The principle fails even in these simple cases if we carve up the space of outcomes in a more fine-grained way. As a coin or a die falls through the air, it rotates along all three of its axes, landing in a random 3D orientation. The indifference principle suggests that the resting states of coins and dice should be uniformly distributed between zero and 360 degrees for each of the three axes of rotation. But this prediction is clearly false: dice almost never land standing up on one of their corners, for example.
The only way I can parse this is that you are conflating (1) the position of a dice/coin when it makes contact with the ground and (2) its position when it stabilizes/[comes to rest]. A dice/coin can be in any position when it touches the ground but a vast majority of those are unstable, so it doesn’t remain in it for long.
The only way I can parse this is that you are conflating (1) the position of a dice/coin when it makes contact with the ground and (2) its position when it stabilizes/[comes to rest]. A dice/coin can be in any position when it touches the ground but a vast majority of those are unstable, so it doesn’t remain in it for long.