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PokemonGo DistributionMath .pdf



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Odds of "Catching Em All" with Staggered
Release vs. Full G1 + G2 Release
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41

Starting with:
154 available*
100.00%
99.35%
98.70%
98.05%
97.40%
96.75%
96.10%
95.45%
94.81%
94.16%
93.51%
92.86%
92.21%
91.56%
90.91%
90.26%
89.61%
88.96%
88.31%
87.66%
87.01%
86.36%
85.71%
85.06%
84.42%
83.77%
83.12%
82.47%
81.82%
81.17%
80.52%
79.87%
79.22%
78.57%
77.92%
77.27%
76.62%
75.97%
75.32%
74.68%
74.03%

"Tries"
1.00
1.01
1.01
1.02
1.03
1.03
1.04
1.05
1.05
1.06
1.07
1.08
1.08
1.09
1.10
1.11
1.12
1.12
1.13
1.14
1.15
1.16
1.17
1.18
1.18
1.19
1.20
1.21
1.22
1.23
1.24
1.25
1.26
1.27
1.28
1.29
1.31
1.32
1.33
1.34
1.35

Starting with:
240 available*
100.00%
99.58%
99.17%
98.75%
98.33%
97.92%
97.50%
97.08%
96.67%
96.25%
95.83%
95.42%
95.00%
94.58%
94.17%
93.75%
93.33%
92.92%
92.50%
92.08%
91.67%
91.25%
90.83%
90.42%
90.00%
89.58%
89.17%
88.75%
88.33%
87.92%
87.50%
87.08%
86.67%
86.25%
85.83%
85.42%
85.00%
84.58%
84.17%
83.75%
83.33%

"Tries"
1.00
1.00
1.01
1.01
1.02
1.02
1.03
1.03
1.03
1.04
1.04
1.05
1.05
1.06
1.06
1.07
1.07
1.08
1.08
1.09
1.09
1.10
1.10
1.11
1.11
1.12
1.12
1.13
1.13
1.14
1.14
1.15
1.15
1.16
1.17
1.17
1.18
1.18
1.19
1.19
1.20

42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88

73.38%
72.73%
72.08%
71.43%
70.78%
70.13%
69.48%
68.83%
68.18%
67.53%
66.88%
66.23%
65.58%
64.94%
64.29%
63.64%
62.99%
62.34%
61.69%
61.04%
60.39%
59.74%
59.09%
58.44%
57.79%
57.14%
56.49%
55.84%
55.19%
54.55%
53.90%
53.25%
52.60%
51.95%
51.30%
50.65%
50.00%
49.35%
48.70%
48.05%
47.40%
46.75%
46.10%
45.45%
44.81%
44.16%
43.51%

1.36
1.38
1.39
1.40
1.41
1.43
1.44
1.45
1.47
1.48
1.50
1.51
1.52
1.54
1.56
1.57
1.59
1.60
1.62
1.64
1.66
1.67
1.69
1.71
1.73
1.75
1.77
1.79
1.81
1.83
1.86
1.88
1.90
1.93
1.95
1.97
2.00
2.03
2.05
2.08
2.11
2.14
2.17
2.20
2.23
2.26
2.30

82.92%
82.50%
82.08%
81.67%
81.25%
80.83%
80.42%
80.00%
79.58%
79.17%
78.75%
78.33%
77.92%
77.50%
77.08%
76.67%
76.25%
75.83%
75.42%
75.00%
74.58%
74.17%
73.75%
73.33%
72.92%
72.50%
72.08%
71.67%
71.25%
70.83%
70.42%
70.00%
69.58%
69.17%
68.75%
68.33%
67.92%
67.50%
67.08%
66.67%
66.25%
65.83%
65.42%
65.00%
64.58%
64.17%
63.75%

