Repeaters and Gaps

RayManZ · Aug 13, 11:00 AM 2018

Quote from: RayManZ on Jul 20, 12:34 PM 2018
Here are some more statistics for repeaters. It's from a million random numbers.

The first number is the gap between a number appearing. So if the spins are: 1,31,1. The gap is 2.

So a back to back repeat happens 2.7% of the time for repeat.

This could give a great inside on when to stop betting on a certain number waiting for it to repeat.

Code Select Expand
Gap Amount Number % Total% 1: 26957 2.7% (2.7)% 2: 26096 2.6% (5.3)% 3: 25289 2.5% (7.8)% 4: 24951 2.5% (10.3)% 5: 24558 2.5% (12.8)% 6: 23881 2.4% (15.2)% 7: 22864 2.3% (17.5)% 8: 22259 2.2% (19.7)% 9: 21580 2.2% (21.8)% 10: 21019 2.1% (23.9)% 11: 20631 2.1% (26)% 12: 19942 2% (28)% 13: 19578 2% (30)% 14: 19043 1.9% (31.9)% 15: 18389 1.8% (33.7)% 16: 17854 1.8% (35.5)% 17: 17471 1.7% (37.2)% 18: 16853 1.7% (38.9)% 19: 16601 1.7% (40.6)% 20: 16389 1.6% (42.2)% 21: 15516 1.6% (43.8)% 22: 15066 1.5% (45.3)% 23: 14868 1.5% (46.8)% 24: 14277 1.4% (48.2)% 25: 14198 1.4% (49.6)% 26: 13490 1.3% (51)% 27: 13180 1.3% (52.3)% 28: 12623 1.3% (53.5)% 29: 12282 1.2% (54.8)% 30: 12168 1.2% (56)% 31: 11913 1.2% (57.2)% 32: 11654 1.2% (58.3)% 33: 11113 1.1% (59.5)% 34: 11050 1.1% (60.6)% 35: 10622 1.1% (61.6)% 36: 10373 1% (62.7)% 37: 9786 1% (63.6)% 38: 9821 1% (64.6)% 39: 9525 1% (65.6)% 40: 9461 0.9% (66.5)% 41: 8992 0.9% (67.4)% 42: 8772 0.9% (68.3)% 43: 8518 0.9% (69.2)% 44: 8340 0.8% (70)% 45: 8113 0.8% (70.8)% 46: 7920 0.8% (71.6)% 47: 7760 0.8% (72.4)% 48: 7396 0.7% (73.1)% 49: 7354 0.7% (73.8)% 50: 7111 0.7% (74.6)% 51: 6802 0.7% (75.2)% 52: 6670 0.7% (75.9)% 53: 6652 0.7% (76.6)% 54: 6504 0.7% (77.2)% 55: 6143 0.6% (77.8)% 56: 6032 0.6% (78.4)% 57: 5798 0.6% (79)% 58: 5769 0.6% (79.6)% 59: 5563 0.6% (80.1)% 60: 5389 0.5% (80.7)% 61: 5165 0.5% (81.2)% 62: 5057 0.5% (81.7)% 63: 4860 0.5% (82.2)% 64: 4860 0.5% (82.7)% 65: 4620 0.5% (83.1)% 66: 4542 0.5% (83.6)% 67: 4459 0.4% (84)% 68: 4275 0.4% (84.5)% 69: 4175 0.4% (84.9)% 70: 4095 0.4% (85.3)% 71: 3993 0.4% (85.7)% 72: 3906 0.4% (86.1)% 73: 3733 0.4% (86.5)% 74: 3706 0.4% (86.8)% 75: 3470 0.3% (87.2)% 76: 3463 0.3% (87.5)% 77: 3302 0.3% (87.9)% 78: 3312 0.3% (88.2)% 79: 3164 0.3% (88.5)% 80: 3200 0.3% (88.8)% 81: 2942 0.3% (89.1)% 82: 3031 0.3% (89.4)% 83: 2846 0.3% (89.7)% 84: 2808 0.3% (90)% 85: 2765 0.3% (90.3)% 86: 2625 0.3% (90.5)% 87: 2602 0.3% (90.8)% 88: 2525 0.3% (91)% 89: 2333 0.2% (91.3)% 90: 2394 0.2% (91.5)% 91: 2314 0.2% (91.7)% 92: 2245 0.2% (92)% 93: 2156 0.2% (92.2)% 94: 2133 0.2% (92.4)% 95: 2085 0.2% (92.6)% 96: 2071 0.2% (92.8)% 97: 1945 0.2% (93)% 98: 1901 0.2% (93.2)% 99: 1805 0.2% (93.4)% 100: 1807 0.2% (93.6)% 101: 1829 0.2% (93.7)% 102: 1656 0.2% (93.9)% 103: 1668 