久々にプログラムを組んで調べてみた。
6-7-8が最もドボン率が低いのね。直感的には、もっと広く散っているかと思ってた。

tcasesdiceAliveDead
1311192"6,7,8"92.0%8.0%
1161185"5,7,8"91.4%8.6%
1321185"6,7,9"91.4%8.6%
901181"4,6,8"91.1%8.9%
1371181"6,8,10"91.1%8.9%
951170"4,7,8"90.3%9.7%
1331170"6,7,10"90.3%9.7%
1111160"5,6,8"89.5%10.5%
1361160"6,8,9"89.5%10.5%
671157"3,7,8"89.3%10.7%
961157"4,7,9"89.3%10.7%
1181157"5,7,10"89.3%10.7%
1341157"6,7,11"89.3%10.7%
311154"2,7,8"89.0%11.0%
1351154"6,7,12"89.0%11.0%
1101149"5,6,7"88.7%11.3%
1461149"7,8,9"88.7%11.3%
891148"4,6,7"88.6%11.4%
1471148"7,8,10"88.6%11.4%
261145"2,6,8"88.3%11.7%
921145"4,6,10"88.3%11.7%
1011145"4,8,10"88.3%11.7%
1391145"6,8,12"88.3%11.7%
971136"4,7,10"87.7%12.3%
1121123"5,6,9"86.7%13.3%
1211123"5,8,9"86.7%13.3%
611121"3,6,7"86.5%13.5%
1481121"7,8,11"86.5%13.5%
251120"2,6,7"86.4%13.6%
911120"4,6,9"86.4%13.6%
1221120"5,8,10"86.4%13.6%
1491120"7,8,12"86.4%13.6%
1001118"4,8,9"86.3%13.7%
1131118"5,6,10"86.3%13.7%
621106"3,6,8"85.3%14.7%
1171106"5,7,9"85.3%14.7%
1381106"6,8,11"85.3%14.7%
831099"4,5,7"84.8%15.2%
1501099"7,9,10"84.8%15.2%
841096"4,5,8"84.6%15.4%
1401096"6,9,10"84.6%15.4%
681092"3,7,9"84.3%15.7%
1191092"5,7,11"84.3%15.7%
321083"2,7,9"83.6%16.4%
691083"3,7,10"83.6%16.4%
721083"3,8,9"83.6%16.4%
981083"4,7,11"83.6%16.4%
1141083"5,6,11"83.6%16.4%
1201083"5,7,12"83.6%16.4%
271080"2,6,9"83.3%16.7%
331080"2,7,10"83.3%16.7%
731080"3,8,10"83.3%16.7%
931080"4,6,11"83.3%16.7%
991080"4,7,12"83.3%16.7%
1241080"5,8,12"83.3%16.7%
201074"2,5,8"82.9%17.1%
1421074"6,9,12"82.9%17.1%
631071"3,6,9"82.6%17.4%
1231071"5,8,11"82.6%17.4%
361066"2,8,9"82.3%17.7%
641066"3,6,10"82.3%17.7%
861066"4,5,10"82.3%17.7%
1021066"4,8,11"82.3%17.7%
1041066"4,9,10"82.3%17.7%
1151066"5,6,12"82.3%17.7%
131057"2,4,8"81.6%18.4%
371057"2,8,10"81.6%18.4%
941057"4,6,12"81.6%18.4%
1441057"6,10,12"81.6%18.4%
281051"2,6,10"81.1%18.9%
1031051"4,8,12"81.1%18.9%
191049"2,5,7"80.9%19.1%
1521049"7,9,12"80.9%19.1%
561047"3,5,8"80.8%19.2%
1411047"6,9,11"80.8%19.2%
121046"2,4,7"80.7%19.3%
1541046"7,10,12"80.7%19.3%
851035"4,5,9"79.9%20.1%
1251035"5,9,10"79.9%20.1%
491032"3,4,8"79.6%20.4%
821032"4,5,6"79.6%20.4%
1431032"6,10,11"79.6%20.4%
1561032"8,9,10"79.6%20.4%
481025"3,4,7"79.1%20.9%
1531025"7,10,11"79.1%20.9%
551020"3,5,7"78.7%21.3%
1511020"7,9,11"78.7%21.3%
351012"2,7,12"78.1%21.9%
341009"2,7,11"77.9%22.1%
