John Lewis: Comp dependent 16 v 10 indices

John Lewis · 01-09-2004, 01:48 PM

Cacarulo

Thank you, as always, for your comments.

"... you can't apply to 4-card 16s the same rule ... That rule is only valid with 3-card 16s."

I definitely agree that the rule "index of +3 for hands which contain 6" would most likely apply only to 2 and 3-card hands.

"So first you need to find a new rule for this case. Overall, this is not worth it since there are few occasions in which hitting is better than standing. The best rule is to always stand."

I have thought that for simplicity one could probably just class 4 or more-card hands with non 6 containing 3-card hands and use an index of -2. Do you agree?

Thanks, JL

Cacarulo · 01-12-2004, 10:28 AM

Below are all the 4-card possibilities a 16 can be made of in single deck. The rule I found is that we should HIT any hand containing 66, 67 and 68. There is only one exception: T222 that we should also HIT. The rest should be STAND.

Tot Cards  Prob.of Occurrence    Stand       Hit      Best  Hand 

---------------------------------------------------------------- 

16 |  4  |  0.00001846892603 | -0.551273 | -0.543783 |  H | 222T 

16 |  4  |  0.00000985009388 | -0.548278 | -0.551912 |  S | 2239 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 2248 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 2257 

16 |  4  |  0.00000738757041 | -0.569327 | -0.530925 |  H | 2266 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 2275 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 2284 

16 |  4  |  0.00000985009388 | -0.548278 | -0.551912 |  S | 2293 

16 |  4  |  0.00001846892603 | -0.551273 | -0.543783 |  H | 22T2 

16 |  4  |  0.00000985009388 | -0.548278 | -0.551912 |  S | 2329 

16 |  4  |  0.00000985009388 | -0.544163 | -0.558296 |  S | 2338 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 2347 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 2356 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 2365 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 2374 

16 |  4  |  0.00000985009388 | -0.544163 | -0.558296 |  S | 2383 

16 |  4  |  0.00000985009388 | -0.548278 | -0.551912 |  S | 2392 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 23TA 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 23AT 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 2428 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 2437 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 2446 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 2455 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 2464 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 2473 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 2482 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 249A 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 24A9 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 2527 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 2536 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 2545 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 2554 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 2563 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 2572 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 258A 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 25A8 

16 |  4  |  0.00000738757041 | -0.569327 | -0.530925 |  H | 2626 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 2635 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 2644 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 2653 

16 |  4  |  0.00000738757041 | -0.569327 | -0.530925 |  H | 2662 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 267A 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 2725 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 2734 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 2743 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 2752 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 276A 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 2824 

16 |  4  |  0.00000985009388 | -0.544163 | -0.558296 |  S | 2833 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 2842 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 285A 

16 |  4  |  0.00001846892603 | -0.551273 | -0.543783 |  H | 2T22 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 2T3A 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 2TA3 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 2A3T 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 2A49 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 2A58 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 2A94 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 2AT3 

16 |  4  |  0.00000985009388 | -0.548278 | -0.551912 |  S | 3229 

16 |  4  |  0.00000985009388 | -0.544163 | -0.558296 |  S | 3238 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 3247 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 3256 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 3265 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 3274 

16 |  4  |  0.00000985009388 | -0.544163 | -0.558296 |  S | 3283 

16 |  4  |  0.00000985009388 | -0.548278 | -0.551912 |  S | 3292 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 32TA 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 32AT 

16 |  4  |  0.00000985009388 | -0.544163 | -0.558296 |  S | 3328 

16 |  4  |  0.00000492504694 | -0.538901 | -0.565897 |  S | 3337 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 3346 

16 |  4  |  0.00000738757041 | -0.560523 | -0.624202 |  S | 3355 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 3364 

