If a hole is made in an empty mug and it is filled completely with water, then the pressure at which the water comes out of the holes is

Dear Student,
Your question is incomplete if you want exact values of pressure.
But theoretically speaking,
Suppose the hole is made at a depth h from the top of the mug which is open.
Then,
The pressure exerted at that dept= Pressure due to the liquid(here water) + Atmospheric pressure.
Therefore,
Pressure= Density of liquid* Acceleration due to gravity* Depth + Atm. pressure.
Pressure= d*g*h + Atm.Pressure.

Regards