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Three Point Dolly

Introduction

The Three Point Dolly betting strategy is derived from craps. It contrasts with the conventional approach, focusing on winning bets when a seven is rolled instead of losing. Three Point Molly Implementing the Three Point Dolly strategy gives players an impressive house advantage of 0.27%, which is one of the best available in various casinos. This is not due to the nature of the betting system itself but rather because the player is placing highly strategic bets at the outset.

While I've observed players engaging in this betting style at the table, I am unsure if there is a specific name for this method. Therefore, I chose to call it the Three Point Dolly, positioning it as the darker counterpart to the Three Point Molly.

The following guidelines assume that the player is already familiar with the basic rules of craps. If you're not well-versed in these, I recommend going over the rules for the don’t pass, don’t come, and laying bets in craps before proceeding further.

Rules

Here's a brief overview of how to execute the Three Point Dolly strategy: consistently place either a don’t pass or don’t come bet with every roll until you’ve covered three numbers. Ensure each of these bets is supported by laying full odds, ideally at the maximum multiplier permitted. craps Now, let’s delve into a more comprehensive explanation of how to utilize the Three Point Dolly method.

Players must determine what one betting unit represents; for instance, it could be $10. This unit should at least match the minimum requirement for a don’t pass line bet. Each don’t pass or don’t come wager will be made using just one unit.

If the initial roll is a come out roll and you have less than three numbers covered, you should place a don’t pass bet.

If it's not a come out roll and you still have fewer than three numbers covered, go ahead and place a don’t come bet.

  1. Once you have three numbers covered, refrain from placing additional bets.
  2. If you made a pass or come bet on the previous roll and a point number (4, 5, 6, 8, 9, or 10) has been rolled, ensure to back it up by laying the odds, aiming for the maximum allowed.
  3. Continue following these four steps until a seven-out occurs, signaling the conclusion of your betting session.
  4. To assess the effectiveness of the Three Point Dolly, I simulated over 41 billion rounds of gameplay using a computer program. I based my analysis on tables permitting 3-4-5x odds, which means players can always lay 6x their don’t pass or don’t come bets. Below are some session statistics, defined as playing until the shooter rolls a seven-out.
  5. The spoiler section below presents the raw data showing the frequency of each net gain during the simulation.

Analysis

The graph below illustrates the probability of the most typical outcomes, ranging from a loss of 50 to a gain of 25 units.

  • Average units bet: 30.313926
  • Averages units won: -0.083150
  • Ratio money won to money bet = -0.002743
  • Average dice rolls = 8.525547
  • Probability session win = 0.679841
  • Average units won, given a win = 7.393417
  • Probability session loss = 0.299207
  • Average units lost, given a loss = 17.076796
  • Probability session push = 0.020952

The table below compares various statistical outcomes from the Three Point Molly and Three Point Dolly strategies.

