Juice defies gravity

Unfortunately your answer is wrong.
It is because of the outside air pressure that the juice cannot escape the glass.
To make this more clear, we are taking a look on the forces that affect the paper lid (see image below):
1) There is the weight of the juice affecting the paper lid from above and giving pressure. This pressure can be determined with:

p = ρ ⋅ g ⋅ h

In a glass that is 10cm high this equals a force of
p= 1000 kg/m ³ ⋅ 9,81 m/s² ⋅ 0,1 m = 981 N/m² (also etwa 1000 N/m²)

2) There is the pressure of the atmosphere pressing against the lid with a force of round about 100 000 N/m²

Because the outside air pressure is weigh bigger than the hydrostatical pressure (more than 100x bigger) the lid is pushed against the rim of the glass and the fluid inside, so that the juice cannot get out of the glass.