| A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | |
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1 | Using roll probability data from: | |||||||||||||||||||||||||
2 | https://www.reddit.com/r/BluePrince/comments/1kvhiw8/thorough_analysis_of_slot_machine_payout/ | |||||||||||||||||||||||||
3 | https://docs.google.com/spreadsheets/d/1rnJvIk5xMCqygkRnsrobAXyvNinZaexOcspy_i519w0 | |||||||||||||||||||||||||
4 | ||||||||||||||||||||||||||
5 | I calculated the optimal strategy and expected values by writing a Haskell program. | |||||||||||||||||||||||||
6 | I couldn't be bothered to upload the code to GitHub, so I put the source code in the last two sheets. | |||||||||||||||||||||||||
7 | ||||||||||||||||||||||||||
8 | 3-reroll EV: | 1.102997705 | ||||||||||||||||||||||||
9 | 5-reroll EV: | 1.342693379 | ||||||||||||||||||||||||
10 | ||||||||||||||||||||||||||
11 | ||||||||||||||||||||||||||
12 | Pull | Rerolls | Action | Approximate EV | Exact EV | |||||||||||||||||||||
13 | Blanks: 1, Coins: 1, Stacks: 1, Snakes: 1 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
14 | Blanks: 1, Coins: 1, Stacks: 1, Snakes: 1 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
15 | Blanks: 1, Coins: 1, Stacks: 1, Snakes: 1 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
16 | Blanks: 1, Coins: 1, Stacks: 1, Snakes: 1 | 3 | Keep | 0 | 0 | |||||||||||||||||||||
17 | Blanks: 1, Coins: 1, Stacks: 1, Snakes: 1 | 4 | Keep | 0 | 0 | |||||||||||||||||||||
18 | Blanks: 1, Coins: 1, Stacks: 1, Snakes: 1 | 5 | Keep | 0 | 0 | |||||||||||||||||||||
19 | Blanks: 1, Coins: 1, Stacks: 1, Nets: 1 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
20 | Blanks: 1, Coins: 1, Stacks: 1, Nets: 1 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
21 | Blanks: 1, Coins: 1, Stacks: 1, Nets: 1 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
22 | Blanks: 1, Coins: 1, Stacks: 1, Nets: 1 | 3 | Keep | 0 | 0 | |||||||||||||||||||||
23 | Blanks: 1, Coins: 1, Stacks: 1, Nets: 1 | 4 | Keep | 0 | 0 | |||||||||||||||||||||
24 | Blanks: 1, Coins: 1, Stacks: 1, Nets: 1 | 5 | Keep | 0 | 0 | |||||||||||||||||||||
25 | Blanks: 1, Coins: 1, Stacks: 1, Doubles: 1 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
26 | Blanks: 1, Coins: 1, Stacks: 1, Doubles: 1 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
27 | Blanks: 1, Coins: 1, Stacks: 1, Doubles: 1 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
28 | Blanks: 1, Coins: 1, Stacks: 1, Doubles: 1 | 3 | Keep | 0 | 0 | |||||||||||||||||||||
29 | Blanks: 1, Coins: 1, Stacks: 1, Doubles: 1 | 4 | Keep | 0 | 0 | |||||||||||||||||||||
30 | Blanks: 1, Coins: 1, Stacks: 1, Doubles: 1 | 5 | Reroll Blank | 0.1494473427 | 2988946853/20000000000 | |||||||||||||||||||||
31 | Blanks: 1, Coins: 1, Stacks: 1, Clovers: 1 | 0 | Keep | 10 | 10 | |||||||||||||||||||||
32 | Blanks: 1, Coins: 1, Stacks: 1, Clovers: 1 | 1 | Keep | 10 | 10 | |||||||||||||||||||||
33 | Blanks: 1, Coins: 1, Stacks: 1, Clovers: 1 | 2 | Keep | 10 | 10 | |||||||||||||||||||||
34 | Blanks: 1, Coins: 1, Stacks: 1, Clovers: 1 | 3 | Reroll Blank | 10.3541325 | 4141653/400000 | |||||||||||||||||||||
35 | Blanks: 1, Coins: 1, Stacks: 1, Clovers: 1 | 4 | Reroll Blank | 10.90325005 | 218065001/20000000 | |||||||||||||||||||||