16 |  4  |  0.00000492504694 | -0.538901 | -0.565897 |  S | 3373 

16 |  4  |  0.00000985009388 | -0.544163 | -0.558296 |  S | 3382 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | 339A 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | 33A9 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 3427 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 3436 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 3445 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 3454 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 3463 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 3472 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 348A 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 34A8 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 3526 

16 |  4  |  0.00000738757041 | -0.560523 | -0.624202 |  S | 3535 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 3544 

16 |  4  |  0.00000738757041 | -0.560523 | -0.624202 |  S | 3553 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 3562 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 357A 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 3625 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 3634 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 3643 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 3652 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 3724 

16 |  4  |  0.00000492504694 | -0.538901 | -0.565897 |  S | 3733 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 3742 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 375A 

16 |  4  |  0.00000985009388 | -0.548278 | -0.551912 |  S | 3922 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | 393A 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | 39A3 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 3T2A 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 3TA2 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 3A2T 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | 3A39 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 3A48 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 3A84 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | 3A93 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | 3AT2 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 4228 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 4237 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 4246 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 4255 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 4264 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 4273 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 4282 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 429A 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 42A9 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 4327 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 4336 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 4345 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 4354 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 4363 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 4372 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 438A 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 43A8 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 4426 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 4435 

16 |  4  |  0.00000123126174 | -0.564526 | -0.628351 |  S | 4444 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 4453 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 4462 

16 |  4  |  0.00000985009388 | -0.532568 | -0.575224 |  S | 447A 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 4525 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 4534 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 4543 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 4552 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 4624 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 4633 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 4642 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 4822 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 483A 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 48A3 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 492A 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 49A2 

16 |  4  |  0.00003693785206 | -0.534773 | -0.545325 |  S | 4TAA 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 4A29 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 4A38 

16 |  4  |  0.00000985009388 | -0.532568 | -0.575224 |  S | 4A74 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 4A83 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 4A92 

16 |  4  |  0.00003693785206 | -0.534773 | -0.545325 |  S | 4ATA 

16 |  4  |  0.00003693785206 | -0.534773 | -0.545325 |  S | 4AAT 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 5227 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 5236 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 5245 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 5254 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 5263 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 5272 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 528A 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 52A8 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 5326 

16 |  4  |  0.00000738757041 | -0.560523 | -0.624202 |  S | 5335 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 5344 

16 |  4  |  0.00000738757041 | -0.560523 | -0.624202 |  S | 5353 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 5362 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 537A 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 5425 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 5434 

16 |  4  |  0.00000985009388 | -0.563221 | -0.626238 |  S | 5443 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 5452 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 5524 

16 |  4  |  0.00000738757041 | -0.560523 | -0.624202 |  S | 5533 

16 |  4  |  0.00000985009388 | -0.561560 | -0.629636 |  S | 5542 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 5722 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 573A 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 57A3 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 582A 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 58A2 

16 |  4  |  0.00000985009388 | -0.529762 | -0.555632 |  S | 59AA 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 5A28 

16 |  4  |  0.00001313345851 | -0.555179 | -0.581247 |  S | 5A64 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 5A73 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 5A82 

16 |  4  |  0.00000985009388 | -0.529762 | -0.555632 |  S | 5A9A 

16 |  4  |  0.00000985009388 | -0.529762 | -0.555632 |  S | 5AA9 

16 |  4  |  0.00000738757041 | -0.569327 | -0.530925 |  H | 6226 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 6235 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 6244 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 6253 

16 |  4  |  0.00000738757041 | -0.569327 | -0.530925 |  H | 6262 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 627A 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 6325 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 6334 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 6343 

16 |  4  |  0.00001313345851 | -0.565869 | -0.577982 |  S | 6352 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 6424 

16 |  4  |  0.00000985009388 | -0.566208 | -0.574530 |  S | 6433 

16 |  4  |  0.00000985009388 | -0.565822 | -0.580170 |  S | 6442 

16 |  4  |  0.00000738757041 | -0.569327 | -0.530925 |  H | 6622 

16 |  4  |  0.00000985009388 | -0.558273 | -0.528864 |  H | 66A3 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 672A 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 67A2 

