Second batch of card distribution analysis.

[mongeron]

Hello again all,

I made some enhancements to my program, and now I have the analysis of Hold'em hands, with the distribution of my own hole cards. I have also added sums for different ranks & suits to the table.

The results look like this:

<pre><font class="small">code:</font><hr>
Suited holecards: 20911 Unsuited holecards: 67785

Holecard counts (88696 hands):
Ad: 3434 Ac: 3426 As: 3467 Ah: 3460 A: 13787
2d: 3501 2c: 3474 2s: 3525 2h: 3403 2: 13903
3d: 3508 3c: 3471 3s: 3355 3h: 3384 3: 13718
4d: 3506 4c: 3389 4s: 3458 4h: 3415 4: 13768
5d: 3426 5c: 3161 5s: 3428 5h: 3401 5: 13416
6d: 3388 6c: 3471 6s: 3401 6h: 3290 6: 13550
7d: 3334 7c: 3418 7s: 3425 7h: 3376 7: 13553
8d: 3433 8c: 3419 8s: 3530 8h: 3446 8: 13828
9d: 3400 9c: 3533 9s: 3390 9h: 3393 9: 13716
Td: 3350 Tc: 3426 Ts: 3310 Th: 3321 T: 13407
Jd: 3359 Jc: 3377 Js: 3418 Jh: 3415 J: 13569
Qd: 3449 Qc: 3402 Qs: 3375 Qh: 3352 Q: 13578
Kd: 3425 Kc: 3374 Ks: 3390 Kh: 3410 K: 13599
d: 44513 c: 44341 s: 44472 h: 44066

Flushed flops: Three-flushes: 3074 Two-flushes: 32602 Rainbows: 23658

Card counts on Flop (59334 flops):
Ad: 3246 Ac: 3372 As: 3404 Ah: 3288 A: 13310
2d: 3392 2c: 3421 2s: 3545 2h: 3481 2: 13839
3d: 3443 3c: 3552 3s: 3429 3h: 3474 3: 13898
4d: 3511 4c: 3524 4s: 3416 4h: 3431 4: 13882
5d: 3479 5c: 3499 5s: 3367 5h: 3483 5: 13828
6d: 3395 6c: 3475 6s: 3446 6h: 3440 6: 13756
7d: 3364 7c: 3497 7s: 3255 7h: 3426 7: 13542
8d: 3494 8c: 3497 8s: 3351 8h: 3467 8: 13809
9d: 3392 9c: 3434 9s: 3435 9h: 3511 9: 13772
Td: 3292 Tc: 3342 Ts: 3521 Th: 3480 T: 13635
Jd: 3383 Jc: 3452 Js: 3422 Jh: 3505 J: 13762
Qd: 3414 Qc: 3404 Qs: 3347 Qh: 3300 Q: 13465
Kd: 3438 Kc: 3369 Ks: 3344 Kh: 3353 K: 13504
d: 44243 c: 44838 s: 44282 h: 44639

Card counts on Turn (41588 turns):
Ad: 786 Ac: 760 As: 766 Ah: 744 A: 3056
2d: 861 2c: 855 2s: 856 2h: 850 2: 3422
3d: 808 3c: 765 3s: 771 3h: 802 3: 3146
4d: 767 4c: 772 4s: 792 4h: 814 4: 3145
5d: 775 5c: 816 5s: 814 5h: 784 5: 3189
6d: 827 6c: 762 6s: 853 6h: 794 6: 3236
7d: 818 7c: 795 7s: 779 7h: 802 7: 3194
8d: 832 8c: 823 8s: 771 8h: 816 8: 3242
9d: 768 9c: 819 9s: 796 9h: 876 9: 3259
Td: 785 Tc: 819 Ts: 774 Th: 795 T: 3173
Jd: 802 Jc: 803 Js: 801 Jh: 801 J: 3207
Qd: 799 Qc: 788 Qs: 812 Qh: 775 Q: 3174
Kd: 786 Kc: 818 Ks: 745 Kh: 796 K: 3145
d: 10414 c: 10395 s: 10330 h: 10449

Card counts on River (33479 rivers):
Ad: 607 Ac: 638 As: 664 Ah: 650 A: 2559
2d: 681 2c: 653 2s: 656 2h: 645 2: 2635
3d: 662 3c: 612 3s: 612 3h: 645 3: 2531
4d: 649 4c: 619 4s: 652 4h: 651 4: 2571
5d: 665 5c: 646 5s: 670 5h: 614 5: 2595
6d: 666 6c: 622 6s: 642 6h: 645 6: 2575
7d: 629 7c: 646 7s: 631 7h: 659 7: 2565
8d: 648 8c: 677 8s: 630 8h: 626 8: 2581
9d: 657 9c: 642 9s: 616 9h: 686 9: 2601
Td: 670 Tc: 634 Ts: 632 Th: 640 T: 2576
Jd: 617 Jc: 624 Js: 606 Jh: 638 J: 2485
Qd: 641 Qc: 689 Qs: 635 Qh: 668 Q: 2633
Kd: 627 Kc: 664 Ks: 651 Kh: 630 K: 2572
d: 8419 c: 8366 s: 8297 h: 8397
</pre><hr>

As usual, any and all comments are welcome.

