I would have appreciated this before I entered reroll hell to gain some expectations / perspective on what would happen. Others, feel free to post your roll history. Some observations:
- average hex roll is below tri token roll
- tri tokens excellent for recovering from hex rolls (average total ~70), though max is 74.
- variance on hexes is HUGE... ranges from 50's to 70's... all over the map.
- average hex/oct roll: 66
- approximate basic odds: single 18 is 1/7 rolls, double 18 is 1/49
- final roll not even 2x18, so 18's not the end-all-be-all.
- final roll 16 16 17 17 18 (84 total)
From talking with others, hitting 84 total in 132 rolls is somewhat atypical -- usually this takes 300+ rolls.
Cheers! -driven
1. Str: 11[11], Int: 11[11], Wis: 16[16], Dex: 14[14], Con: 17[17] (69[69])
2. Str: 12[12], Int: 7[7], Wis: 16[16], Dex: 13[13], Con: 18[18] (66[66])
3. Str: 11[11], Int: 11[11], Wis: 16[16], Dex: 12[12], Con: 16[16] (66[66])
4. Str: 14[14], Int: 14[14], Wis: 15[15], Dex: 15[15], Con: 17[17] (75[75])
5. Str: 10[10], Int: 10[10], Wis: 16[16], Dex: 12[12], Con: 17[17] (65[65])
6. Str: 12[12], Int: 8[8], Wis: 13[13], Dex: 13[13], Con: 18[18] (64[64])
7. Str: 14[14], Int: 14[14], Wis: 16[16], Dex: 15[15], Con: 17[17] (76[76])
8. Str: 12[12], Int: 11[11], Wis: 13[13], Dex: 12[12], Con: 14[14] (62[62])
9. Str: 9[9], Int: 8[8], Wis: 11[11], Dex: 10[10], Con: 12[12] (50[50])
10. Str: 10[10], Int: 8[8], Wis: 12[12], Dex: 11[11], Con: 15[15] (56[56])
11. Str: 12[12], Int: 11[11], Wis: 13[13], Dex: 12[12], Con: 13[13] (61[61])
12. Str: 12[12], Int: 11[11], Wis: 13[13], Dex: 13[13], Con: 17[17] (66[66])
13. Str: 11[11], Int: 6[6], Wis: 13[13], Dex: 12[12], Con: 14[14] (56[56])
14. Str: 13[13], Int: 12[12], Wis: 15[15], Dex: 13[13], Con: 17[17] (70[70])
15. Str: 12[12], Int: 9[9], Wis: 16[16], Dex: 15[15], Con: 16[16] (68[68])
16. Str: 10[10], Int: 10[10], Wis: 13[13], Dex: 11[11], Con: 16[16] (60[60])
17. Str: 12[12], Int: 10[10], Wis: 17[17], Dex: 15[15], Con: 18[18] (72[72])
18. Str: 11[11], Int: 9[9], Wis: 12[12], Dex: 12[12], Con: 13[13] (57[57])
19. Str: 12[12], Int: 12[12], Wis: 15[15], Dex: 13[13], Con: 18[18] (70[70])
20. Str: 13[13], Int: 8[8], Wis: 14[14], Dex: 13[13], Con: 15[15] (63[63])
21. Str: 13[13], Int: 10[10], Wis: 13[13], Dex: 13[13], Con: 15[15] (64[64])
22. Str: 11[11], Int: 9[9], Wis: 12[12], Dex: 11[11], Con: 15[15] (58[58])
23. Str: 9[9], Int: 7[7], Wis: 16[16], Dex: 10[10], Con: 17[17] (59[59])
24. Str: 13[13], Int: 12[12], Wis: 14[14], Dex: 14[14], Con: 15[15] (68[68])
25. Str: 14[14], Int: 12[12], Wis: 15[15], Dex: 14[14], Con: 16[16] (71[71])
26. Str: 13[13], Int: 13[13], Wis: 14[14], Dex: 13[13], Con: 17[17] (70[70])
