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Una curiosa coincidenza
Inviato: sab lug 08, 2017 3:49 pm
da franco
Che io lanci N oppure M dadi a 6 facce, ho la stessa probabilità P di ottenere una determinata somma S dei punteggi.
N e M non sono uguali e sono compresi fra 1 e 8.
Determinare N, M, P e S.
diophante.fr G190
Re: Una curiosa coincidenza
Inviato: mar lug 11, 2017 4:49 am
da Pasquale
Fatto a mano: con 4 e 7 dadi, probabilità 0,0432... per ottenere 19 punti.
Re: Una curiosa coincidenza
Inviato: ven mar 09, 2018 9:43 pm
da Quelo
A me esce 3 e 5 dadi con probabilità 5/72 di ottenere somma 14
Codice: Seleziona tutto
Somma Occorrenze Probabilità
1 1 1/6
2 1 1/6
3 1 1/6
4 1 1/6
5 1 1/6
6 1 1/6
2 1 1/36
3 2 1/18
4 3 1/12
5 4 1/9
6 5 5/36
7 6 1/6
8 5 5/36
9 4 1/9
10 3 1/12
11 2 1/18
12 1 1/36
3 1 1/216
4 3 1/72
5 6 1/36
6 10 5/108
7 15 5/72
8 21 7/72
9 25 25/216
10 27 1/8
11 27 1/8
12 25 25/216
13 21 7/72
14 15 5/72
15 10 5/108
16 6 1/36
17 3 1/72
18 1 1/216
4 1 1/1296
5 4 1/324
6 10 5/648
7 20 5/324
8 35 35/1296
9 56 7/162
10 80 5/81
11 104 13/162
12 125 125/1296
13 140 35/324
14 146 73/648
15 140 35/324
16 125 125/1296
17 104 13/162
18 80 5/81
19 56 7/162
20 35 35/1296
21 20 5/324
22 10 5/648
23 4 1/324
24 1 1/1296
5 1 1/7776
6 5 5/7776
7 15 5/2592
8 35 35/7776
9 70 35/3888
10 126 7/432
11 205 205/7776
12 305 305/7776
13 420 35/648
14 540 5/72
15 651 217/2592
16 735 245/2592
17 780 65/648
18 780 65/648
19 735 245/2592
20 651 217/2592
21 540 5/72
22 420 35/648
23 305 305/7776
24 205 205/7776
25 126 7/432
26 70 35/3888
27 35 35/7776
28 15 5/2592
29 5 5/7776
30 1 1/7776
6 1 1/46656
7 6 1/7776
8 21 7/15552
9 56 7/5832
10 126 7/2592
11 252 7/1296
12 456 19/1944
13 756 7/432
14 1161 43/1728
15 1666 833/23328
16 2247 749/15552
17 2856 119/1944
18 3431 3431/46656
19 3906 217/2592
20 4221 469/5184
21 4332 361/3888
22 4221 469/5184
23 3906 217/2592
24 3431 3431/46656
25 2856 119/1944
26 2247 749/15552
27 1666 833/23328
28 1161 43/1728
29 756 7/432
30 456 19/1944
31 252 7/1296
32 126 7/2592
33 56 7/5832
34 21 7/15552
35 6 1/7776
36 1 1/46656
7 1 1/279936
8 7 7/279936
9 28 7/69984
10 84 7/23328
11 210 35/46656
12 462 77/46656
13 917 917/279936
14 1667 1667/279936
15 2807 2807/279936
16 4417 4417/279936
17 6538 3269/139968
18 9142 4571/139968
19 12117 4039/93312
20 15267 5089/93312
21 18327 6109/93312
22 20993 20993/279936
23 22967 22967/279936
24 24017 24017/279936
25 24017 24017/279936
26 22967 22967/279936
27 20993 20993/279936
28 18327 6109/93312
29 15267 5089/93312
30 12117 4039/93312
31 9142 4571/139968
32 6538 3269/139968
33 4417 4417/279936
34 2807 2807/279936
35 1667 1667/279936
36 917 917/279936
37 462 77/46656
38 210 35/46656
39 84 7/23328
40 28 7/69984
41 7 7/279936
42 1 1/279936
8 1 1/1679616
9 8 1/209952
10 36 1/46656
11 120 5/69984
12 330 55/279936
13 792 11/23328
14 1708 427/419904
15 3368 421/209952
16 6147 683/186624
17 10480 655/104976
18 16808 2101/209952
19 25488 59/3888
20 36688 2293/104976
21 50288 3143/104976
22 65808 457/11664
23 82384 5149/104976
24 98813 98813/1679616
25 113688 1579/23328
26 125588 31397/419904
27 133288 16661/209952
28 135954 7553/93312
29 133288 16661/209952
30 125588 31397/419904
31 113688 1579/23328
32 98813 98813/1679616
33 82384 5149/104976
34 65808 457/11664
35 50288 3143/104976
36 36688 2293/104976
37 25488 59/3888
38 16808 2101/209952
39 10480 655/104976
40 6147 683/186624
41 3368 421/209952
42 1708 427/419904
43 792 11/23328
44 330 55/279936
45 120 5/69984
46 36 1/46656
47 8 1/209952
48 1 1/1679616