the game is a k shot roulette such that k>=3.
The min bet is 1 points.
There's 1 guy who bet 10000 points
There's n other players such that 1<=n<=11, who bet 100 points each.
Assume everyone are cowards who only pulls the gun once.
Assume the gun never jams.
Assume your max bet is 11100 points.
Q1. Assume k=12 and n=2, how many points should you bet for maximum profit?
(Hint: derive the equation once and find it's root!)