16 |  4  |  0.00000985009388 | -0.531430 | -0.517055 |  H | 68AA 

16 |  4  |  0.00001313345851 | -0.555179 | -0.581247 |  S | 6A54 

16 |  4  |  0.00000985009388 | -0.558273 | -0.528864 |  H | 6A63 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 6A72 

16 |  4  |  0.00000985009388 | -0.531430 | -0.517055 |  H | 6A8A 

16 |  4  |  0.00000985009388 | -0.531430 | -0.517055 |  H | 6AA8 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 7225 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 7234 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 7243 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 7252 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 726A 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 7324 

16 |  4  |  0.00000492504694 | -0.538901 | -0.565897 |  S | 7333 

16 |  4  |  0.00001313345851 | -0.541223 | -0.571483 |  S | 7342 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 735A 

16 |  4  |  0.00000985009388 | -0.541362 | -0.574260 |  S | 7522 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 753A 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 75A3 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 762A 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 76A2 

16 |  4  |  0.00000985009388 | -0.532568 | -0.575224 |  S | 7A44 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | 7A53 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | 7A62 

16 |  4  |  0.00000738757041 | -0.504830 | -0.522205 |  S | 7A7A 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 8224 

16 |  4  |  0.00000985009388 | -0.544163 | -0.558296 |  S | 8233 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 8242 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 825A 

16 |  4  |  0.00000985009388 | -0.544299 | -0.563886 |  S | 8422 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 843A 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | 84A3 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 852A 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | 85A2 

16 |  4  |  0.00000985009388 | -0.531430 | -0.517055 |  H | 86AA 

16 |  4  |  0.00000985009388 | -0.548278 | -0.551912 |  S | 9322 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | 933A 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | 93A3 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 942A 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | 94A2 

16 |  4  |  0.00000985009388 | -0.529762 | -0.555632 |  S | 95AA 

16 |  4  |  0.00001846892603 | -0.551273 | -0.543783 |  H | T222 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | T23A 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | T2A3 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | T32A 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | T3A2 

16 |  4  |  0.00003693785206 | -0.534773 | -0.545325 |  S | T4AA 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | A23T 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | A249 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | A258 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | A294 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | A2T3 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | A32T 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | A339 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | A348 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | A384 

16 |  4  |  0.00000985009388 | -0.537467 | -0.549132 |  S | A393 

16 |  4  |  0.00004925046942 | -0.542177 | -0.542258 |  S | A3T2 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | A429 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | A438 

16 |  4  |  0.00000985009388 | -0.532568 | -0.575224 |  S | A474 

16 |  4  |  0.00001313345851 | -0.535814 | -0.561825 |  S | A483 

16 |  4  |  0.00001313345851 | -0.539474 | -0.554743 |  S | A492 

16 |  4  |  0.00003693785206 | -0.534773 | -0.545325 |  S | A4TA 

16 |  4  |  0.00003693785206 | -0.534773 | -0.545325 |  S | A4AT 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | A528 

16 |  4  |  0.00001313345851 | -0.555179 | -0.581247 |  S | A564 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | A573 

16 |  4  |  0.00001313345851 | -0.535498 | -0.565291 |  S | A582 

16 |  4  |  0.00000985009388 | -0.529762 | -0.555632 |  S | A59A 

16 |  4  |  0.00000985009388 | -0.529762 | -0.555632 |  S | A5A9 

16 |  4  |  0.00001313345851 | -0.555179 | -0.581247 |  S | A654 

16 |  4  |  0.00000985009388 | -0.558273 | -0.528864 |  H | A663 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | A672 

16 |  4  |  0.00000985009388 | -0.531430 | -0.517055 |  H | A68A 

16 |  4  |  0.00000985009388 | -0.531430 | -0.517055 |  H | A6A8 

16 |  4  |  0.00000985009388 | -0.532568 | -0.575224 |  S | A744 

16 |  4  |  0.00001313345851 | -0.530244 | -0.572754 |  S | A753 

16 |  4  |  0.00001313345851 | -0.536236 | -0.526188 |  H | A762 

16 |  4  |  0.00000738757041 | -0.504830 | -0.522205 |  S | A77A

Maybe you can use this info in order to generate a Hi-Lo index.

