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Roll Dice Probabilities

PostPosted: Thu Jun 13, 2013 8:18 pm
by Tensegravz
Heres Some calcul !
All those percentage are calculate without Attack or Defense Bonus !

*Formula* - the probability of a number of dice. For n dice, this is 1/(6n). ***For example, the probability for throwing 5 dice and getting them all sixes is 1/(65) = 1/(6x6x6x6x6) = 1/7776 = 0.000128 or 7775 to 1

*1 Die*
16.67% chance to get 1 to 6 right ?

*2 Dices*
2 = 2.78%
3 = 5.56%
4 = 8.33%
5 = 11.11%
6 = 13.89%
7 = 16.67% --- Highest Prob.
8 = 13.89%
9 = 11.11%
10 = 8.33%
11 = 5.56%
12 = 2.7%

*3 Dices*
3 = 0.46%
4 = 1.38%
5 = 2.77%
6 = 4.62%
7 = 6.94%
8 = 9.72%
9 = 11.57%
10 = 12.5% --- Highest Prob.
11 = 12.5% --- Highest Prob.
12 = 11.57%
13 = 9.72%
14 = 6.94%
15 = 4.62%
16 = 2.77%
17 = 1.38%
18 = 0.46%

*4 Dices*
4 = 0.0771604938272
5 = 0.308641975309
6 = 0.771604938272
7 = 1.54320987654
8 = 2.70061728395
9 = 4.32098765432
10 = 6.17283950617
11 = 8.02469135802
12 = 9.6450617284
13 = 10.8024691358
14 = 11.2654320988 --- Highest Prob.
15 = 10.8024691358
16 = 9.6450617284
17 = 8.02469135802
18 = 6.17283950617
19 = 4.32098765432
20 = 2.70061728395
21 = 1.54320987654
22 = 0.771604938272
23 = 0.308641975309
24 = 0.0771604938272

*5 Dices*
5 = 0.0128600823045
6 = 0.0643004115226
7 = 0.192901234568
8 = 0.450102880658
9 = 0.900205761317
10 = 1.62037037037
11 = 2.63631687243
12 = 3.92232510288
13 = 5.4012345679
14 = 6.94444444444
15 = 8.37191358025
16 = 9.45216049383
17 = 10.0308641975 --- Highest Prob.
18 = 10.0308641975 --- Highest Prob.
19 = 9.45216049383
20 = 8.37191358025
21 = 6.94444444444
22 = 5.4012345679
23 = 3.92232510288
24 = 2.63631687243
25 = 1.62037037037
26 = 0.900205761317
27 = 0.450102880658
28 = 0.192901234568
29 = 0.0643004115226
30 = 0.0128600823045

*6 Dices*
6 = 0.00214334705075
7 = 0.0128600823045
8 = 0.0450102880658
9 = 0.120027434842
10 = 0.270061728395
11 = 0.54012345679
12 = 0.977366255144
13 = 1.62037037037
14 = 2.48842592593
15 = 3.57081618656
16 = 4.81610082305
17 = 6.12139917695
18 = 7.35382373114
19 = 8.37191358025
20 = 9.04706790123
21 = 9.28497942387 --- Highest Prob.
22 = 9.04706790123
23 = 8.37191358025
24 = 7.35382373114
25 = 6.12139917695
26 = 4.81610082305
27 = 3.57081618656
28 = 2.48842592593
29 = 1.62037037037
30 = 0.977366255144
31 = 0.54012345679
32 = 0.270061728395
33 = 0.120027434842
34 = 0.0450102880658
35 = 0.0128600823045
36 = 0.00214334705075

*7 Dices*
7 = 0.000357224508459
8 = 0.00250057155921
9 = 0.0100022862369
10 = 0.0300068587106
11 = 0.0750171467764
12 = 0.165037722908
13 = 0.327574874257
14 = 0.595493255601
15 = 1.00272919524
16 = 1.57786065386
17 = 2.33553383631
18 = 3.26574645633
19 = 4.328489369
20 = 5.45374657064
21 = 6.54685356653
22 = 7.49921410608
23 = 8.20437528578
24 = 8.57946101966 --- Highest Prob.
25 = 8.57946101966 --- Highest Prob.
26 = 8.20437528578
27 = 7.49921410608
28 = 6.54685356653
29 = 5.45374657064
30 = 4.328489369
31 = 3.26574645633
32 = 2.33553383631
33 = 1.57786065386
34 = 1.00272919524
35 = 0.595493255601
36 = 0.327574874257
37 = 0.165037722908
38 = 0.0750171467764
39 = 0.0300068587106
40 = 0.0100022862369
41 = 0.00250057155921
42 = 0.000357224508459