27. Str: 11[11], Int: 10[10], Wis: 15[15], Dex: 11[11], Con: 15[15] (62[62])
28. Str: 12[10], Int: 9[9], Wis: 15[15], Dex: 12[10], Con: 18[18] (66[62])
29. Str: 13[11], Int: 9[9], Wis: 16[16], Dex: 17[15], Con: 16[16] (71[67])
30. Str: 15[13], Int: 11[11], Wis: 16[16], Dex: 16[14], Con: 17[17] (75[71])
31. Str: 17[15], Int: 11[11], Wis: 15[15], Dex: 17[15], Con: 16[16] (76[72])
32. Str: 13[11], Int: 8[8], Wis: 15[15], Dex: 15[12], Con: 17[17] (68[63])
33. Str: 13[11], Int: 11[11], Wis: 15[15], Dex: 17[14], Con: 15[15] (71[66])
34. Str: 16[14], Int: 13[13], Wis: 16[16], Dex: 18[15], Con: 16[16] (79[74])
35. Str: 12[10], Int: 13[9], Wis: 14[14], Dex: 14[13], Con: 14[14] (67[60])
36. Str: 11[9], Int: 10[6], Wis: 11[11], Dex: 11[10], Con: 11[11] (54[47])
37. Str: 14[12], Int: 16[12], Wis: 14[14], Dex: 14[13], Con: 18[18] (76[69])
38. Str: 15[13], Int: 12[12], Wis: 14[14], Dex: 17[14], Con: 14[14] (72[67])
39. Str: 14[12], Int: 11[11], Wis: 15[15], Dex: 17[14], Con: 17[17] (74[69])
40. Str: 13[12], Int: 10[10], Wis: 15[13], Dex: 14[12], Con: 15[15] (67[62])
41. Str: 12[10], Int: 10[10], Wis: 13[13], Dex: 16[13], Con: 13[13] (64[59])
42. Str: 13[11], Int: 8[8], Wis: 16[16], Dex: 16[13], Con: 17[17] (70[65])
43. Str: 12[10], Int: 9[9], Wis: 16[16], Dex: 16[13], Con: 18[18] (71[66])
44. Str: 16[14], Int: 14[14], Wis: 16[16], Dex: 18[15], Con: 17[17] (81[76]) [OCT]
45. Str: 12[10], Int: 9[9], Wis: 13[13], Dex: 15[12], Con: 17[17] (66[61])
46. Str: 14[12], Int: 9[9], Wis: 15[15], Dex: 17[14], Con: 15[15] (70[65])
47. Str: 9[7], Int: 7[7], Wis: 9[9], Dex: 12[9], Con: 15[15] (52[47])
48. Str: 13[11], Int: 10[10], Wis: 14[14], Dex: 15[12], Con: 15[15] (67[62])
49. Str: 10[8], Int: 7[7], Wis: 14[14], Dex: 14[11], Con: 14[14] (59[54])
50. Str: 15[13], Int: 9[9], Wis: 14[14], Dex: 16[13], Con: 17[17] (71[66])
51. Str: 12[10], Int: 10[10], Wis: 13[13], Dex: 14[11], Con: 17[17] (66[61])
52. Str: 16[14], Int: 13[13], Wis: 15[15], Dex: 17[14], Con: 16[16] (77[72])
53. Str: 15[13], Int: 13[13], Wis: 15[15], Dex: 17[14], Con: 16[16] (76[71])
54. Str: 13[11], Int: 9[9], Wis: 15[15], Dex: 17[14], Con: 18[18] (72[67])
55. Str: 12[10], Int: 9[9], Wis: 13[13], Dex: 15[12], Con: 14[14] (63[58])
56. Str: 15[13], Int: 10[10], Wis: 15[15], Dex: 18[15], Con: 16[16] (74[69])
57. Str: 14[12], Int: 9[9], Wis: 14[14], Dex: 16[13], Con: 15[15] (68[63])
58. Str: 14[12], Int: 5[5], Wis: 14[14], Dex: 17[14], Con: 18[18] (68[63])
59. Str: 15[13], Int: 13[13], Wis: 15[15], Dex: 17[14], Con: 17[17] (77[72]) [OCT]
60. Str: 12[10], Int: 10[10], Wis: 13[13], Dex: 15[12], Con: 14[14] (64[59]) [OCT]
61. Str: 14[12], Int: 9[9], Wis: 14[14], Dex: 16[13], Con: 18[18] (71[66])
62. Str: 16[14], Int: 6[6], Wis: 16[16], Dex: 17[14], Con: 17[17] (72[67])
