OK, it’s dumb. Spending real money to “win” points redeemable for over-priced prizes. That being said, Frau and I compete. Loser buys lunch. And when the “kids”, some of whom are actually children, everyone can get a “prize”. Which makes Frau happier than the “kid”. And, since I want Frau happy, I burn a few brain cells to win points. Free lunch ain’t bad either as a motivator.

SO it’s five card draw poker with five wild cards.

Here’s the Paytable in “points”

Natural Royal 800
Five of Kind 500
Wild Royal 300
St Flush 150
Four of Kind 75
Full House 40
Flush 20
Straight 8
Trips spin a dumb wheel
Two pair 5
9’s or better 4

Spinner has values: 3 – 500 – 5 – 50 – 250 – 4 – 25 – 100 – 1000 – 10 – 5000 – 15

Today’s sample spinner results:

3 1
4 6
5 1
10 2
15 2
25 1
50 1
100 0
250 0
500 0
1000 0
5000 0

Hard to calculate the EV of the wheel but here’s a guess 157/14 = 11 points per spin

Need a poker probability table for 14 card suits a-2-…t-j-q-k-w

Need a strategy for the discard.

Have to beat Frau for the free lunch.

Help?

Argh!

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Note: One has to consider the first ten cards of a random deck of 56 cards.

56C10?

Anyone have fifty six fingers?

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13c1 13c1 13c1 13c1 13c1 13c1 13c1 13c1 13c1 13c1

13c1 ** 10

1 out of 56 = 0.0178571…

(56)**10 possible combinations to consider

56C10

Thinking about it. Five card poker with 4 wild cards and a draw. It’s only about the ten cards. There’s a decision. By enumeration.

56*55*54*53*52 == 51*50*49*48*47

56*55= 3 080
*54= 166 320
*53= 8 814 960
*52= 458 377 920
*51=
*50=
*49=
*48=
*47=

Clearly beyond enumeration. Outsource to India.

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