Hopefully not addingconfusion -- Q3 with strategy

来源: 2010-01-30 20:00:31 [旧帖] [给我悄悄话] 本文已被阅读:

Unless they are all smart enough to be trustworthy (in this case they all survive by missing all shots. Obviously none of them gets the lady, so pointless too), the survival probability is:

Case 1: %80 C dead first after A's 30% and B's 50%. A's survival probability here is then 80% * (3/3+3.5) = 36.9% and B is 80%-36.9%=43.1%

Case 2: %20 C survives the first round. B is then 100% dead. A's survival p here is 20%*30%=6% and C is 20%-6%=14%.

Overall, A survives 42.9%, B is 43.1% and C is 14%.

Ironic but truthful in life.