[mongeron]

Here is the older analysis with totals and better layout:

<pre><font class="small">code:</font><hr>
Flushed flops: Three-flushes: 8777 Two-flushes: 92599 Rainbows: 67156

Card counts on Flop (168532 flops):
Ad: 9369 Ac: 9735 As: 9600 Ah: 9414 A: 38118
2d: 9758 2c: 9815 2s: 9830 2h: 9889 2: 39292
3d: 9803 3c: 9896 3s: 9583 3h: 9784 3: 39066
4d: 9852 4c: 9922 4s: 9825 4h: 9742 4: 39341
5d: 9744 5c: 9634 5s: 9681 5h: 9753 5: 38812
6d: 9663 6c: 9692 6s: 9631 6h: 9805 6: 38791
7d: 9668 7c: 9900 7s: 9659 7h: 9725 7: 38952
8d: 9790 8c: 9825 8s: 9677 8h: 9972 8: 39264
9d: 9536 9c: 9758 9s: 9917 9h: 9813 9: 39024
Td: 9532 Tc: 9636 Ts: 9793 Th: 9650 T: 38611
Jd: 9767 Jc: 9714 Js: 9708 Jh: 9726 J: 38915
Qd: 9695 Qc: 9757 Qs: 9833 Qh: 9530 Q: 38815
Kd: 9736 Kc: 9762 Ks: 9489 Kh: 9608 K: 38595
d: 125913 c: 127046 s: 126226 h: 126411

Card counts on Turn (128405 turns):

Ad: 2459 Ac: 2370 As: 2402 Ah: 2322 A: 9553
2d: 2558 2c: 2493 2s: 2524 2h: 2535 2: 10110
3d: 2514 3c: 2513 3s: 2490 3h: 2491 3: 10008
4d: 2477 4c: 2526 4s: 2486 4h: 2505 4: 9994
5d: 2363 5c: 2497 5s: 2473 5h: 2495 5: 9828
6d: 2448 6c: 2417 6s: 2505 6h: 2479 6: 9849
7d: 2483 7c: 2519 7s: 2452 7h: 2530 7: 9984
8d: 2480 8c: 2539 8s: 2471 8h: 2484 8: 9974
9d: 2417 9c: 2463 9s: 2439 9h: 2501 9: 9820
Td: 2461 Tc: 2487 Ts: 2401 Th: 2461 T: 9810
Jd: 2447 Jc: 2449 Js: 2492 Jh: 2488 J: 9876
Qd: 2439 Qc: 2405 Qs: 2499 Qh: 2418 Q: 9761
Kd: 2429 Kc: 2428 Ks: 2522 Kh: 2459 K: 9838
d: 31975 c: 32106 s: 32156 h: 32168

Card counts on River (104586 rivers):

Ad: 1891 Ac: 2022 As: 2033 Ah: 1994 A: 7940
2d: 2092 2c: 2056 2s: 2017 2h: 2047 2: 8212
3d: 2031 3c: 1981 3s: 1945 3h: 2020 3: 7977
4d: 2007 4c: 2034 4s: 2043 4h: 2037 4: 8121
5d: 2015 5c: 2045 5s: 1977 5h: 1957 5: 7994
6d: 2072 6c: 1980 6s: 2024 6h: 1964 6: 8040
7d: 2011 7c: 1981 7s: 1995 7h: 1978 7: 7965
8d: 2025 8c: 2024 8s: 2039 8h: 1972 8: 8060
9d: 2050 9c: 1967 9s: 2052 9h: 2020 9: 8089
Td: 2021 Tc: 1993 Ts: 2077 Th: 2003 T: 8094
Jd: 1997 Jc: 2029 Js: 2003 Jh: 2006 J: 8035
Qd: 2058 Qc: 1956 Qs: 2004 Qh: 1988 Q: 8006
Kd: 1971 Kc: 2038 Ks: 2058 Kh: 1986 K: 8053
d: 26241 c: 26106 s: 26267 h: 25972

</pre><hr>

- mongeron

[Tom D]

You, Thwang99, Lorinda, and GrannyMae have difficulty distinguishing an analysis from a mere collection of raw data. To be an analysis, the data would have to have been probed with all those nifty statistical tools, like standard deviation, variance, mean, mode, etc., etc. In short, before you can call something an analysis, something actually has to have been analyzed.

Tom D

[mbpoker]

HodemGuy hypothesis: There are more aces on Stars flops than there shoud be.

Mongeron data: Shows that this hypothesis is false.

[GrannyMae]

HodemGuy hypothesis: There are more aces on Stars flops than there shoud be.

Mongeron data: Shows that this hypothesis is false.


Tom Kook's comments : riveting analysis and interpretation

[mongeron]

This was just the feedback I wanted, thanks! I will calculate these metrics for the data. Any other statistical operations you would like to see?

- mongeron

[Tom D]

I didn’t say I wanted to see anything; I just said that what you posted isn’t an analysis.

Tom D

[TimTimSalabim]

However, a hypothesis that there are more *Deuces* on every street than there should be, *might* be valid.

But, as someone pointed out, some statistical analysis is needed to determine whether those numbers are out of whack or not. The raw data doesn't tell us anything, except that it led me to the above hypothesis, which needs analysis to determine whether it has any validity.

[Jim Easton]

I think the mean and the SD should satisfy most people. They have access to the data if they want more.

I sent you a PM.