36 | Blanks: 1, Coins: 1, Stacks: 1, Clovers: 1 | 5 | Reroll Blank | 11.49890857 | 91991268571/8000000000 | |||||||||||||||||||||
37 | Blanks: 1, Coins: 1, Stacks: 1, Crowns: 1 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
38 | Blanks: 1, Coins: 1, Stacks: 1, Crowns: 1 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
39 | Blanks: 1, Coins: 1, Stacks: 1, Crowns: 1 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
40 | Blanks: 1, Coins: 1, Stacks: 1, Crowns: 1 | 3 | Keep | 0 | 0 | |||||||||||||||||||||
41 | Blanks: 1, Coins: 1, Stacks: 1, Crowns: 1 | 4 | Keep | 0 | 0 | |||||||||||||||||||||
42 | Blanks: 1, Coins: 1, Stacks: 1, Crowns: 1 | 5 | Keep | 0 | 0 | |||||||||||||||||||||
43 | Blanks: 1, Coins: 1, Stacks: 2 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
44 | Blanks: 1, Coins: 1, Stacks: 2 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
45 | Blanks: 1, Coins: 1, Stacks: 2 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
46 | Blanks: 1, Coins: 1, Stacks: 2 | 3 | Reroll Blank | 6.24E-02 | 124801/2000000 | |||||||||||||||||||||
47 | Blanks: 1, Coins: 1, Stacks: 2 | 4 | Reroll Blank | 0.2347360275 | 93894411/400000000 | |||||||||||||||||||||
48 | Blanks: 1, Coins: 1, Stacks: 2 | 5 | Reroll Blank | 0.4434405645 | 886881129/2000000000 | |||||||||||||||||||||
49 | Blanks: 1, Coins: 1, Snakes: 1, Nets: 1 | 0 | Keep | 3 | 3 | |||||||||||||||||||||
50 | Blanks: 1, Coins: 1, Snakes: 1, Nets: 1 | 1 | Keep | 3 | 3 | |||||||||||||||||||||
51 | Blanks: 1, Coins: 1, Snakes: 1, Nets: 1 | 2 | Keep | 3 | 3 | |||||||||||||||||||||
52 | Blanks: 1, Coins: 1, Snakes: 1, Nets: 1 | 3 | Keep | 3 | 3 | |||||||||||||||||||||
53 | Blanks: 1, Coins: 1, Snakes: 1, Nets: 1 | 4 | Keep | 3 | 3 | |||||||||||||||||||||
54 | Blanks: 1, Coins: 1, Snakes: 1, Nets: 1 | 5 | Keep | 3 | 3 | |||||||||||||||||||||
55 | Blanks: 1, Coins: 1, Snakes: 1, Doubles: 1 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
56 | Blanks: 1, Coins: 1, Snakes: 1, Doubles: 1 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
57 | Blanks: 1, Coins: 1, Snakes: 1, Doubles: 1 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
58 | Blanks: 1, Coins: 1, Snakes: 1, Doubles: 1 | 3 | Keep | 0 | 0 | |||||||||||||||||||||
59 | Blanks: 1, Coins: 1, Snakes: 1, Doubles: 1 | 4 | Reroll Blank | 5.95E-02 | 5946761/100000000 | |||||||||||||||||||||
60 | Blanks: 1, Coins: 1, Snakes: 1, Doubles: 1 | 5 | Reroll Blank | 0.2130366497 | 4260732993/20000000000 | |||||||||||||||||||||
61 | Blanks: 1, Coins: 1, Snakes: 1, Clovers: 1 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
62 | Blanks: 1, Coins: 1, Snakes: 1, Clovers: 1 | 1 | Reroll Snake | 8.95 | 179/20 | |||||||||||||||||||||
63 | Blanks: 1, Coins: 1, Snakes: 1, Clovers: 1 | 2 | Reroll Snake | 9.845 | 1969/200 | |||||||||||||||||||||
64 | Blanks: 1, Coins: 1, Snakes: 1, Clovers: 1 | 3 | Reroll Snake | 10.2878925 | 4115157/400000 | |||||||||||||||||||||
65 | Blanks: 1, Coins: 1, Snakes: 1, Clovers: 1 | 4 | Reroll Snake | 10.77322863 | 86185829/8000000 | |||||||||||||||||||||
66 | Blanks: 1, Coins: 1, Snakes: 1, Clovers: 1 | 5 | Reroll Snake | 11.32597149 | 90607771881/8000000000 | |||||||||||||||||||||