1.21
1.21
1.22
1.22
1.23
1.24
1.24
1.25
1.26
1.26
1.27
1.28
1.28
1.29
1.30
1.30
1.31
1.32
1.33
1.33
1.34
1.35
1.36
1.36
1.37
1.38
1.39
1.40
1.40
1.41
1.42
1.43
1.44
1.45
1.45
1.46
1.47
1.48
1.49
1.50
1.51
1.52
1.53
1.54
1.55
1.56
1.57

89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135

42.86%
42.21%
41.56%
40.91%
40.26%
39.61%
38.96%
38.31%
37.66%
37.01%
36.36%
35.71%
35.06%
34.42%
33.77%
33.12%
32.47%
31.82%
31.17%
30.52%
29.87%
29.22%
28.57%
27.92%
27.27%
26.62%
25.97%
25.32%
24.68%
24.03%
23.38%
22.73%
22.08%
21.43%
20.78%
20.13%
19.48%
18.83%
18.18%
17.53%
16.88%
16.23%
15.58%
14.94%
14.29%
13.64%
12.99%

2.33
2.37
2.41
2.44
2.48
2.52
2.57
2.61
2.66
2.70
2.75
2.80
2.85
2.91
2.96
3.02
3.08
3.14
3.21
3.28
3.35
3.42
3.50
3.58
3.67
3.76
3.85
3.95
4.05
4.16
4.28
4.40
4.53
4.67
4.81
4.97
5.13
5.31
5.50
5.70
5.92
6.16
6.42
6.70
7.00
7.33
7.70

63.33%
62.92%
62.50%
62.08%
61.67%
61.25%
60.83%
60.42%
60.00%
59.58%
59.17%
58.75%
58.33%
57.92%
57.50%
57.08%
56.67%
56.25%
55.83%
55.42%
55.00%
54.58%
54.17%
53.75%
53.33%
52.92%
52.50%
52.08%
51.67%
51.25%
50.83%
50.42%
50.00%
49.58%
49.17%
48.75%
48.33%
47.92%
47.50%
47.08%
46.67%
46.25%
45.83%
45.42%
45.00%
44.58%
44.17%

1.58
1.59
1.60
1.61
1.62
1.63
1.64
1.66
1.67
1.68
1.69
1.70
1.71
1.73
1.74
1.75
1.76
1.78
1.79
1.80
1.82
1.83
1.85
1.86
1.88
1.89
1.90
1.92
1.94
1.95
1.97
1.98
2.00
2.02
2.03
2.05
2.07
2.09
2.11
2.12
2.14
2.16
2.18
2.20
2.22
2.24
2.26

136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182

12.34%
11.69%
11.04%
10.39%
9.74%
9.09%
8.44%
7.79%
7.14%
6.49%
5.84%
5.19%
4.55%
3.90%
3.25%
2.60%
1.95%
1.30%
36.25%
35.83%
35.42%
35.00%
34.58%
34.17%
33.75%
33.33%
32.92%
32.50%
32.08%
31.67%
31.25%
30.83%
30.42%
30.00%
29.58%
29.17%
28.75%
28.33%
27.92%
27.50%
27.08%
26.67%
26.25%
25.83%
25.42%
25.00%
24.58%

8.11
8.56
9.06
9.63
10.27
11.00
11.85
12.83
14.00
15.40
17.11
19.25
22.00
25.67
30.80
38.50
51.33
77.00
2.76
2.79
2.82
2.86
2.89
2.93
2.96
3.00
3.04
3.08
3.12
3.16
3.20
3.24
3.29
3.33
3.38
3.43
3.48
3.53
3.58
3.64
3.69
3.75
3.81
3.87
3.93
4.00
4.07

43.75%
43.33%
42.92%
42.50%
42.08%
41.67%
41.25%
40.83%
40.42%
40.00%
39.58%
39.17%
38.75%
38.33%
37.92%
37.50%
37.08%
36.67%
36.25%
35.83%
35.42%
35.00%
34.58%
34.17%
33.75%
33.33%
32.92%
32.50%
32.08%
31.67%
31.25%
30.83%
30.42%
30.00%
29.58%
29.17%
28.75%
28.33%
27.92%
27.50%
27.08%
26.67%
26.25%
25.83%
25.42%
25.00%
24.58%

