University physics – conducting concentric spheres

1. The problem statement, all variables and given/known data
Two hollow conducting spheres are connected electrically, and are charged to a potential V. The connection is then removed and the outside sphere is grounded, find the charge and potential of the inner sphere after the grounding.

2. The attempt at a solution
I’m not looking for a full solution as that would be (in my eyes) cheating, but my question is whether or not there WILL be a charge on the inner sphere. If all the charge resides on the surface of a conductor, and the spheres are electrically connected, surely all the charge will just reside on the outside of the outer sphere.

Hence, after grounding, wouldn’t the charge on both spheres be 0, and no potential between them?

Thanks in advance.

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