67 | Blanks: 1, Coins: 1, Snakes: 1, Crowns: 1 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
68 | Blanks: 1, Coins: 1, Snakes: 1, Crowns: 1 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
69 | Blanks: 1, Coins: 1, Snakes: 1, Crowns: 1 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
70 | Blanks: 1, Coins: 1, Snakes: 1, Crowns: 1 | 3 | Keep | 0 | 0 | |||||||||||||||||||||
71 | Blanks: 1, Coins: 1, Snakes: 1, Crowns: 1 | 4 | Keep | 0 | 0 | |||||||||||||||||||||
72 | Blanks: 1, Coins: 1, Snakes: 1, Crowns: 1 | 5 | Keep | 0 | 0 | |||||||||||||||||||||
73 | Blanks: 1, Coins: 1, Snakes: 2 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
74 | Blanks: 1, Coins: 1, Snakes: 2 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
75 | Blanks: 1, Coins: 1, Snakes: 2 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
76 | Blanks: 1, Coins: 1, Snakes: 2 | 3 | Keep | 0 | 0 | |||||||||||||||||||||
77 | Blanks: 1, Coins: 1, Snakes: 2 | 4 | Keep | 0 | 0 | |||||||||||||||||||||
78 | Blanks: 1, Coins: 1, Snakes: 2 | 5 | Keep | 0 | 0 | |||||||||||||||||||||
79 | Blanks: 1, Coins: 1, Nets: 1, Doubles: 1 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
80 | Blanks: 1, Coins: 1, Nets: 1, Doubles: 1 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
81 | Blanks: 1, Coins: 1, Nets: 1, Doubles: 1 | 2 | Reroll Blank | 9.79E-02 | 1957/20000 | |||||||||||||||||||||
82 | Blanks: 1, Coins: 1, Nets: 1, Doubles: 1 | 3 | Reroll Blank | 0.4373305 | 874661/2000000 | |||||||||||||||||||||
83 | Blanks: 1, Coins: 1, Nets: 1, Doubles: 1 | 4 | Reroll Blank | 0.809421415 | 161884283/200000000 | |||||||||||||||||||||
84 | Blanks: 1, Coins: 1, Nets: 1, Doubles: 1 | 5 | Reroll Blank | 1.143364147 | 22331331/19531250 | |||||||||||||||||||||
85 | Blanks: 1, Coins: 1, Nets: 1, Clovers: 1 | 0 | Keep | 10 | 10 | |||||||||||||||||||||
86 | Blanks: 1, Coins: 1, Nets: 1, Clovers: 1 | 1 | Keep | 10 | 10 | |||||||||||||||||||||
87 | Blanks: 1, Coins: 1, Nets: 1, Clovers: 1 | 2 | Keep | 10 | 10 | |||||||||||||||||||||
88 | Blanks: 1, Coins: 1, Nets: 1, Clovers: 1 | 3 | Reroll Blank | 10.2964425 | 4118577/400000 | |||||||||||||||||||||
89 | Blanks: 1, Coins: 1, Nets: 1, Clovers: 1 | 4 | Reroll Blank | 10.78196238 | 86255699/8000000 | |||||||||||||||||||||
90 | Blanks: 1, Coins: 1, Nets: 1, Clovers: 1 | 5 | Reroll Blank | 11.33413243 | 18134611883/1600000000 | |||||||||||||||||||||
91 | Blanks: 1, Coins: 1, Nets: 1, Crowns: 1 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
92 | Blanks: 1, Coins: 1, Nets: 1, Crowns: 1 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
93 | Blanks: 1, Coins: 1, Nets: 1, Crowns: 1 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
94 | Blanks: 1, Coins: 1, Nets: 1, Crowns: 1 | 3 | Keep | 0 | 0 | |||||||||||||||||||||
95 | Blanks: 1, Coins: 1, Nets: 1, Crowns: 1 | 4 | Keep | 0 | 0 | |||||||||||||||||||||
96 | Blanks: 1, Coins: 1, Nets: 1, Crowns: 1 | 5 | Keep | 0 | 0 | |||||||||||||||||||||
97 | Blanks: 1, Coins: 1, Nets: 2 | 0 | Keep | 0 | 0 | |||||||||||||||||||||
98 | Blanks: 1, Coins: 1, Nets: 2 | 1 | Keep | 0 | 0 | |||||||||||||||||||||
99 | Blanks: 1, Coins: 1, Nets: 2 | 2 | Keep | 0 | 0 | |||||||||||||||||||||
100 | Blanks: 1, Coins: 1, Nets: 2 | 3 | Keep | 0 | 0 |