0.2% (94.1)% 104: 1638 0.2% (94.2)% 105: 1609 0.2% (94.4)% 106: 1485 0.1% (94.5)% 107: 1476 0.1% (94.7)% 108: 1467 0.1% (94.8)% 109: 1416 0.1% (95)% 110: 1349 0.1% (95.1)% 111: 1286 0.1% (95.2)% 112: 1291 0.1% (95.4)% 113: 1286 0.1% (95.5)% 114: 1197 0.1% (95.6)% 115: 1177 0.1% (95.7)% 116: 1151 0.1% (95.8)% 117: 1158 0.1% (96)% 118: 1125 0.1% (96.1)% 119: 1017 0.1% (96.2)% 120: 1015 0.1% (96.3)% 121: 956 0.1% (96.4)% 122: 974 0.1% (96.5)% 123: 962 0.1% (96.6)% 124: 924 0.1% (96.7)% 125: 882 0.1% (96.8)% 126: 921 0.1% (96.8)% 127: 848 0.1% (96.9)% 128: 851 0.1% (97)% 129: 797 0.1% (97.1)% 130: 809 0.1% (97.2)% 131: 760 0.1% (97.2)% 132: 792 0.1% (97.3)% 133: 727 0.1% (97.4)% 134: 694 0.1% (97.5)% 135: 679 0.1% (97.5)% 136: 624 0.1% (97.6)% 137: 642 0.1% (97.7)% 138: 647 0.1% (97.7)% 139: 634 0.1% (97.8)% 140: 616 0.1% (97.9)% 141: 546 0.1% (97.9)% 142: 589 0.1% (98)% 143: 553 0.1% (98)% 144: 528 0.1% (98.1)% 145: 535 0.1% (98.1)% 146: 483 0% (98.2)% 147: 483 0% (98.2)% 148: 494 0% (98.3)% 149: 469 0% (98.3)% 150: 458 0% (98.4)% 151: 432 0% (98.4)% 152: 461 0% (98.5)% 153: 415 0% (98.5)% 154: 400 0% (98.5)% 155: 416 0% (98.6)% 156: 370 0% (98.6)% 157: 373 0% (98.7)% 158: 378 0% (98.7)% 159: 365 0% (98.7)% 160: 331 0% (98.8)% 161: 367 0% (98.8)% 162: 333 0% (98.8)% 163: 324 0% (98.9)% 164: 296 0% (98.9)% 165: 309 0% (98.9)% 166: 258 0% (99)% 167: 268 0% (99)% 168: 286 0% (99)% 169: 273 0% (99)% 170: 281 0% (99.1)% 171: 256 0% (99.1)% 172: 245 0% (99.1)% 173: 240 0% (99.1)% 174: 210 0% (99.2)% 175: 229 0% (99.2)% 176: 230 0% (99.2)% 177: 203 0% (99.2)% 178: 226 0% (99.2)% 179: 234 0% (99.3)% 180: 206 0% (99.3)% 181: 191 0% (99.3)% 182: 188 0% (99.3)% 183: 166 0% (99.3)% 184: 183 0% (99.4)% 185: 189 0% (99.4)% 186: 152 0% (99.4)% 187: 175 0% (99.4)% 188: 162 0% (99.4)% 189: 154 0% (99.4)% 190: 171 0% (99.5)% 191: 129 0% (99.5)% 192: 135 0% (99.5)% 193: 146 0% (99.5)% 194: 123 0% (99.5)% 195: 135 0% (99.5)% 196: 131 0% (99.5)% 197: 128 0% (99.6)% 198: 130 0% (99.6)% 199: 107 0% (99.6)% 200: 119 0% (99.6)% 201: 116 0% (99.6)% 202: 94 0% (99.6)% 203: 111 0% (99.6)% 204: 110 0% (99.6)% 205: 97 0% (99.6)% 206: 107 0% (99.7)% 207: 104 0% (99.7)% 208: 82 0% (99.7)% 209: 88 0% (99.7)% 210: 80 0% (99.7)% 211: 97 0% (99.7)% 212: 78 0% (99.7)% 213: 81 0% (99.7)% 214: 72 0% (99.7)% 215: 72 0% (99.7)% 216: 72 0% (99.7)% 217: 66 0% (99.7)% 218: 74 0% (99.8)% 219: 71 0% (99.8)% 220: 63 0% (99.8)% 221: 47 0% (99.8)% 222: 61 0% (99.8)% 223: 59 0% (99.8)% 224: 56 0% (99.8)% 225: 68 0% (99.8)% 226: 46 0% (99.8)% 227: 49 0% (99.8)% 228: 53 0% (99.8)% 229: 55 0% (99.8)% 230: 53 0% (99.8)% 231: 55 0% (99.8)% 232: 50 0% (99.8)% 233: 62 0% (99.8)% 234: 47 0% (99.8)% 235: 53 0% (99.8)% 236: 39 0% (99.9)% 237: 39 