2.29
2.31
2.33
2.35
2.38
2.40
2.42
2.45
2.47
2.50
2.53
2.55
2.58
2.61
2.64
2.67
2.70
2.73
2.76
2.79
2.82
2.86
2.89
2.93
2.96
3.00
3.04
3.08
3.12
3.16
3.20
3.24
3.29
3.33
3.38
3.43
3.48
3.53
3.58
3.64
3.69
3.75
3.81
3.87
3.93
4.00
4.07

183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229

24.17%
23.75%
23.33%
22.92%
22.50%
22.08%
21.67%
21.25%
20.83%
20.42%
20.00%
19.58%
19.17%
18.75%
18.33%
17.92%
17.50%
17.08%
16.67%
16.25%
15.83%
15.42%
15.00%
14.58%
14.17%
13.75%
13.33%
12.92%
12.50%
12.08%
11.67%
11.25%
10.83%
10.42%
10.00%
9.58%
9.17%
8.75%
8.33%
7.92%
7.50%
7.08%
6.67%
6.25%
5.83%
5.42%
5.00%

4.14
4.21
4.29
4.36
4.44
4.53
4.62
4.71
4.80
4.90
5.00
5.11
5.22
5.33
5.45
5.58
5.71
5.85
6.00
6.15
6.32
6.49
6.67
6.86
7.06
7.27
7.50
7.74
8.00
8.28
8.57
8.89
9.23
9.60
10.00
10.43
10.91
11.43
12.00
12.63
13.33
14.12
15.00
16.00
17.14
18.46
20.00

24.17%
23.75%
23.33%
22.92%
22.50%
22.08%
21.67%
21.25%
20.83%
20.42%
20.00%
19.58%
19.17%
18.75%
18.33%
17.92%
17.50%
17.08%
16.67%
16.25%
15.83%
15.42%
15.00%
14.58%
14.17%
13.75%
13.33%
12.92%
12.50%
12.08%
11.67%
11.25%
10.83%
10.42%
10.00%
9.58%
9.17%
8.75%
8.33%
7.92%
7.50%
7.08%
6.67%
6.25%
5.83%
5.42%
5.00%

4.14
4.21
4.29
4.36
4.44
4.53
4.62
4.71
4.80
4.90
5.00
5.11
5.22
5.33
5.45
5.58
5.71
5.85
6.00
6.15
6.32
6.49
6.67
6.86
7.06
7.27
7.50
7.74
8.00
8.28
8.57
8.89
9.23
9.60
10.00
10.43
10.91
11.43
12.00
12.63
13.33
14.12
15.00
16.00
17.14
18.46
20.00

230
231
232
233
234
235
236
237
238
239
240

4.58%
4.17%
3.75%
3.33%
2.92%
2.50%
2.08%
1.67%
1.25%
0.83%
0.42%
Average Tries:

21.82
24.00
26.67
30.00
34.29
40.00
48.00
60.00
80.00
120.00
240.00
1922.81

4.58%
4.17%
3.75%
3.33%
2.92%
2.50%
2.08%
1.67%
1.25%
0.83%
0.42%
Average Tries:

21.82
24.00
26.67
30.00
34.29
40.00
48.00
60.00
80.00
120.00
240.00
1454.38

* 154 available refers to all pokemon currently available in the game globally, including
region exclusives
* 240 available refers to all non-legendary and non-mythical pokemon anticipated with a
"full" release of Gen 2
- This assumes even distribution for simplicity, as if species were merely a number on a 154
or 240 sided die. Real distribution is far more complex, but will exacerbate this difference,
making a full release even more favorable. Furthermore, having to travel to catch pokemon
-twice- would not benefit people just getting the game in their area.


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