Simulation Results — Net Units Won

Net Win Count Probability
-349 1 0.000000
-346 1 0.000000
-343 1 0.000000
-342 1 0.000000
-341 1 0.000000
-337 1 0.000000
-336 1 0.000000
-333 1 0.000000
-331 1 0.000000
-328 2 0.000000
-325 2 0.000000
-323 1 0.000000
-322 2 0.000000
-320 1 0.000000
-319 3 0.000000
-317 2 0.000000
-316 4 0.000000
-315 1 0.000000
-314 3 0.000000
-313 6 0.000000
-312 1 0.000000
-311 6 0.000000
-310 7 0.000000
-309 6 0.000000
-308 2 0.000000
-307 4 0.000000
-306 6 0.000000
-305 4 0.000000
-304 1 0.000000
-303 6 0.000000
-302 3 0.000000
-301 4 0.000000
-300 4 0.000000
-299 5 0.000000
-298 5 0.000000
-297 2 0.000000
-296 8 0.000000
-295 6 0.000000
-294 11 0.000000
-293 9 0.000000
-292 7 0.000000
-291 12 0.000000
-290 12 0.000000
-289 10 0.000000
-288 11 0.000000
-287 6 0.000000
-286 15 0.000000
-285 19 0.000000
-284 18 0.000000
-283 20 0.000000
-282 19 0.000000
-281 23 0.000000
-280 18 0.000000
-279 29 0.000000
-278 24 0.000000
-277 25 0.000000
-276 30 0.000000
-275 30 0.000000
-274 29 0.000000
-273 33 0.000000
-272 42 0.000000
-271 41 0.000000
-270 38 0.000000
-269 36 0.000000
-268 40 0.000000
-267 45 0.000000
-266 36 0.000000
-265 34 0.000000
-264 51 0.000000
-263 72 0.000000
-262 48 0.000000
-261 65 0.000000
-260 76 0.000000
-259 74 0.000000
-258 71 0.000000
-257 94 0.000000
-256 118 0.000000
-255 73 0.000000
-254 101 0.000000
-253 118 0.000000
-252 109 0.000000
-251 129 0.000000
-250 132 0.000000
-249 141 0.000000
-248 159 0.000000
-247 146 0.000000
-246 163 0.000000
-245 143 0.000000
-244 186 0.000000
-243 186 0.000000
-242 229 0.000000
-241 194 0.000000
-240 269 0.000000
-239 266 0.000000
-238 287 0.000000
-237 279 0.000000
-236 356 0.000000
-235 328 0.000000
-234 378 0.000000
-233 357 0.000000
-232 370 0.000000
-231 400 0.000000
-230 441 0.000000
-229 482 0.000000
-228 532 0.000000
-227 604 0.000000
-226 584 0.000000
-225 591 0.000000
-224 619 0.000000
-223 717 0.000000
-222 747 0.000000
-221 842 0.000000
-220 802 0.000000
-219 885 0.000000
-218 916 0.000000
-217 951 0.000000
-216 1,129 0.000000
-215 1,213 0.000000
-214 1,259 0.000000
-213 1,320 0.000000
-212 1,351 0.000000
-211 1,432 0.000000
-210 1,569 0.000000
-209 1,695 0.000000
-208 1,889 0.000000
-207 1,975 0.000000
-206 1,962 0.000000
-205 2,129 0.000000
-204 2,169 0.000000
-203 2,372 0.000000
-202 2,703 0.000000
-201 2,822 0.000000
-200 3,021 0.000000
-199 3,169 0.000000
-198 3,350 0.000000
-197 3,431 0.000000
-196 3,717 0.000000
-195 4,043 0.000000
-194 4,535 0.000000
-193 4,790 0.000000
-192 4,974 0.000000
-191 5,129 0.000000
-190 5,446 0.000000
-189 5,729 0.000000
-188 6,372 0.000000
-187 6,958 0.000000
-186 7,289 0.000000
-185 7,526 0.000000
-184 7,974 0.000000
-183 8,266 0.000000
-182 8,913 0.000000
-181 9,956 0.000000
-180 11,109 0.000000
-179 11,685 0.000000
-178 11,577 0.000000
-177 12,107 0.000000
-176 12,669 0.000000
-175 13,866 0.000000
-174 15,458 0.000000
-173 16,954 0.000000
-172 17,733 0.000000
-171 18,425 0.000000
-170 18,539 0.000000
-169 19,472 0.000000
-168 21,452 0.000001
-167 23,866 0.000001
-166 26,470 0.000001
-165 27,854 0.000001
-164 28,335 0.000001
-163 28,487 0.000001
-162 30,177 0.000001
-161 33,426 0.000001
-160 37,550 0.000001
-159 41,555 0.000001
-158 43,705 0.000001
-157 43,810 0.000001
-156 44,389 0.000001
-155 46,779 0.000001
-154 51,776 0.000001
-153 58,871 0.000001
-152 64,193 0.000002
-151 67,643 0.000002
-150 67,928 0.000002
-149 67,985 0.000002
-148 71,347 0.000002
-147 79,793 0.000002
-146 90,808 0.000002
-145 100,786 0.000002
-144 104,743 0.000003
-143 105,155 0.000003
-142 105,227 0.000003
-141 110,273 0.000003
-140 124,010 0.000003
-139 142,640 0.000003
-138 157,332 0.000004
-137 164,308 0.000004
-136 162,050 0.000004
-135 159,953 0.000004
-134 170,158 0.000004
-133 192,443 0.000005
-132 223,194 0.000005
-131 246,656 0.000006
-130 254,875 0.000006
-129 250,895 0.000006
-128 247,073 0.000006
-127 260,710 0.000006
-126 297,807 0.000007
-125 348,598 0.000008
-124 385,362 0.000009
-123 396,886 0.000010
-122 386,098 0.000009
-121 378,076 0.000009
-120 399,790 0.000010
-119 461,508 0.000011
-118 542,355 0.000013
-117 606,451 0.000015
-116 619,362 0.000015
-115 596,253 0.000014
-114 579,807 0.000014
-113 614,138 0.000015
-112 716,824 0.000017
-111 849,465 0.000021
-110 949,523 0.000023
-109 964,534 0.000023
-108 919,200 0.000022
-107 885,786 0.000022
-106 942,423 0.000023
-105 1,113,293 0.000027
-104 1,333,139 0.000032
-103 1,485,696 0.000036
-102 1,504,049 0.000037
-101 1,412,457 0.000034
-100 1,349,589 0.000033
-99 1,441,825 0.000035
-98 1,725,585 0.000042
-97 2,090,861 0.000051