0% (99.9)% 238: 35 0% (99.9)% 239: 36 0% (99.9)% 240: 38 0% (99.9)% 241: 40 0% (99.9)% 242: 24 0% (99.9)% 243: 47 0% (99.9)% 244: 33 0% (99.9)% 245: 34 0% (99.9)% 246: 33 0% (99.9)% 247: 34 0% (99.9)% 248: 29 0% (99.9)% 249: 39 0% (99.9)% 250: 38 0% (99.9)% 251: 28 0% (99.9)% 252: 28 0% (99.9)% 253: 32 0% (99.9)% 254: 27 0% (99.9)% 255: 26 0% (99.9)% 256: 20 0% (99.9)% 257: 27 0% (99.9)% 258: 23 0% (99.9)% 259: 23 0% (99.9)% 260: 18 0% (99.9)% 261: 17 0% (99.9)% 262: 25 0% (99.9)% 263: 18 0% (99.9)% 264: 16 0% (99.9)% 265: 20 0% (99.9)% 266: 17 0% (99.9)% 267: 14 0% (99.9)% 268: 19 0% (99.9)% 269: 14 0% (99.9)% 270: 18 0% (99.9)% 271: 17 0% (99.9)% 272: 14 0% (99.9)% 273: 11 0% (99.9)% 274: 20 0% (99.9)% 275: 11 0% (100)% 276: 17 0% (100)% 277: 12 0% (100)% 278: 9 0% (100)% 279: 9 0% (100)% 280: 14 0% (100)% 281: 12 0% (100)% 282: 11 0% (100)% 283: 17 0% (100)% 284: 8 0% (100)% 285: 16 0% (100)% 286: 12 0% (100)% 287: 9 0% (100)% 288: 11 0% (100)% 289: 9 0% (100)% 290: 8 0% (100)% 291: 14 0% (100)% 292: 3 0% (100)% 293: 9 0% (100)% 294: 9 0% (100)% 295: 6 0% (100)% 296: 12 0% (100)% 297: 10 0% (100)% 298: 5 0% (100)% 299: 7 0% (100)% 300: 9 0% (100)% 301: 4 0% (100)% 302: 14 0% (100)% 303: 7 0% (100)% 304: 6 0% (100)% 305: 9 0% (100)% 306: 3 0% (100)% 307: 8 0% (100)% 308: 9 0% (100)% 309: 3 0% (100)% 310: 3 0% (100)% 311: 3 0% (100)% 312: 5 0% (100)% 313: 5 0% (100)% 314: 3 0% (100)% 315: 3 0% (100)% 316: 2 0% (100)% 317: 3 0% (100)% 318: 7 0% (100)% 319: 6 0% (100)% 320: 2 0% (100)% 321: 3 0% (100)% 322: 3 0% (100)% 323: 1 0% (100)% 324: 3 0% (100)% 325: 3 0% (100)% 326: 3 0% (100)% 327: 4 0% (100)% 328: 4 0% (100)% 329: 2 0% (100)% 330: 1 0% (100)% 331: 3 0% (100)% 332: 2 0% (100)% 333: 3 0% (100)% 334: 2 0% (100)% 336: 2 0% (100)% 337: 2 0% (100)% 339: 3 0% (100)% 340: 3 0% (100)% 341: 2 0% (100)% 342: 2 0% (100)% 343: 3 0% (100)% 344: 2 0% (100)% 345: 2 0% (100)% 346: 3 0% (100)% 347: 1 0% (100)% 348: 1 0% (100)% 349: 1 0% (100)% 350: 2 0% (100)% 351: 1 0% (100)% 352: 2 0% (100)% 354: 1 0% (100)% 356: 2 0% (100)% 358: 1 0% (100)% 359: 1 0% (100)% 360: 3 0% (100)% 361: 3 0% (100)% 363: 2 0% (100)% 366: 1 0% (100)% 367: 3 0% (100)% 368: 1 0% (100)% 369: 1 0% (100)% 371: 2 0% (100)% 373: 1 0% (100)% 375: 3 0% (100)% 377: 1 0% (100)% 378: 1 0% (100)% 379: 2 0% (100)% 380: 1 0% (100)% 381: 1 0% (100)% 382: 1 0% (100)% 383: 2 0% (100)% 385: 1 0% (100)% 386: 3 0% (100)% 388: 1 0% (100)% 393: 2 0% (100)% 397: 1 0% (100)% 400: 1 0% (100)% 401: 1 0% (100)% 403: 1 0% (100)% 404: 2 0% (100)% 417: 2 0% (100)% 418: 1 0% (100)% 419: 1 0% (100)% 425: 1 0% (100)% 429: 1 0% (100)% 432: 1 0% (100)% 433: 1 0% (100)% 454: 1 0% (100)% 457: 1 0% (100)% 476: 1 0% (100)% 498: 1 0% (100)% 502: 1 0% (100)%

