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Genie Rarity

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When a genie levels it is given a random amount of bonus points every 10 levels to be put in stats. These bonus points are called lucky points. The number of lucky points your genie gains every ten levels is given at the following rates:

Lucky Point Distribution
Lucky Points +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
Odds 24% 16% 15% 2% 1% 1% 1% 6% 15% 19%

As you can see it is not an even distribution so will likely be either high or low.

Genie Rarity[edit | edit source]

Obviously getting a 100/100 lucky point genie is super rare but how hard is it? How about getting just 99/100?

The answer to these questions can be calculated from the above distribution. For example, to get a 100/100 genie requires getting 10 lucky points (19% chance), 10 times in a row which is a chance of 1 in 16,310,377. The chance to get 99/100 comes from the 10 different ways of getting 10 lucky points 9 times and 9 lucky points once.

These calculations get more and more complex for more arbitrary lucky point combinations, like 57/70. Fortunately the following table takes care of all of that already.

Genie Rarity Index[edit | edit source]

The Genie Rarity Index (GRI) is a measure of how hard it is to make a genie with a specified number of lucky points or better. For example a GRI of 4.0 means that 1 in 4 genies at a given level will have that many lucky points or better. The worst genie with the minimum possible number of lucky points will have a GRI of 1 since 100% of genies will be able to meet or beat that genie. A very average genie would have a GRI of 2 with about 50% of possible genies coming out worse at that point and the other 50% coming out better. The best genies have large GRIs. A GRI of 1,000 means only 1 in 1,000 genies ever get that good (or better).

To use this table lookup the row corresponding to the lucky points on the left with the column corresponding to the genie level at the top.

For example, a genie with lucky points of 68 / 80 has a GRI of 217. Only 1 in 217 genies ever gets that good. You would need about 651 mirages to make that many genies which would cost around 6.5 million coins. Using the GRI like this is a great way to judge the worth of a genie.

Genie Rarity Index
Lucky Points Genie Level
10 20 30 40 50 60 70 80 90 100
1 1.00
2 1.32 1.00
3 1.67 1.06 1.00
4 2.22 1.16 1.01 1.00
5 2.33 1.30 1.04 1.00 1.00
6 2.38 1.41 1.09 1.01 1.00 1.00
7 2.44 1.48 1.15 1.03 1.00 1.00 1.00
8 2.50 1.51 1.19 1.05 1.01 1.00 1.00 1.00
9 2.94 1.54 1.22 1.08 1.02 1.00 1.00 1.00 1.00
10 5.26 1.62 1.24 1.10 1.03 1.01 1.00 1.00 1.00 1.00
11 1.92 1.27 1.12 1.04 1.01 1.00 1.00 1.00 1.00
12 2.75 1.35 1.13 1.06 1.02 1.00 1.00 1.00 1.00
13 3.92 1.53 1.16 1.07 1.02 1.01 1.00 1.00 1.00
14 5.25 1.81 1.22 1.08 1.03 1.01 1.00 1.00 1.00
15 5.60 2.16 1.32 1.10 1.04 1.01 1.00 1.00 1.00
16 5.86 2.42 1.45 1.14 1.05 1.02 1.01 1.00 1.00
17 6.24 2.60 1.58 1.19 1.06 1.02 1.01 1.00 1.00
18 7.23 2.72 1.69 1.26 1.09 1.03 1.01 1.00 1.00
19 10.74 2.91 1.77 1.33 1.12 1.04 1.01 1.01 1.00
20 27.70 3.39 1.86 1.38 1.16 1.06 1.02 1.01 1.00
21 4.51 1.99 1.43 1.19 1.08 1.03 1.01 1.00
22 6.83 2.26 1.49 1.23 1.10 1.04 1.01 1.00
23 10.03 2.72 1.59 1.26 1.12 1.05 1.02 1.01
24 12.84 3.37 1.74 1.30 1.14 1.06 1.02 1.01
25 13.93 4.09 1.96 1.37 1.16 1.07 1.03 1.01
26 15.14 4.66 2.23 1.46 1.20 1.09 1.04 1.02
27 17.50 5.08 2.50 1.58 1.24 1.11 1.05 1.02
28 23.57 5.54 2.73 1.72 1.30 1.13 1.06 1.02
29 43.28 6.38 2.93 1.85 1.37 1.16 1.07 1.03
30 145.79 8.14 3.19 1.97 1.44 1.20 1.08 1.04
31 11.76 3.61 2.09 1.52 1.24 1.11 1.05
32 18.25 4.33 2.25 1.59 1.28 1.13 1.06
33 26.26 5.46 2.49 1.67 1.33 1.16 1.07
34 32.37 6.93 2.84 1.77 1.38 1.19 1.09
35 36.10 8.44 3.31 1.92 1.43 1.22 1.10
36 41.73 9.70 3.85 2.11 1.50 1.25 1.12
37 53.54 10.86 4.37 2.35 1.60 1.29 1.14
38 83.76 12.49 4.86 2.60 1.71 1.34 1.17
39 184.55 15.49 5.38 2.85 1.84 1.40 1.20
40 767.34 21.35 6.11 3.10 1.98 1.47 1.23
41 32.43 7.28 3.38 2.12 1.55 1.27
42 50.16 9.14 3.77 2.27 1.64 1.32
43 69.54 11.85 4.33 2.45 1.72 1.37
44 84.39 15.16 5.11 2.68 1.82 1.43
45 98.37 18.46 6.09 2.98 1.94 1.48
46 122.88 21.50 7.18 3.36 2.08 1.55
47 176.14 25.00 8.27 3.81 2.26 1.63
48 316.53 30.51 9.38 4.29 2.48 1.72
49 816.31 40.49 10.75 4.79 2.72 1.84
50 4,039 59.17 12.75 5.33 2.97 1.97
51 92.11 15.88 5.99 3.24 2.11
52 139.23 20.63 6.91 3.54 2.26
53 186.89 27.13 8.19 3.91 2.43
54 228.83 34.70 9.90 4.40 2.61
55 282.56 42.35 11.98 5.02 2.84
56 384.30 50.44 14.26 5.79 3.12
57 614.03 61.35 16.65 6.66 3.46
58 1,251 79.33 19.38 7.61 3.86
59 3,705 111.60 23.02 8.64 4.31
60 21,256 169.72 28.45 9.85 4.79
61 265.03 36.72 11.41 5.32
62 388.92 48.76 13.57 5.95
63 513.54 64.46 16.51 6.74
64 647.16 82.32 20.30 7.76
65 853.51 101.46 24.81 9.04
66 1,266 124.59 29.82 10.59
67 2,243 158.84 35.44 12.36
68 5,126 216.65 42.42 14.33
69 17,142 319.14 52.20 16.58
70 111,873 496.46 66.83 19.37
71 766.79 88.62 23.08
72 1,097 119.16 28.16
73 1,452 157.66 34.94
74 1,909 201.79 43.51
75 2,699 253.12 53.63
76 4,361 322.05 65.22
77 8,505 430.01 79.11
78 21,573 614.30 97.49
79 80,484 935.69 123.98
80 588,805 1,467 163.41
81 2,228 220.82
82 3,143 298.81
83 4,235 395.59
84 5,859 510.40
85 8,893 655.67
86 15,593 866.15
87 33,272 1,207
88 92,825 1,791
89 382,341 2,788
90 3,098,972 4,363
91 6,521
92 9,188
93 12,761
94 18,663
95 30,372
96 57,573
97 133,571
98 406,745
99 1,833,711
100 16,310,377