[ QUOTE ]
this situation came up durring a nl27 game, but the question is still useful for triple draw. it was allin before the draw. 1st player takes 3. and now i need to decide. draw 1 to an 8 or stay with an A. i decided to stay.
i know that a J is a favorite to a 1 card draw. but the question is what is the worst hand u can have that is a favorite to a 2 card draw? 3 cards draw?
[/ QUOTE ]
Here's what my tool says about drawing 3 to 72AAA:
<font class="small">Code:</font><hr /><pre>
7 5 4 3 2 0.00394696 0.00394696
7 6 4 3 2 0.00394696 0.00789393
7 6 5 3 2 0.00394696 0.0118409
7 6 5 4 2 0.00394696 0.0157879
8 7 4 3 2 0.00394696 0.0197348
8 7 5 3 2 0.00394696 0.0236818
8 7 5 4 2 0.00394696 0.0276287
8 7 6 3 2 0.00394696 0.0315757
8 7 6 4 2 0.00394696 0.0355227
8 7 6 5 2 0.00394696 0.0394696
9 7 4 3 2 0.00394696 0.0434166
9 7 5 3 2 0.00394696 0.0473636
9 7 5 4 2 0.00394696 0.0513105
976xx 0.0118409 0.0631514
98xxx 0.0157879 0.0789393
T-high 0.0592044 0.138144
J-high 0.0828862 0.22103
Q-high 0.110515 0.331545
K-high 0.142091 0.473636
A-high 0.0444033 0.518039
pair of deuces 0.140611 0.658649
...
</pre><hr />
So, a rough A is probably a slight dog, but K-high is a 53% favorite. (Actually, in this case if you have an A your opponent cannot possibly get an A--- removing the fourth A puts him at a K or better 50.5% of the time.)
Drawing two to 723AA:
<font class="small">Code:</font><hr /><pre>
7 5 4 3 2 0.0148011 0.0148011
7 6 4 3 2 0.0148011 0.0296022
7 6 5 3 2 0.0148011 0.0444033
8 7 4 3 2 0.0148011 0.0592044
8 7 5 3 2 0.0148011 0.0740056
8 7 6 3 2 0.0148011 0.0888067
9 7 4 3 2 0.0148011 0.103608
9 7 5 3 2 0.0148011 0.118409
976xx 0.0148011 0.13321
98xxx 0.0148011 0.148011
T-high 0.0740056 0.222017
J-high 0.0888067 0.310823
Q-high 0.103608 0.414431
K-high 0.118409 0.53284
A-high 0.066605 0.599445
pair of deuces 0.105458 0.704903
...
</pre><hr />
Here you need Q-high. Similar results for drawing to 234AA.
However, just because standing pat makes you a favorite does not mean it's the most +EV choice...