What do we mean by fair coin? It is meant that the coin will have 50-50 probability of heads or tails. But that is fake. It will ether come up heads or tail, because the real world is deterministic.
A small nit to pick perhaps, but it doesn’t follow that the world is deterministic because the coin comes up either heads or tails. Perhaps the coin has libertarian free will and decides at the last moment which side to come up, yet we’d make the same observation that the coin was either heads or tails in this case and would be wrong to say the world is deterministic. To make a claim about determinism you need to be saying something about the future being determined (caused by) on the past. When we talk about fair coins and probabilities we are instead expressing something about our uncertainty about the future, not an expression of whether or not we think the future is determined by the past.
A small nit to pick perhaps, but it doesn’t follow that the world is deterministic because the coin comes up either heads or tails. Perhaps the coin has libertarian free will and decides at the last moment which side to come up, yet we’d make the same observation that the coin was either heads or tails in this case and would be wrong to say the world is deterministic. To make a claim about determinism you need to be saying something about the future being determined (caused by) on the past. When we talk about fair coins and probabilities we are instead expressing something about our uncertainty about the future, not an expression of whether or not we think the future is determined by the past.