@Salil: Working out the probabilities, we find that:

1. If C initially shoots at A, C's probability of survival is ~
0.35867.
2. If C initially shoots at B, C's probability of survival is ~
0.27679.
3. If C initially shoots in the air, C's probability of survival is ~
0.49624.

Dave

On Jan 1, 11:30 am, Salil Joshi <joshi.sali...@gmail.com> wrote:
> @Rahul,
> As per my understanding,
> In any round P(C is dead) = P(A is alive * A shoots C * A's shot is
> accurate) + P(B is alive * B shoots C * B's shot is accurate)
> this is to be minimized.
> by not shooting at either A or B in 1st chance, how is this probability less
> for C?
>
> On Sat, Jan 1, 2011 at 10:43 PM, Salil Joshi <joshi.sali...@gmail.com>wrote:
>
>
>
>
>
> > @Rahul,
> > What purpose is served by wasting the shot? If C shoots at A or B, at least
> > some probability that C is dead in future will be reduced.
>
> > On Sat, Jan 1, 2011 at 10:14 PM, RAHUL KUJUR 
> > <kujurismonu2...@gmail.com>wrote:
>
> >> @snehal:
> >> will the shooting take place in increasing order of accuracy of hitting
> >> the target and is that at a time only one person can take a shot???
> >> if yes then
> >> @Salil:
> >> my answer would be the same as above. what C will do is that it will first
> >> let A and B kill each other first.
> >> After C wastes his shot it will be B's turn. B can kill C, but in that
> >> case the turn would go to A and he would surely kill B. If B goes after A,
> >> then B may hit it or miss it(as its probability of hitting is 50%)
> >> If B misses it
> >> then
> >> it depends on A whom to kill. A may kill B or C. A will try to kill one
> >> who is better shooter i.e. B as C is less likely to hit A.
> >> If B hits A then we are done. Round 1 is complete(as required in the
> >> question) and C survives the first round.
> >> Look the problem is not that who gets killed at last but rather what C
> >> should fire in the first round obviously to survive(as I understood the
> >> problem). It may happen that eventually C gets killed. But what should C
> >> shoot in first round to survive.
>
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> > --
>
> > --------
> > 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
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>
> --
>
> --------
> 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
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