-96 2,335,996 0.000057
-95 2,336,960 0.000057
-94 2,173,303 0.000053
-93 2,060,412 0.000050
-92 2,208,374 0.000054
-91 2,678,764 0.000065
-90 3,282,556 0.000080
-89 3,670,435 0.000089
-88 3,646,581 0.000089
-87 3,333,674 0.000081
-86 3,125,240 0.000076
-85 3,378,054 0.000082
-84 4,159,761 0.000101
-83 5,169,380 0.000126
-82 5,774,776 0.000140
-81 5,679,152 0.000138
-80 5,110,291 0.000124
-79 4,742,732 0.000115
-78 5,155,616 0.000125
-77 6,469,426 0.000157
-76 8,141,988 0.000198
-75 9,093,149 0.000221
-74 8,840,044 0.000215
-73 7,809,482 0.000190
-72 7,164,587 0.000174
-71 7,863,075 0.000191
-70 10,063,019 0.000245
-69 12,849,179 0.000312
-68 14,334,094 0.000348
-67 13,776,483 0.000335
-66 11,922,391 0.000290
-65 10,791,886 0.000262
-64 11,959,468 0.000291
-63 15,664,666 0.000381
-62 20,299,422 0.000493
-61 22,621,260 0.000550
-60 21,448,092 0.000521
-59 18,147,199 0.000441
-58 16,189,989 0.000393
-57 18,163,881 0.000441
-56 24,374,015 0.000592
-55 32,152,120 0.000781
-54 35,739,302 0.000869
-53 33,401,907 0.000812
-52 27,542,783 0.000669
-51 24,187,100 0.000588
-50 27,552,095 0.000670
-49 37,968,841 0.000923
-48 50,990,211 0.001239
-47 56,508,926 0.001373
-46 52,002,969 0.001264
-45 41,642,600 0.001012
-44 35,945,342 0.000874
-43 41,677,542 0.001013
-42 59,153,276 0.001438
-41 80,971,038 0.001968
-40 89,444,790 0.002174
-39 80,984,922 0.001968
-38 62,779,226 0.001526
-37 53,125,188 0.001291
-36 62,893,192 0.001528
-35 92,113,076 0.002238
-34 128,847,712 0.003131
-33 141,704,041 0.003444
-32 126,120,841 0.003065
-31 94,141,256 0.002288
-30 77,840,920 0.001892
-29 94,505,017 0.002297
-28 143,361,839 0.003484
-27 205,391,652 0.004991
-26 224,815,834 0.005463
-25 197,062,105 0.004789
-24 141,479,917 0.003438
-23 114,400,372 0.002780
-22 141,937,586 0.003449
-21 222,893,289 0.005417
-20 327,625,530 0.007962
-19 356,565,298 0.008665
-18 306,893,201 0.007458
-17 208,617,391 0.005070
-16 162,538,120 0.003950
-15 210,664,910 0.005119
-14 345,995,246 0.008408
-13 525,862,376 0.012779
-12 575,094,059 0.013976
-11 506,186,057 0.012301
-10 355,267,152 0.008633
-9 287,758,280 0.006993
-8 328,454,031 0.007982
-7 536,504,683 0.013038
-6 838,154,135 0.020368
-5 903,714,844 0.021961
-4 757,019,526 0.018397
-3 451,972,081 0.010984
-2 324,182,693 0.007878
-1 470,993,547 0.011446
0 862,177,144 0.020952
1 1,475,802,637 0.035864
2 1,966,020,072 0.047777
3 3,134,801,174 0.076180
4 3,227,145,242 0.078424
5 2,925,595,450 0.071096
6 1,070,503,000 0.026015
7 1,328,049,870 0.032273
8 2,245,337,384 0.054565
9 2,437,755,805 0.059241
10 2,001,363,460 0.048636
11 900,248,512 0.021877
12 383,862,607 0.009328
13 534,359,330 0.012986
14 947,140,171 0.023017
15 1,444,149,683 0.035095
16 1,084,274,535 0.026349
17 632,653,447 0.015374
18 164,648,522 0.004001
19 45,249,571 0.001100
20 16,597,713 0.000403
21 6,458,485 0.000157
22 2,274,071 0.000055
23 762,051 0.000019
24 261,002 0.000006
25 91,611 0.000002
26 32,066 0.000001
27 11,170 0.000000
28 3,924 0.000000
29 1,397 0.000000
30 480 0.000000
31 177 0.000000
32 49 0.000000
33 23 0.000000
34 11 0.000000
35 3 0.000000
36 2 0.000000
Total 41,150,000,000 1.000000

Analyzing the Differences Between Three Point Molly and Three Point Dolly

three point dolly

Comparison to Three Point Molly

Check out my video discussing the Three Point Dolly strategy.

In gambling, the critical factors are the games you play, the bets you place, and sometimes the expertise in your decision-making. What's less critical is the rationale behind your bets. Hence, betting systems aren't some kind of mathematical sorcery that shifts odds in favor of the player. In fact, these systems not only fail to reduce the house edge, but they also make no impact on it whatsoever.

Statistic Molly Dolly
Expected units bet 21.318409 30.313926
Expected win -0.086295 -0.083150
House Edge 0.004048 0.002743
Probability Win 0.304783 0.679841
Probability Loss 0.673288 0.299207
Average win given win 15.880052 7.393417
Average loss given loss 7.316730 17.076796
Average rolls 8.525470 8.525547
Standard deviation 13.966288 14.635488

Video

The true advantage of the Three Point Dolly lies not in its methodology but in the fact that it operates on bets with a low house edge. Don’t pass and come bets have a 1.36% house edge, whereas all odds bets feature a 0.00% house edge. When averaged, this results in an overall house edge of 0.27%. In most casinos, these are the most favorable odds available.

Conclusion

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External Links

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