Infinite (dream world) Yes, because it's never ending. All the money in the world today, NO! So it doesn't really matter but;

Consider this, there are world records for winning and losing streaks recorded in the history of gambling. For example, games like craps, roulette, BJ, etc. Think about how many times the games have been played. "IF" one could figure out how many hands of BJ have been played vs. the longest losing steak recorded should reflect what the odds say should happen. 1,000 hands= (1) 10 hand losing streak, 1,000,000 hands= (1) 20 hand losing streak, etc. Not exact but you get the point. Sooner or later the streak will happen if you play enough and will eventually be more than all the money in the world (not infinite) and the world will go broke except for one person. Sooner or later gambling winning streaks and losing streak records will be broken once enough events have happened which is never ending. Though it will take many life times to see this.

Goodluck