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Shooting match probabilities

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In a single duel, Shooter A hits target with a probability of 1/3. B with 1/2. C never misses. ABC fire in turns, A going first, B next, and C last. Shooting cycle repeats until only one dueler has not been hit. Use random # x, where 0 <= x <=1.

What happens if the shooter hits the deadliest shooter first?

in 10,000 duels, how many will A win? B win? C?

What happens if the first shot is intentionally missed?

What is the better strategy shooting the deadliest one or the weakest one?

Who has better chance of winning the worst or the best shooter?

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Solution Summary

The solution answers a probability question that involves a shooting match.

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