Hope this helps.

Sincerely,
Cacarulo

John Lewis · 01-12-2004, 09:55 PM

Cacarulo

Thank you very much for your interest, and very much for the data.

The only way I personally know to calculate the indices we are seeking is to have index information available for each card combination as well as the occurrence rate and hand composition data you provide. I am by no means sophisticated mathmatically. I do not know how to calculate the indices from the stand/hit data you present, assumiing that is possible. Are you by any chance aware of a simple formula for this conversion?

"The rule I found is that we should HIT any hand containing 66, 67 and 68." -- Cacarulo

Very interesting result, but not surprising given that 6,7, and 8 will bust player's hand. With those cards gone it is more attractive to hit. 9 and 10 containing hands, which also bust the player, are not present in 4-card 16's, so they do not appear here.

However, these hands (those containing 66,67, and 68) constitute only 5% of 4-card hands (calculation based on your data.) They most likely can be ignored at their very low cummulative incidence of 0.02% of all hands (again calculated using data you provided.) This contrasts with the total incidence of 4-card 16's of 0.4% (your data.)

Thus the only index that might be important is the mean index of the all of the 4-card hands. If the result is easy to remember in the context of our current scheme it would make a correspondingly painless addition to the effective play of the hand, and as such might be worthwhile.

Thank you, JL

Zenfighter · 01-13-2004, 08:21 AM

Cacarulo · 01-13-2004, 09:45 AM

Cacarulo · 01-16-2004, 10:16 AM

> Thank you very much for your interest, and
> very much for the data.

You're welcome.

> The only way I personally know to calculate
> the indices we are seeking is to have index
> information available for each card
> combination as well as the occurrence rate
> and hand composition data you provide. I am
> by no means sophisticated mathmatically. I
> do not know how to calculate the indices
> from the stand/hit data you present,
> assumiing that is possible. Are you by any
> chance aware of a simple formula for this
> conversion?

You're right, you need more info in order to calculate the index. Unfortunately, I don't have it.

> Thus the only index that might be important
> is the mean index of the all of the 4-card
> hands. If the result is easy to remember in
> the context of our current scheme it would
> make a correspondingly painless addition to
> the effective play of the hand, and as such
> might be worthwhile.

Maybe it's important in an academic sense. I'd simply stand.

Sincerely,
Cacarulo

John Lewis · 01-17-2004, 10:46 AM

Thread: John Lewis: Comp dependent 16 v 10 indices

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John Lewis: 4 or more-card 16 x 10 index

Cacarulo: A Rule for 4-card 16s

John Lewis: Cacarulo's 4-card 16 v 10 data

Zenfighter: Re:Good work! Fulfilled prophesy :-) NM

Cacarulo: Thank you! NM

Cacarulo: Re: Cacarulo's 4-card 16 v 10 data

John Lewis: thanks again for all your help NM

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Thread: John Lewis: Comp dependent 16 v 10 indices

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John Lewis: 4 or more-card 16 x 10 index

Cacarulo: A Rule for 4-card 16s

John Lewis: Cacarulo's 4-card 16 v 10 data

Zenfighter: Re:Good work! Fulfilled prophesy :-) *NM*

Cacarulo: Thank you! *NM*

Cacarulo: Re: Cacarulo's 4-card 16 v 10 data

John Lewis: thanks again for all your help *NM*

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Zenfighter: Re:Good work! Fulfilled prophesy :-) NM

Cacarulo: Thank you! NM

John Lewis: thanks again for all your help NM