all ready posted those stats...

Kattila · Aug 14, 06:31 AM 2018

RaymanZ,
Do you have any statistics on gaps for
groups of numbers?
For example the avarage gaps for:
.....one dozen(12 numbers)
.....9 numbers group
.....one double street(6 numbers)
.....one quad ( 4 numbers)
.....one street ( 3 numbers)
..... one split( 2 numbers )

I know for straight is .....gaps 6,7,8 but
can t ignore the 1,2,3,4,5 and 9,10,11.
For example if i play ,
....one doz, i bet for gaps 1 or 2 or 3
....9 numbers, i bet for gaps 1 or...2....3....4
.....6 no, i bet for gaps 1 or...2...3...4...5...6
.....4 no , i bet for gaps 2...3...4...5...6
.... 3 no, bet for g 3...4...5....6...7
..... 2 no bet for g 4...5...6...7...8...9

Bigbroben · Aug 14, 09:52 AM 2018

Quote from: RationPouleta on Aug 13, 10:42 AM 2018
25-32-26-25 - gap of 4
33-1-22-18-7-9-25-36-1 - gap of 8
Then I realized that someone said in gamblingforums that in 50% of the cases the repetitions fall between 4-8 of balls.
Then I would like to know which are the most frequent or the most frequent breaches and if it varies or not or if it is something that happens a lot in all kinds of sessions.

Passion,

using your nrs: what you call a gap of 4 (or 8 ): 3nrs (7) in 4 (or 8 ) spins. So a repeater coming at spin 4( 8 ).

Let' see the stats:
(Now, let's agree to assume there are no other repeaters invetween the 2 regarded repeating nr appearance, otherwise we should differentiate:
1) spin gaps, which falls in the following way:

2) order gap, which on long term will run as a flat line around 18-19

So, let's see what's the first order gap of the first repeater. This is the same as considering only repeaters without repeating nrs vetween.
This will show a similar curve as the spin gap: more frequent spin gap is 1, max theorical gap is 37.
Here, results of 10k first repeater:
X: repeater gap. Y: How many times it happened.

If demonstrated in a 3D chart, checking repeater gap and separating them per spin gap:
X: 1st repeater arriving at spin X;
Y: repeater gap Y on the X spin;
Z: occurences in 10k.

( I just discovered the 3D-charts in Excel, get ready for me over-using them!)
So we see it all evens out.

What I can tell you, though, is:
the gap average grows half as fast as the 1st repeater spin ((Spinx+1)/2):

If you really want to focus on the first repeater spin, as expected:

Percentage of repeaters coming from spin 5 to 9, so from 4 to 8 nrs, in this 10k session trial: 4997. So, yeah, 50%.

Enough for now, back to work...

Bigbroben · Jan 13, 12:00 AM 2019

Thought I'd give it a shot and check repeater behavior in 2nd cycle.

Instead of measuring in spins, let's have the nr of repeaters as our reference. So I gathered stats mostly for the 37th repeater.

Turns out, unexpectedly but probably mathematically right, that the 37th repeater will most of the time arrive on spins 68 and 69. Like 10% on spin 66, 15% on spin 67,18% on spin 68, 18% on spin 69 and 14% on spin 70. With rather a reduced range, 58-74 ( can't be higher than 74 anyways). See attached.
I noticed that the repeaters tend to hit in ever narrower range as they accumulate ( 1st rep can hit anywhere from 2nd spin to 28th, with a smoother curve, then growing spikier and narrower). Don't know how to exploit this yet.

