# wow basic fight problem [closed]

So I've been working on this problem related to World of Warcraft, and I'm just not able to solve it.

Basically, let's say player 1 has $500$ health, does $100$ to $200$ damage, and has $5%$ miss. Player 2 has $1000$ health, does $50$ to $100$ damage, and has $5%$ miss. What's the probability of player 1 winning?

The way I thought of solving this would be by coming up with a function that gives the probability of player 1 killing player 2 in $0,1,...$ seconds (weapon speed is $1$ second in both cases). I would do the same for player 2 and then the probability of player 1 winning would be the probability of player 1 killing player 2 in $0$ seconds times the sum of the probability of player 2 killing player 1 in more then $0$ seconds, and then repeat for all in player 1.

But the problem is that there are infinitely many probabilities to check and I don't know how to get to a precise probability. Also I need to take into account the proability of a tie which I believe is just a coin toss in World of Warcraft. So anyone have any ideas? Also ideally I would need to be able to solve this problem for any stats on players.

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Please use proper grammar. It is difficult to read this. –  Sujaan Kunalan Jul 25 at 16:12
Do you know what a linebreak is? –  rschwieb Jul 25 at 16:18
There is not nearly enough information about how combat works in WoW for us to solve this problem. –  Thomas Andrews Jul 25 at 16:58
@ThomasAndrews Reminds me of MULTIVAC. "Not enough information for a significant answer." –  Pedro Tamaroff Jul 25 at 17:08