Last week straght flush

[LordCyfer]

What is the probability to get a royal flush at the turn in HL with a JQ suited in the pocket.

[oddsock]

If there is not at least two of AKT of the same suit as your pocket then 0%.

Assuming you have two of those cards then it's 1/47- a little over 2%,

[LordCyfer]

In my hand i have JQ
on the flop :
ATx
river :
K
turn :
X

[Copernicus]

You need 3 out of 4 cards to be your SF cards, order doesnt matter.

C(3,3)*C(47,1)/C(50,4)=.000204....a little over 2 out of 10,000.

[filsteal]

[ QUOTE ]
You need 3 out of 4 cards to be your SF cards, order doesnt matter.

C(3,3)*C(47,1)/C(50,4)=.000204....a little over 2 out of 10,000.

[/ QUOTE ]

Just to be clear, this is the probability of making a royal flush by the turn with QJs.

Approximately triple this if you're interested in a SF in general, which would include KT9 and T98. (We're double-counting things like AKT9, but whatever.)

For a royal flush by the river, it's

C(3,3)*C(47,2)/C(50,5) = 1/1960.

[Copernicus]

[ QUOTE ]
Just to be clear, this is the probability of making a royal flush by the turn with QJs.

[/ QUOTE ]

LOL, that WAS the question after all.