- Three
- men: Fermat,
- Galois, and Hilbert,
- decide to fight a pistol duel.
- They'll stand at the corners
of an
- equilateral triangle, and each
man, in
- order, will aim and shoot wherever
he pleases.
- They choose randomly who will
be shooting first,
- second, and third, and will continue
in order until two
- of them are dead. All three know Fermat always hits his
- target, Galois is 80% accurate,
and Hilbert hits his mark half
- the time. Assuming
that all three adopt the best strategy and that
- nobody is killed by a wild
shot not intended for him, who has the best
- chance to survive, and why?
1 bonus pt: find the survival probabilities
for each man.
- Explain your reasoning
carefully. Bonus answer not req'd. One pt penalty for resubmissions.
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-
- Who is most likely
to survive?
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