[ QUOTE ]
If we are assuming he has TQxx with a flush draw, can we not remove those from the deck, while taking into account the odds of having the Qs?
[/ QUOTE ]Thanks, abscr, makes good sense to me.
Instead of<ul type="square"> $82*10/44+$41*3/44-$26*31/44 =
+$18.64+$2.80-$18.32 = +$3.12[/list]make it<ul type="square">$82*10/42+$41*3/42-$26*29/42 =
+$19.52+$2.93-$17.95 = +$4.50[/list]I should point our that there is some possibility of Villain having a pair of aces, and some other possibilities as well, that reduce this final number somewhat. Then again, we're not absolutely certain Villain has the Broadway, which increases this final number somewhat - although it surely looks like Villain has the Broadway - and it also surely looks like Villain doesn't have aces.
At any rate, the number is only a rough approximation to give us an idea if a call has positive e.v. (And indeed it does).
I thought if anyone challenged the math it might be on a different basis. But I like your improvement.
Thanks for the correction.
Buzz