Then I checked the number's rank when repeating, or position. In 37 repeaters, on average, there are 21 ranks out, 10 ranks coming out twice, 4 ranks 3 times, 1 rank 4 times. This differs from the 23-13-1-0 with the 37 first nrs.

Comparing situation at spin37 with spin74, in regards of ranks out:
In a normal 37 spin cycle, with 13-14 repeaters on average, one sees 10-3-1 for ranks hiting 1x, 2x, 3x. Then at spin 74, which sees anywhere from 37 to 49 repeaters (average 42), it's 22-12-5-2 for 1x,2x,3x,4x.

So, from spin 37 to 74, there are 37 spins and 28 repeatings (42-14), so 9 new nrs. On average, 12 new ranks will appear and 16 wil repeat.
So I ask a question: would we get, in the 2nd cycle, 9 losses due to new nrs out and 12 losses due to new ranks out, on average? This would leave 16 wins (37-(9+12)) in 37 spins, while betting from 10 to 22 nrs ( as opposed to 13-14 wins while playing 1-24 nrs if considering the nrs and not their rank)?

I did not yet simulate this yet. I'll sleep over it.

P.S.: Notto, spin 60, indeed, is on average the spin where the amount of repeaters equals to half of spin nrs, so half reps, half unhits.

nottophammer · Jan 13, 02:47 AM 2019

Quote from: Bigbroben on Jan 13, 12:00 AM 2019P.S.: Notto, spin 60, indeed, is on average the spin where the amount of repeaters equals to half of spin nrs, so half reps, half unhits.

Thanks BBB; so the non-hit time tables are worth looking over.

Bigbroben · Jan 14, 08:32 PM 2019

I was wondering if this could be a significant ''GUT'' crossing: the spin where nrs out equals half of spins, or as many repeating spins as nrs out...

The General · Jan 14, 09:20 PM 2019

Quote from: Bigbroben on Jan 14, 08:32 PM 2019
I was wondering if this could be a significant ''GUT'' crossing: the spin where nrs out equals half of spins, or as many repeating spins as nrs out...

No significance there as the same number of pockets remain on the wheel.

Firefox · Jan 18, 03:38 PM 2019

Studiers of repeaters may be interested in the attached pic from a Vegas casino. Number 19 hits, then repeats 7 times in a row. Odds of one in 2.56 billion.

Followed shortly by 4 number 20
Anything can happen.

Roulettebeater · Jan 19, 03:54 AM 2019

Ok weâ€™ll all start betting on 19

The General · Jan 19, 03:58 AM 2019

Quote from: Firefox on Jan 18, 03:38 PM 2019
Studiers of repeaters may be interested in the attached pic from a Vegas casino. Number 19 hits, then repeats 7 times in a row. Odds of one in 2.56 billion.

Followed shortly by 4 number 20
Anything can happen.

That reader board is misreading. It looks like a Grips brand number reader board at the Rio Casino in Las Vegas. Unfortunately that reader board wouldn't accurately read the numbers that would hit on the TCS Huxley Starburst roulette wheels. Those are duplicate reads where it would read the numbers more than once. The Rio's boards were terrible. I've been there many times.

winkel · Jan 21, 04:51 PM 2019

Quote from: Bigbroben on Jan 13, 12:00 AM 2019

So, from spin 37 to 74, there are 37 spins and 28 repeatings (42-14), so 9 new nrs. On average, 12 new ranks will appear and 16 wil repeat.
So I ask a question: would we get, in the 2nd cycle, 9 losses due to new nrs out and 12 losses due to new ranks out, on average? This would leave 16 wins (37-(9+12)) in 37 spins, while betting from 10 to 22 nrs ( as opposed to 13-14 wins while playing 1-24 nrs if considering the nrs and not their rank)?

No! You have forgotten one element:
imagine a non-hit-# appears in the second 37spin-cycle 4 times.
This ruins your statistics and conclusions

nottophammer · Jan 21, 06:06 PM 2019

Big Bro

Nice to get a proper reply not the shaking head from you know who.

Good see you Winkel

Bigbroben · Jan 21, 06:40 PM 2019

Quote from: winkel on Jan 21, 04:51 PM 2019
No! You have forgotten one element:
imagine a non-hit-# appears in the second 37spin-cycle 4 times.
This ruins your statistics and conclusions

The above stats about repeater's position did not concentrate on unhits, this is true. They were left to repeaters. And indeed, if a unhit lands, it's a loss for the spin.
Overall, the macros showed the unit cost for a hit hovers around 37. As expected.

News:

Repeaters and Gaps