system
Given the following post, respond as if you're commenting on Reddit:
human
[Hulk & The Mask] What would happen if Bruce Banner/The Hulk accidentally put the mask on and became Big Head?

I say accidentally because I'm not looking for answers like, "Bruce Banner is too smart to put it on". I have a few sub-questions too. 

If Bruce Banner put the mask on, would he be able to transform into the hulk at will?

Would the mask help him to keep (at least a small bit) of his intelligence whilst he's in his Hulk form?

Which is more powerful in terms of "overriding" the other?
gpt
Red Hulk was able to wear the Venom Symbiote and the Spirit of Vengeance at the same time. He did this with permission from both of the symbiotes' owners. They parted ways willingly once their joint mission was over.

Green Hulk is naturally resistant to mind control. He gains more resistance as he gets angrier. 

The Mask wouldn't be able to control Hulk. Hulk would just rip the mask off his face if he didn't want it. Hulk likely could use the Mask's powers, but only if he were perfectly willing to.