What happens to the neutral sphere when grounded?

[Jhouse1203]

Sphere A corries a net positive charge, and sphere B is nuetral. They are placed near each other on an insulated table. Sphere B is briefly touched with a wire that is grounded. What would happen to the neutral sphere?
I know it woul become a neg charged but i don't know what happens when its grounded...

 

[Meir Achuz]

I assume both spheres are conductors. Before grounding, sphere B is at a positive potential V_0 due to its proximity to the positive charge. When it is grounded, electrons flow onto the surface of B to reduce its potential to 0.