63. Str: 12[10], Int: 10[10], Wis: 15[15], Dex: 16[13], Con: 17[17] (70[65])
64. Str: 12[10], Int: 10[10], Wis: 13[13], Dex: 15[12], Con: 15[15] (65[60])
65. Str: 13[11], Int: 10[10], Wis: 12[12], Dex: 14[11], Con: 13[13] (62[57])
66. Str: 13[11], Int: 9[9], Wis: 15[15], Dex: 16[13], Con: 17[17] (70[65])
67. Str: 16[14], Int: 9[9], Wis: 15[15], Dex: 18[15], Con: 18[18] (76[71]) [OCT]
68. Str: 15[13], Int: 8[8], Wis: 15[15], Dex: 17[14], Con: 17[17] (72[67]) [OCT]
69. Str: 13[11], Int: 10[10], Wis: 14[14], Dex: 16[13], Con: 16[16] (69[64])
70. Str: 15[13], Int: 10[10], Wis: 16[16], Dex: 18[16], Con: 17[17] (76[72])
71. Str: 16[14], Int: 13[13], Wis: 17[17], Dex: 18[16], Con: 18[18] (82[78])
72. Str: 15[13], Int: 12[12], Wis: 15[15], Dex: 17[14], Con: 17[17] (76[71])
73. Str: 14[12], Int: 9[9], Wis: 14[14], Dex: 16[13], Con: 17[17] (70[65]) [OCT]
74. Str: 14[12], Int: 12[12], Wis: 15[15], Dex: 16[13], Con: 15[15] (72[67]) [OCT]
75. Str: 11[9], Int: 8[8], Wis: 16[16], Dex: 13[10], Con: 16[16] (64[59]) [OCT]
76. Str: 13[11], Int: 9[9], Wis: 12[12], Dex: 15[12], Con: 13[13] (62[57]) [OCT]
77. Str: 14[12], Int: 11[11], Wis: 16[16], Dex: 18[15], Con: 18[18] (77[72])
78. Str: 16[14], Int: 6[6], Wis: 15[15], Dex: 18[15], Con: 17[17] (72[67])
79. Str: 16[14], Int: 11[11], Wis: 15[15], Dex: 18[15], Con: 16[16] (76[71])
80. Str: 12[10], Int: 8[8], Wis: 15[15], Dex: 16[13], Con: 17[17] (68[63])
81. Str: 13[11], Int: 9[9], Wis: 18[18], Dex: 18[16], Con: 18[18] (76[72])
82. Str: 15[13], Int: 11[11], Wis: 16[16], Dex: 17[14], Con: 17[17] (76[71])
83. Str: 14[12], Int: 10[10], Wis: 17[17], Dex: 16[13], Con: 18[18] (75[70])
84. Str: 15[13], Int: 13[13], Wis: 14[14], Dex: 16[13], Con: 16[16] (74[69])
85. Str: 16[14], Int: 11[11], Wis: 17[17], Dex: 18[15], Con: 17[17] (79[74])
86. Str: 17[15], Int: 10[10], Wis: 15[15], Dex: 18[15], Con: 16[16] (76[71])
87. Str: 15[13], Int: 12[12], Wis: 15[15], Dex: 16[13], Con: 18[18] (76[71])
88. Str: 14[12], Int: 10[10], Wis: 15[15], Dex: 17[14], Con: 16[16] (72[67])
89. Str: 14[13], Int: 8[8], Wis: 15[15], Dex: 18[14], Con: 18[18] (73[68])
90. Str: 14[13], Int: 11[11], Wis: 16[16], Dex: 18[14], Con: 17[17] (76[71])
91. Str: 12[11], Int: 9[9], Wis: 16[16], Dex: 17[13], Con: 16[16] (70[65])
92. Str: 13[12], Int: 12[12], Wis: 14[14], Dex: 17[13], Con: 15[15] (71[66])
93. Str: 11[10], Int: 8[8], Wis: 13[13], Dex: 13[10], Con: 18[18] (63[59])
94. Str: 13[12], Int: 10[10], Wis: 15[15], Dex: 17[14], Con: 17[17] (72[68])
95. Str: 14[13], Int: 11[11], Wis: 16[16], Dex: 17[14], Con: 17[17] (75[71])
96. Str: 11[10], Int: 8[8], Wis: 13[13], Dex: 14[11], Con: 14[14] (60[56])
97. Str: 14[13], Int: 13[13], Wis: 14[14], Dex: 16[13], Con: 17[17] (74[70])
