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$3$ people $A,B,C$ are shooting each other. The chance that $A$ will hit in a single shot is $0.2$, The chance for $B$ to hit is $0.3$ and for $C$ is $0.1$.
If one hit a person, he will continue to hit until he'll be the last one.
What is the chance for each one of the people $A,B,C$ to be alive?
I think that $A$ will be alive if he shot $B$ and $B$ will miss him. Also $A$ hit $C$ and $C$ will miss him. But I think it's more complex than that and I'm confused.
I'd glad if someone can clear this question for me.