QUASARS

Crossover rarities

The far end of the distribution, where one deal in thousands or millions lives.

Board and table rarities. The last two rows are simulations of 300,000 deals.

Event	Chance	Plain English
The five board cards include four of a kind	0.024%	about 1 in 4,165
The board is a full house	0.144%	about 1 in 694
The board is a straight flush (royal included)	0.0015%	about 1 in 64,974
The board is a royal flush	0.00015%	about 1 in 649,740
The flop is three suited cards in a row	0.217%	about 1 in 460
A royal flush for any player at 9-max, all to the river	0.028%	about 1 in 3,590
A royal flush for one specific player	0.0032%	about 1 in 30,940
Two players dealt pocket aces in the same 9-max hand	0.0133%	about 1 in 7,520
Your exact two cards again next hand	0.075%	about 1 in 1,326
Anyone at 9-max makes four of a kind (all see the river)	1.33%	about 1 in 75
Anyone at 9-max makes a straight flush or royal	0.25%	about 1 in 393

Two royals in one hand: never.

Each royal needs at least three of its five cards on the board. Two royals in different suits would need six board cards, and there are only five. The count is zero.

A royal flush for any of nine players by the river is about 1 in 3,590; two royals in one hand cannot happen. — Exact counts from the 52-card deck. Two royals in one hand would need six board cards. Open full-size chart ↗

These counts are for study and post-session review. Where a row comes from a simulation, the caption names how many deals were run. Where a stack or a pot is made up, the caption says so. None of these figures is an instruction for a live pot.

The far edge of the deck