Mitaines.soulver
November 17, 2012 11:01:12 AM
1
Variables:
2
players = 2
2
3
ranks = 13 - 4
9
4
suits = 4
4
5
deck = ranks × suits
36
6
flop = 4
4
7
talon = deck - flop
32
8
hand = 8
8
9
mitten = 2
2
10
glove = 3
3
11
sock = 4
4
12
universe = talon choose hand
10,518,300
13
Deals per game: talon / hand / players
2
14
Event Ratios:
15
10DRatio = 10D/socks
21.19071
16
mittenRatio = Mittens/socks
110.4
17
mittenJacksRatio = mittensJacks/socks
13.8
18
gloveRatio = gloves/socks
19.2
19
gloveJacksRatio = glovesJacks/socks
2.4
20
socks/socks
1
21
sockJacksRatio = socksJacks/socks
0.125
22
Scores:
23
10 of Diamonds: sockScore/10DRatio
24
24
Mittens: sockScore/mittenRatio
5
25
Mitten of Jacks: sockScore/mittenJacksRatio
36
26
Gloves: sockScore/gloveRatio
26
27
Glove of Jacks: sockScore/gloveJacksRatio
208
28
Socks: sockScore = 500
500
29
Sock of Jacks: sockScore/sockJacksRatio
4,000
30
31
Combinations per hand:
32
mittens = ((ranks -1) choose 1) × (suits choose mitten) × ((talon - suits) choose (hand - mitten)) / universe
1.72
33
mittensJacks = (1 choose 1) × (suits choose mitten) × ((talon - suits) choose (hand - mitten)) / universe
0.215
34
gloves = ((ranks -1) choose 1) × (suits choose glove) × ((talon - suits) choose (hand - glove)) / universe
0.299
35
glovesJacks = (1 choose 1) × (suits choose glove) × ((talon - suits) choose (hand - glove)) / universe
0.037
36
socks = ((ranks -1) choose 1) × (suits choose sock) × ((talon - suits) choose (hand - sock)) / universe
0.016
37
socksJacks = (1 choose 1) × (suits choose sock) × ((talon - suits) choose (hand - sock)) / universe
0.002
38
10D = .33
0.33
Standard Deviation:1,803,018.0948