Straight flushes come up on average once in 3217 hold'em hands. I played 70,000 hands on zynga (where you nearly always see the river) and had one royal flush, but other people had two or more in less than 60,000 hands. With Hold'em, you can expect to have a royal flush once in every 30,940 times a game goes all the way to the river. In hold'em, you obviously have a total of 7 cards to make a hand from, so royals are a lot easier (relatively) to get. I got 649,740 to 1.Those odds apply to getting a royal flush if you were dealt 5 random cards.
I was curious and looked up the odds and its was ridiculous how small the chances were. Spenda’s 5 Biggest Leaks of a Losing NL Player – Leak 1.Beating 6 Max No Limit Holdem by Sauce123.
Strategy (Part 1): The Study of Tactics in Poker
