A flip of a coin is and always be giving an equal number of probability - it always be either Head or Tail, always 50 - 50 chance. There's always had a probability that the coin will land on its edge, making it standing perfectly, not giving either any side of it. But its only about 1 / 6000. You can consider your luck been drained for many many years just for getting it to happen.
In games - especially in TTRPG, I love to find when they, the makers, include a coin flip as one of several way to decide what will happen in the game. It might decide which road the players will take, or which bottle should contain a poison and which contain its antidote, or maybe it can decide if an attack be hit or missed.
Despite the existance of polyhedral dice are more commonly used for such decision making stated above (and any other usage such as creating encounter using random tables, or how many percentages an attack lands on enemy, etc.), I see the usage of coin flipping is far more barbaric and raw. It's just like returning to the core mechanism of decision making. Its either you get hit or not, hit the enemy or miss it, go left or right, up or down, doing something or not, survive or dying. It is simple. It is clean. It's unforgiving as fuck.
Even though, after a quick browsing of the History of Polyhedral Dice used in gaming, it is clear that polyhedral dice are an obvious winner. It gave players some hope on their action - a larger windows of opportunity on are they land the minimum number to make them hit the enemy, how powerful their attack in depleating enemies health, or maybe giving a game changing moment that surprised both players and the Game Master (or Referee or Dungeon Master).
In conclussion, I know polyhedral dice will and always will be the winner for table-top games, but you can consider using a coin instead of dice if possible, for more barbaric, raw and "swish-BAM" feeling.
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