*8 Dices*
8 = 0.0000595374180765
9 = 0.000476299344612
10 = 0.00214334705075
11 = 0.00714449016918
12 = 0.0196473479652
13 = 0.0471536351166
14 = 0.101689910075
15 = 0.200522024082
16 = 0.365976508916
17 = 0.623952141442
18 = 1.00070492303
19 = 1.51748971193
20 = 2.18430879439
21 = 2.99401768023
22 = 3.91803840878
23 = 4.90493065082
24 = 5.88307089239
25 = 6.76868998628
26 = 7.47718526139
27 = 7.93562338058
28 = 8.09435013717 --- Highest prob.
29 = 7.93562338058
30 = 7.47718526139
31 = 6.76868998628
32 = 5.88307089239
33 = 4.90493065082
34 = 3.91803840878
35 = 2.99401768023
36 = 2.18430879439
37 = 1.51748971193
38 = 1.00070492303
39 = 0.623952141442
40 = 0.365976508916
41 = 0.200522024082
42 = 0.101689910075
43 = 0.0471536351166
44 = 0.0196473479652
45 = 0.00714449016918
46 = 0.00214334705075
47 = 0.000476299344612
48 = 0.0000595374180765

Re: Roll Dice Probabilities

PostPosted: Sat Jul 13, 2013 2:18 pm
by Slengar
*Formula*

You lost me there. O.o
But UncleAdolf managed a 47 earlier. O.o

Re: Roll Dice Probabilities

PostPosted: Sat Jul 13, 2013 2:31 pm
by Ryankill
Slengar wrote:*Formula*

You lost me there. O.o
But UncleAdolf managed a 47 earlier. O.o


what race?

Re: Roll Dice Probabilities

PostPosted: Sat Jul 13, 2013 2:32 pm
by Slengar
Arachnids.

Re: Roll Dice Probabilities

PostPosted: Sat Jul 13, 2013 2:53 pm
by Autumnwolf17
Dice is the plural form, die is singular.

Re: Roll Dice Probabilities

PostPosted: Sat Jul 13, 2013 2:53 pm
by Vortex_Master
Die is singular, Dice is plural. The first should be "1 Die" the rest should be "# Dice."
(Sorry, one of my biggest pet peeves.)

Re: Roll Dice Probabilities

PostPosted: Sat Jul 13, 2013 2:55 pm
by Autumnwolf17
Vortex_Master wrote:Die is singular, Dice is plural. The first should be "1 Die" the rest should be "# Dice."
(Sorry, one of my biggest pet peeves.)

My pet peeve is when people copy what I just said and try to look original doing so. :? :|

Re: Roll Dice Probabilities

PostPosted: Sat Jul 13, 2013 2:57 pm
by Vortex_Master
Autumnwolf17 wrote:
Vortex_Master wrote:Die is singular, Dice is plural. The first should be "1 Die" the rest should be "# Dice."
(Sorry, one of my biggest pet peeves.)

My pet peeve is when people copy what I just said and try to look original doing so. :? :|

My pet peeve is when I post at the exact same time as someone with the same comment and mine goes second. :P

Re: Roll Dice Probabilities

PostPosted: Sat Jul 13, 2013 2:57 pm
by Autumnwolf17
Vortex_Master wrote:
Autumnwolf17 wrote:
Vortex_Master wrote:Die is singular, Dice is plural. The first should be "1 Die" the rest should be "# Dice."
(Sorry, one of my biggest pet peeves.)

My pet peeve is when people copy what I just said and try to look original doing so. :? :|

My pet peeve is when I post at the exact same time as someone with the same comment and mine goes second. :P

My pet peeve is named Fluffy.

Re: Roll Dice Probabilities

PostPosted: Sun Jul 14, 2013 7:54 am
by attackbomb
i see all these numbers

you broke my mind