Probability to make boat/quads from flopped set?

[AA suited]

flopped a set

6:1 to make boat/quad on turn (7 outs)
4:1 to make boat/quad on river (10 outs)

if i went all in on flop, what are the odds to make a boat/quad by showdown?

[mannika]

=1-(prob of not making boat/quads)

= 1-(40/47)(36/46)

= 33.4%

[pzhon]

[ QUOTE ]
flopped a set

6:1 to make boat/quad on turn (7 outs)
4:1 to make boat/quad on river (10 outs)

if i went all in on flop, what are the odds to make a boat/quad by showdown?

[/ QUOTE ]
If you have no information about what anyone else has, you will fill up 7/47 + (40/47)(10/46) = 33.4%.

If you know your opponent has a flush, you will fill up 7/45 + (6/45)(9/44)+(32/45)(10/44) = 341/990 = 34.4%. The middle term comes from when the turn would pair your opponent, giving you only 9 outs on the river. It is slightly more likely that you fill up if you know your opponent is not blocking the board from pairing.

http://twodimes.net/h/?z=988421
Board: 9/images/graemlins/heart.gif 7/images/graemlins/heart.gif 4/images/graemlins/heart.gif
cards win %win lose %lose tie %tie EV
A/images/graemlins/heart.gif 2/images/graemlins/heart.gif 649 65.56 341 34.44 0 0.00 0.656
7/images/graemlins/spade.gif 7/images/graemlins/diamond.gif 341 34.44 649 65.56 0 0.00 0.344

If you know your opponent has a straight or a baby flush, you get the same probability to fill up, but you also have outs to tie.

[AA suited]

33% = 3:1?

[olavfo]

[ QUOTE ]
33% = 3:1?

[/ QUOTE ]
33% = 2:1

You make it 1 out of 3 times and fail 2 out of 3 times. The odds are therefore 2:1 against.

olavfo

[mw999]

New to board. I have seen various percentages above 33%. Ccould this be due to runner runner? My math shows that runner runner is 6.5%.
2nd question. what are the odds and percentage of the board paring at each stage? thoughts please. MW

[pzhon]

[ QUOTE ]
I have seen various percentages above 33%. Ccould this be due to runner runner?

[/ QUOTE ]
Do you mean something like a flop of AKQ, turn 6, river 6? That is included in the calculations. It is why people say that you have 7 outs to fill up on the turn, and if you miss, you have 10 outs to fill up on the river.

[mw999]

I understand. two different internet sites have it listed as 37%. I will stick to the 33%. Thanks for info. MW