Is there an element of randomness in determining the outcome of a battle?

Exactly what it says on the tin.

Aeroplanes are interesting toys but of no military value.
— Marshal Foch
A pretty mechanical toy [...] the war will never be won by such machines.
— Lord Kitchener, on tanks

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There is a factor of +20%/-20%. For example, if a unit can deal 5 damage to unarmored, the max damage it can deal is 5 + (5*20%) = 5 + 1 = 6. The min damage it can deal is 5 - (5*20%) = 5 - 1 = 4.

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