View Full Version : Runner Runner Royal - what are the odds?

Big Bend
10-18-2004, 12:50 PM
This was a fun hand for me to say the least...

Party Poker 5/10 Hold'em (6 max, 6 handed) converter (http://www.selachian.com/tools/bisonconverter/hhconverter.cgi)

Preflop: Hero is BB with A/images/graemlins/club.gif, K/images/graemlins/club.gif. UTG posts a blind of $5.
MP folds, CO calls, Button folds, SB completes, <font color="CC3333">Hero raises</font>, UTG (poster) calls, CO calls, SB calls.

Flop: (8 SB) 7/images/graemlins/heart.gif, 5/images/graemlins/heart.gif, Q/images/graemlins/club.gif <font color="blue">(4 players)</font>
<font color="CC3333">Hero bets</font>, UTG calls, CO folds, SB folds.

Turn: (5 BB) J/images/graemlins/club.gif <font color="blue">(2 players)</font>
<font color="CC3333">Hero bets</font>, UTG calls.

River: (7 BB) T/images/graemlins/club.gif <font color="blue">(2 players)</font>
<font color="CC3333">Hero bets</font>, <font color="CC3333">UTG raises</font>, <font color="CC3333">Hero 3-bets</font>, <font color="CC3333">UTG caps</font>, Hero calls.

Final Pot: 15 BB

I'm wondering tho what were the odds of me getting this royal? I think I've read that the odds of getting a royal with a 5 card deal are something like 650000:1, but what about in a 7 card game like holdem, especially having to hit runner runner.

10-18-2004, 01:40 PM
Well, on the flop u had 2 cards to come with 47 left in the deck. 2 in the deck will make the royal...So the prob of the runner runner is 1/C(47,2) = .000925, or odds of 1080:1...Boy u got lucky!


10-18-2004, 03:38 PM
(2/47) * (1/46) = .000929 or about .929 times in 1,000 or about 1075:1 'ish.

You play gooooood.

Of course, you did have 13 nut outs on the river.

10-18-2004, 07:39 PM
here's the other part of the question: what're the odds of ending up with a royal flush when you've got AKs in the blind if you stay in the hand the whole time. the answer is (C(47,2))/(C(50,5))= 1/1960