DISCLAIMER
1. I am not a teacher.
2. I am an amateur mathematician at best. If I make any math
mistakes then I apologize beforehand and would appreciate them being
pointed out. I would rather be humbled than to continue to be wrong.
DTUW
Draw Till U Win is/was a jacks or better game. It's 6/5 double Bonus
(which means the straight pays only 4). Now that's a pretty crappy
payscale, maybe 92%. But, and that's a big but, any time you wind up
with a non-paying 4-card royal or non-paying 4-card straight flush,
open-ended or inside, you get to "draw until u win." If, after the
draw, you wind up with a hand like 5h-6h-7h-8h-3c you get to throw
away the 3 and draw one card at a time until you hit a pay. But if
your final hand was 5h-6h-7h-8h-9c you would not get to draw because
it is a paying hand. Likewise for 4-card royals. If your final hand
is Ac-Kc-Qc-Tc-7d you get to draw until you win, but if your final
hand is Ac-Kc-Qc-Tc-7c the hand is over.
But you can, and should, break a hand if it is on the initial deal.
If you are dealt 4d-5d-6d-7d-8c you wouldn't break this hand in
normal 6/5 DB but in DTUW you would be on a stone cold freeroll
because the worst hand you can come back with is a straight. There
are only 14 paycards in the remaining 47: 5 straight cards, 7 flush
cards, 2 straight flush cards. You should be getting an idea of how
valuable these draws are by now. In normal 6/5 DB the ER of the SF
draw would be about 3.3, so you wouldn't break the hand because the
straight pays 4. But in DTUW the ER is up around 11. In either game
the hand would return the same amount of bets: 5 straight cards
return 20 bets, 7 flush cards return 35 bets, 2 SF cards return 100
bets. The difference is in the cycle. In normal 6/5 DB there would
be 47 possible outcomes, in DTUW there are only 14 possible
outcomes. 155 bets divided by 47 gives an ER of about 3.3, 155 bets
divided by 14 gives an ER of 11.
So the effect of the DTUW feature is RF cards and SF cards gain huge
value and move way up in the strategy chart. RF 1's, RF 2's, RF 3's,
RF 4's, SF 2's, SF 3's, SF 4's all gain huge value.
If you are dealt As-Ks-Qs-Ts-7d at 6/5 DB the ER of the hand is: 1 RF
card returns 800 bets, 8 FL cards return 40 bets, 3 ST cards return
12 bets, 9HP cards return 9 bets which totals to 861 bets divided by
the cycle(47) for an ER of about 18.3. But in DTUW, since you get to
draw until you win, the cycle is only 21 (The total number of
paycards) 861 bets divided by 21 gives an ER of about 41. Are you
getting the picture?
But what if you were dealt As-Ks-Qs-Ts-7s? I substituted the 7s for
the 7d. In either game you are going to make the draw, but at 6/5 DB
that 7 would be a penalty. The ER would be slightly less because
there is one less flush for you to make. In DTUW the 7s helps you
tremendously because it shortens the cycle on the draw. Instead of
21 paycards there are now only 20. 856 bets divided by 20 gives an
ER of around 42.8, up from the 41 it would be if the 7 were offsuit.
More later....