We can simplify this even further, to a fair coin versus an unknown weighted coin.
One way of viewing the difference is to say that you have different causal models of the two situations—with an unknown weighted coin there is an extra parameter to gather evidence about, therefore gathering evidence does more to your model of the world.
We can simplify this even further, to a fair coin versus an unknown weighted coin.
One way of viewing the difference is to say that you have different causal models of the two situations—with an unknown weighted coin there is an extra parameter to gather evidence about, therefore gathering evidence does more to your model of the world.