98. Str: 14[13], Int: 13[13], Wis: 15[15], Dex: 17[14], Con: 17[17] (76[72])
99. Str: 14[13], Int: 10[10], Wis: 15[15], Dex: 18[15], Con: 15[15] (72[68])
100. Str: 13[12], Int: 12[12], Wis: 12[12], Dex: 15[12], Con: 14[14] (66[62])
101. Str: 13[12], Int: 9[9], Wis: 15[15], Dex: 17[14], Con: 16[16] (70[66]) [OCT]
102. Str: 16[15], Int: 14[14], Wis: 17[17], Dex: 18[16], Con: 18[18] (83[80])
103. Str: 13[12], Int: 8[8], Wis: 15[15], Dex: 18[14], Con: 17[17] (71[66])
104. Str: 13[12], Int: 9[9], Wis: 16[16], Dex: 18[16], Con: 16[16] (72[69])
105. Str: 13[12], Int: 11[11], Wis: 14[14], Dex: 18[14], Con: 15[15] (71[66])
106. Str: 11[10], Int: 7[7], Wis: 13[13], Dex: 15[11], Con: 14[14] (60[55])
107. Str: 10[9], Int: 7[7], Wis: 14[14], Dex: 15[11], Con: 14[14] (60[55])
108. Str: 11[10], Int: 9[9], Wis: 14[14], Dex: 18[14], Con: 16[16] (68[63])
109. Str: 14[13], Int: 12[12], Wis: 17[17], Dex: 18[15], Con: 17[17] (78[74])
110. Str: 13[12], Int: 7[7], Wis: 18[18], Dex: 18[17], Con: 18[18] (74[72])
111. Str: 11[10], Int: 10[10], Wis: 15[15], Dex: 14[10], Con: 18[18] (68[63])
112. Str: 12[11], Int: 11[11], Wis: 15[15], Dex: 15[12], Con: 15[15] (68[64])
113. Str: 16[15], Int: 14[14], Wis: 16[16], Dex: 18[15], Con: 17[17] (81[77])
114. Str: 15[14], Int: 10[10], Wis: 16[16], Dex: 17[14], Con: 18[18] (76[72])
115. Str: 13[12], Int: 10[10], Wis: 16[16], Dex: 17[14], Con: 17[17] (73[69])
116. Str: 11[10], Int: 8[8], Wis: 15[15], Dex: 18[15], Con: 16[16] (68[64])
117. Str: 14[13], Int: 12[12], Wis: 15[15], Dex: 18[15], Con: 16[16] (75[71])
118. Str: 14[13], Int: 12[12], Wis: 17[17], Dex: 18[15], Con: 17[17] (78[74])
119. Str: 13[12], Int: 9[9], Wis: 16[16], Dex: 18[15], Con: 18[18] (74[70])
120. Str: 12[11], Int: 9[9], Wis: 15[15], Dex: 14[11], Con: 16[16] (66[62])
121. Str: 14[13], Int: 11[11], Wis: 16[16], Dex: 18[15], Con: 17[17] (76[72])
122. Str: 12[11], Int: 10[10], Wis: 15[15], Dex: 17[14], Con: 18[18] (72[68])
123. Str: 10[9], Int: 8[8], Wis: 15[15], Dex: 17[14], Con: 15[15] (65[61])
124. Str: 15[14], Int: 12[12], Wis: 16[16], Dex: 17[14], Con: 18[18] (78[74])
125. Str: 12[11], Int: 10[10], Wis: 13[13], Dex: 16[13], Con: 17[17] (68[64])
126. Str: 13[12], Int: 7[7], Wis: 16[16], Dex: 17[14], Con: 18[18] (71[67])
127. Str: 11[10], Int: 6[6], Wis: 14[14], Dex: 16[13], Con: 17[17] (64[60])
128. Str: 11[10], Int: 8[8], Wis: 14[14], Dex: 17[14], Con: 17[17] (67[63])
129. Str: 13[12], Int: 10[10], Wis: 12[12], Dex: 15[12], Con: 14[14] (64[60])
130. Str: 10[9], Int: 8[8], Wis: 12[12], Dex: 14[11], Con: 18[18] (62[58])
131. Str: 15[14], Int: 12[12], Wis: 16[16], Dex: 18[15], Con: 17[17] (78[74])
132. Str: 17[16], Int: 16[16], Wis: 17[17], Dex: 18[17], Con: 18[18] (86[84])