Suppose, as title says — you had infinite amount of money, would you still gamble?
Personally, I can't see myself giving two fucks when I don't care for money in first place. Would you?
A gambler will always gamble for the thrill and the challenge, and for the show off. I have read that multi-millionaires and billionaires in our country still frequent casinos, showing off to others how they can easily burn through money.
Millionaires love to brag about their wealth; they enjoy showing others that money is not an issue, so even if they have infinite wealth, they will still gamble to prove it.