well, since it is not mentioned that everyone gets to shoot only once, C can keep shooting A & B until both are dead... case solved :-))
On Sat, Jan 1, 2011 at 8:29 PM, Dave <dave_and_da...@juno.com> wrote: > @Rahul: If shooter C shoots into the air, doesn't he still have only a > 33% chance of hitting it? If so, then he would have a 67% chance of > hitting B or C, or, I suppose, himself. :-) > > This brings up another alternative. In round 1 he shoots himself in > the foot. If he is successful (33% of the time), he is certain to > survive the duel because he is out as soon as he is hit. If he is > unsuccessful (67% of the time), the result is the same as if he had > shot into the air, i.e., he survives with probability 66/133 ~= > 0.49624. Putting this all together, by shooting himself in the foot, > his probability of survival increases to about 0.66248. :-) > > Dave > > On Jan 1, 6:58 am, RAHUL KUJUR <kujurismonu2...@gmail.com> wrote: > > Suppose three gunmen are A, B, and C who have a probability of 100%, 50% > and > > 33% respectively. The shooting will start from C, then B and at last A. > > Now there are several possibilities for C. If C shoots B, then A would > shoot > > C with an accuracy of 100% or in other case if C shoots A, then B would > > shoot him with an accuracy of 50%. So he has a probability of getting > > killed. We can see in either of the cases C will die. > > So what C will do in first round is that it will fire the shot in air. > Now > > the scenario gets interesting. By doing this C has turned the battle > among > > three people into two people A and B. This will increase the chances of > > survival of C. So now its B's turn of firing. So he can fire at either A > or > > C. If B fires at C, then A will shoot B with an accuracy of 100% and B > knows > > that he will surely die so B won't do that. If B shoots A, then C will > shoot > > B. > > I think this is the solution. Please point out if there are any > loopholes. > > -- > You received this message because you are subscribed to the Google Groups > "Algorithm Geeks" group. > To post to this group, send email to algoge...@googlegroups.com. > To unsubscribe from this group, send email to > algogeeks+unsubscr...@googlegroups.com<algogeeks%2bunsubscr...@googlegroups.com> > . > For more options, visit this group at > http://groups.google.com/group/algogeeks?hl=en. > > -- -------- Thanks & Regards Salil Joshi. CSE MTech II, IITB A-414, Hostel 12 +91.9819.442.865 This is a confidential E-Mail. If it has reached you by mistake or if you are not the intended receiver, please send it back to me. -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
