There are actually 13 * 48 ways to make normal quads since the kicker can
be any of the 48 remaining cards.
I've never played this game, but I don't mind procrastinating for 5 minutes.
Off the top of my head. The number of quick quads is:
2: 4 * 6 (four ways to have trip 2's times six ways to have AA)
3: 4 * 16 (sixteen ways for A2)
4: 4 * (16 + 6) (sixteen ways for A3 and six ways for 22)
5: 4 * (16 + 16) (sixteen ways for 23 and sixteen ways for A4)
6: 4 * (16 + 16 + 6) (24, A5 and 33)
7: 4 * (16 + 16 + 16) (34, 25, A6)
8: 4 * (16 + 16 + 16 + 6) (35, 26, A7, 44)
9: 4 * (16 + 16 + 16 + 16) (45, 36, 27, A8)
10: 4 * (16 + 16 + 16 + 16 + 6) (46, 37, 28, A9, 55)
Sum them up you get:
4 * (6*5 + 16*20) = 1400 quick quad combos
This is in addition to the 13 * 48 = 624 standard quad combos
This would make quads on QQ machines roughly 3.25x more likely. Wizard of
odds quotes 2.7x so I probably messed up somewhere, though... 
Ed
ยทยทยท
On Thu, Feb 2, 2012 at 12:22 PM, <coachvee@aol.com> wrote:
**
Hi Gang:
A friend recently asked me an interesting question and I thought I'd put
it
out on these boards to see if the math experts out there could possibly
answer it for us.
We all know that there are 13 possible ways to be dealt a four-of-a-kind
in
a non-wild game such as JOB, BP or DDB etc.
But, this friend, Hedy and I have been dabbling lately in Quick Quads
(Harrah's AC has one 50-play and one 100-play machine at the 1-cent,
2-cent,
nickel and quarter levels). His question to me was: "How many ways are
there
to be dealt a four-of-a-kind in Quick Quads when playing a non-wild game?"
Good question, I said. I didn't have the answer, of course. Does anyone
out
there know?
Thanks for your help.
Regards,
CoachVee & Hedy
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