Fixed Dice
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- "Trio of dice that deal more damage the higher they roll."
- —Description
The Fixed Dice (イカサマのダイス, Ikasama no Daisu?) is a weapon in Final Fantasy VI that only Setzer can use. Its Battle Power is 1, and it is found in Kefka's Tower. Fixed Dice are affected by the Capture Glitch.
When used, three dice are thrown at the opponent, and the damage dealt is equal to the product of all three rolls, multiplied by Setzer's level, then doubled. If all dice rolls are the same, the damage is again doubled.
Mathematically:
A, B, C -> Number rolled on each die L -> Setzer's Level T -> T=2 if Setzer rolls a triple, otherwise T=1
Damage = A x B x C x L x T x 2
The Fixed Dice are long range weapon, and ignore defense, the Master's Scroll damage penalty, and all other factors that normally determine damage. The numbers 1, 2, 3, and 4 have a 3/16 chance of appearing, while 5 and 6 have a 1/8 chance of appearing (on the first 2 dice only; the third one has 1/6 chance for each digit).
What makes the Fixed Dice so unique is their high damage output - rolling triple 6, while difficult, would result in doing damage equal to Setzer's level times 864 - 6 x 6 x 6, x 2 x 2. Thus, at as low a level as 50, Setzer can do thousands of damage with relatively low rolls, and with a bit of luck, can easily inflict 9999 damage a roll. Combined with the Master's Scroll, Setzer could take out many of the game's bosses in a single attack, and with Quick cast to allow him to attack twice, Setzer potentially could kill any boss on his own.
Over the long term, the Fixed Dice deals damage averaging to about 71 times Setzer's level per hit, while most of the time dealing damage around 42 times Setzer's level.
| Dmg Multiplier | % of Rolling | Expected Dmg | Median (at 50%) |
|---|---|---|---|
| 4 | 0.0263671875 | 0.10546875 | 0.0263671875 |
| 6 | 0.019775390625 | 0.11865234375 | 0.046142578125 |
| 8 | 0.03955078125 | 0.31640625 | 0.085693359375 |
| 10 | 0.01318359375 | 0.1318359375 | 0.098876953125 |
| 12 | 0.052734375 | 0.6328125 | 0.151611328125 |
| 16 | 0.03955078125 | 0.6328125 | 0.191162109375 |
| 18 | 0.019775390625 | 0.35595703125 | 0.2109375 |
| 20 | 0.0263671875 | 0.52734375 | 0.2373046875 |
| 24 | 0.085693359375 | 2.056640625 | 0.322998046875 |
| 30 | 0.0263671875 | 0.791015625 | 0.349365234375 |
| 32 | 0.046142578125 | 1.4765625 | 0.3955078125 |
| 36 | 0.046142578125 | 1.6611328125 | 0.441650390625 |
| 40 | 0.03955078125 | 1.58203125 | 0.481201171875 |
| 48 | 0.0791015625 | 3.796875 | 0.560302734375 |
| 50 | 0.0087890625 | 0.439453125 | 0.569091796875 |
| 60 | 0.0439453125 | 2.63671875 | 0.613037109375 |
| 64 | 0.019775390625 | 1.265625 | 0.6328125 |
| 72 | 0.054931640625 | 3.955078125 | 0.687744140625 |
| 80 | 0.0263671875 | 2.109375 | 0.714111328125 |
| 90 | 0.01318359375 | 1.1865234375 | 0.727294921875 |
| 96 | 0.046142578125 | 4.4296875 | 0.7734375 |
| 100 | 0.0087890625 | 0.87890625 | 0.7822265625 |
| 108 | 0.019775390625 | 2.1357421875 | 0.802001953125 |
| 120 | 0.0439453125 | 5.2734375 | 0.845947265625 |
| 144 | 0.03515625 | 5.0625 | 0.881103515625 |
| 150 | 0.0087890625 | 1.318359375 | 0.889892578125 |
| 160 | 0.01318359375 | 2.109375 | 0.903076171875 |
| 180 | 0.017578125 | 3.1640625 | 0.920654296875 |
| 192 | 0.01318359375 | 2.53125 | 0.933837890625 |
| 200 | 0.0087890625 | 1.7578125 | 0.942626953125 |
| 216 | 0.0087890625 | 1.8984375 | 0.951416015625 |
| 240 | 0.017578125 | 4.21875 | 0.968994140625 |
| 256 | 0.006591796875 | 1.6875 | 0.9755859375 |
| 288 | 0.0087890625 | 2.53125 | 0.984375 |
| 300 | 0.005859375 | 1.7578125 | 0.990234375 |
| 360 | 0.005859375 | 2.109375 | 0.99609375 |
| 500 | 0.001953125 | 0.9765625 | 0.998046875 |
| 864 | 0.001953125 | 1.6875 | 1 |
| sum expected | 71.306640625 |
Other Appearances
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Dissidia 012 Final Fantasy
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Fixed Dice is a thrown weapon.
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