Comment by kqr

Poker has much, much higher variance than dice though (or weighted coins, which is what you're actually modeling). It takes hundreds of thousands of hands to establish a statistically significant win rate.

At a common online pace of 1.5 hands per minute (live games are much slower) that's over a thousand hours of playing. I.e. even if playing for one hour every day, it takes years before a player knows whether they're profitable or not.

Seems disingenious to compare to dice when you presumably know poker belongs to that class of distributions to which the central limit theorem applies very slowly.