501009"3,4,9"77.9%22.1%
711009"3,7,12"77.9%22.1%
761009"3,9,10"77.9%22.1%
871009"4,5,11"77.9%22.1%
1281009"5,10,11"77.9%22.1%
571006"3,5,9"77.6%22.4%
701006"3,7,11"77.6%22.4%
1261006"5,9,11"77.6%22.4%
54999"3,5,6"77.1%22.9%
157999"8,9,11"77.1%22.9%
18998"2,5,6"77.0%23.0%
158998"8,9,12"77.0%23.0%
21985"2,5,9"76.0%24.0%
127985"5,9,12"76.0%24.0%
11983"2,4,6"75.8%24.2%
58983"3,5,10"75.8%24.2%
65983"3,6,11"75.8%24.2%
74983"3,8,11"75.8%24.2%
105983"4,9,11"75.8%24.2%
160983"8,10,12"75.8%24.2%
5980"2,3,8"75.6%24.4%
14980"2,4,9"75.6%24.4%
22980"2,5,10"75.6%24.4%
29980"2,6,11"75.6%24.4%
51980"3,4,10"75.6%24.4%
75980"3,8,12"75.6%24.4%
106980"4,9,12"75.6%24.4%
107980"4,10,11"75.6%24.4%
129980"5,10,12"75.6%24.4%
145980"6,11,12"75.6%24.4%
4975"2,3,7"75.2%24.8%
155975"7,11,12"75.2%24.8%
47962"3,4,6"74.2%25.8%
159962"8,10,11"74.2%25.8%
15957"2,4,10"73.8%26.2%
30957"2,6,12"73.8%26.2%
39957"2,8,12"73.8%26.2%
108957"4,10,12"73.8%26.2%
38954"2,8,11"73.6%26.4%
66954"3,6,12"73.6%26.4%
6923"2,3,9"71.2%28.8%
23923"2,5,11"71.2%28.8%
78923"3,9,12"71.2%28.8%
130923"5,11,12"71.2%28.8%
40920"2,9,10"71.0%29.0%
59920"3,5,11"71.0%29.0%
77920"3,9,11"71.0%29.0%
88920"4,5,12"71.0%29.0%
3886"2,3,6"68.4%31.6%
161886"8,11,12"68.4%31.6%
46867"3,4,5"66.9%33.1%
162867"9,10,11"66.9%33.1%
10852"2,4,5"65.7%34.3%
163852"9,10,12"65.7%34.3%
52851"3,4,11"65.7%34.3%
79851"3,10,11"65.7%34.3%
41825"2,9,11"63.7%36.3%
60825"3,5,12"63.7%36.3%
7822"2,3,10"63.4%36.6%
16822"2,4,11"63.4%36.6%
24822"2,5,12"63.4%36.6%
42822"2,9,12"63.4%36.6%
80822"3,10,12"63.4%36.6%
109822"4,11,12"63.4%36.6%
2757"2,3,5"58.4%41.6%
164757"9,11,12"58.4%41.6%
43750"2,10,11"57.9%42.1%
53750"3,4,12"57.9%42.1%
17715"2,4,12"55.2%44.8%
44715"2,10,12"55.2%44.8%
8681"2,3,11"52.5%47.5%
81681"3,11,12"52.5%47.5%
1676"2,3,4"52.2%47.8%
165676"10,11,12"52.2%47.8%
9568"2,3,12"43.8%56.2%
45568"2,11,12"43.8%56.2%

※コード

Prime=[1,1,2,3,5,7,11,13,17,19,23,29,31]
Kai=[0]
for t in 0..164
Kai[t]=0
end
seki=0

for a in 1..6
for b in 1..6
for c in 1..6
for d in 1..6

seki=Prime[a+b]*Prime[a+c]*Prime[a+d]*Prime[b+c]*Prime[b+d]*Prime[c+d]

t=0
for x in 2..10
for y in x+1..11
for z in y+1..12
if seki%Prime[x]*seki%Prime[y]*seki%Prime[z]==0 then
Kai[t]+=1
end
t+=1
end
end
end

end
end
end
end

p Kai

※実行

https://paiza.io/en/projects/new?language=ruby