Question

due to which property the coin directly falls into glass

Answer 1

Oh, Due to inertia of rest, the coin tends to be at rest.
that the force of friction between the coin and the board is not great enough to overcome the inertia of the coin
The inertial of the coin is very high overpowers the forces that hold it to the board. When the board is abruptly removed, the coin stays behind. It's the same principle as the old trick of pulling a tablecloth off while leaving the dishes behind. With a slower movement, the coin would stay with the card.

Answer 2

it's inertia brother.
Inertia is by the way the tendency of an object to resist the change of motion.
so what actually happens is when you move the paper card you apply force to the card but the coin resist the force since the coin is not in contact with your hand .
if you click the paper really fast then the coin falls in the glass.
but what if you click it slow.
You know the coin is put over the card and they have small holes in them which creates friction between them so when you flick slow you can't overcome the force of friction between them and both the coin and card are displaced.
Don't take tension about inertia much.
usually in exams they will only ask decimation or some examples