  1x           <——-

roll (2, 4) –> 6

count:  4, odds:  1x           <——-

roll (1, 4) –> 5

count:  4, odds:  1x           <——-

roll (3, 3) –> 6

count:  0, odds:  0x

roll (1, 3) –> 4

count: -4, odds:  0x

roll (5, 1) –> 6

count: -4, odds:  0x

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +33.0

game #141:

roll (5, 1) –> 6

point is 6

count:  8, odds:  2x           <————

roll (5, 3) –> 8

count:  9, odds:  2x           <————

roll (6, 5) –> 11

count:  7, odds:  1x           <——-

… shuffle …

roll (1, 5) –> 6

pass line winner, don’ts away

outcome: -2.2, net: +30.8

game #142:

roll (1, 5) –> 6

point is 6

count:  9, odds:  2x           <————

roll (6, 4) –> 10

count:  7, odds:  1x           <——-

roll (4, 5) –> 9

count:  8, odds:  2x           <————

roll (4, 2) –> 6

pass line winner, don’ts away

outcome: -3.4, net: +27.4

game #143:

roll (3, 5) –> 8

point is 8

count:  0, odds:  0x

roll (4, 3) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +28.4

game #144:

roll (3, 5) –> 8

point is 8

count:  2, odds:  0x

roll (3, 6) –> 9

count:  3, odds:  0x

roll (5, 4) –> 9

count:  4, odds:  1x           <——-

… shuffle …

roll (4, 5) –> 9

count:  5, odds:  1x           <——-

roll (2, 1) –> 3

count:  3, odds:  0x

roll (6, 3) –> 9

count:  4, odds:  1x           <——-

roll (6, 3) –> 9

count:  5, odds:  1x           <——-

roll (5, 5) –> 10

count:  6, odds:  1x           <——-

roll (4, 1) –> 5

count:  0, odds:  0x

roll (2, 2) –> 4

count:  1, odds:  0x

roll (1, 4) –> 5

count: -1, odds:  0x

roll (2, 6) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +27.4

game #145:

roll (3, 3) –> 6

point is 6

count:  1, odds:  0x

… shuffle …

roll (4, 4) –> 8

count:  2, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +28.4

game #146:

roll (5, 3) –> 8

point is 8

count:  4, odds:  1x           <——-

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +2.0, net: +30.4

game #147:

roll (1, 5) –> 6

point is 6

count:  6, odds:  1x           <——-

roll (4, 6) –> 10

count:  3, odds:  0x

roll (6, 1) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +31.4

game #148:

roll (6, 2) –> 8

point is 8

count:  2, odds:  0x

roll (5, 3) –> 8

pass line winner, don’ts away

outcome: -1.0, net: +30.4

game #149:

roll (5, 4) –> 9

point is 9

count:  5, odds:  1x           <——-

… shuffle …

roll (2, 1) –> 3

count:  1, odds:  0x

roll (4, 6) –> 10

count:  3, odds:  0x

roll (3, 2) –> 5

count:  2, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +31.4

game #150:

roll (4, 4) –> 8

point is 8

count:  6, odds:  1x           <——-

roll (1, 5) –> 6

count:  0, odds:  0x

roll (5, 2) –> 7

seven out, pay the don’ts

outcome: +1.0, net: +32.4

game #151:

roll (2, 5) –> 7

pass line winner, don’ts away

outcome: -1.0, net: +31.4

game #152:

roll (5, 4) –> 9

point is 9

count: -3, odds:  0x

roll (6, 3) –> 9

pass line winner, don’ts away

outcome: -1.0, net: +30.4

games: 153, net: 30.4

min:  -4.50, max: +33.00

EV:  +6.08% per roll, +19.87% per game, variance  0.97

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