クリティカルレイ発動時のダメージ期待値です。
最初の威力判定での1ゾロは行動自体の失敗としています。(ルールブック1/P155)
最初の威力判定での1ゾロは行動自体の失敗としています。(ルールブック1/P155)
| 0 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 1.667 | 1.714 | 1.818 | 2.000 | 2.308 | 2.857 |
| B(+1) | 2.139 | 2.282 | 2.442 | 2.694 | 3.100 | 3.806 |
| A(+2) | 2.611 | 2.897 | 3.116 | 3.444 | 3.957 | 4.675 |
| S(+3) | 3.028 | 3.504 | 3.785 | 4.194 | 4.694 | 5.409 |
| SS(+6) | 3.750 | 4.988 | 5.265 | 5.583 | 5.994 | 6.528 |
| 10 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 3.333 | 3.429 | 3.636 | 4.000 | 4.615 | 5.714 |
| B(+1) | 3.972 | 4.258 | 4.578 | 5.083 | 5.895 | 7.306 |
| A(+2) | 4.611 | 5.183 | 5.621 | 6.278 | 7.303 | 8.738 |
| S(+3) | 5.167 | 6.119 | 6.682 | 7.500 | 8.500 | 9.929 |
| SS(+6) | 6.417 | 8.893 | 9.447 | 10.083 | 10.904 | 11.972 |
| 20 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 5.000 | 5.143 | 5.455 | 6.000 | 6.923 | 8.571 |
| B(+1) | 5.944 | 6.373 | 6.854 | 7.611 | 8.829 | 10.944 |
| A(+2) | 6.833 | 7.690 | 8.348 | 9.333 | 10.872 | 13.024 |
| S(+3) | 7.639 | 9.067 | 9.912 | 11.139 | 12.639 | 14.782 |
| SS(+6) | 9.278 | 12.992 | 13.823 | 14.778 | 16.009 | 17.611 |
| 30 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 6.667 | 6.857 | 7.273 | 8.000 | 9.231 | 11.429 |
| B(+1) | 7.556 | 8.127 | 8.768 | 9.778 | 11.402 | 14.222 |
| A(+2) | 8.278 | 9.421 | 10.298 | 11.611 | 13.662 | 16.532 |
| S(+3) | 8.889 | 10.794 | 11.919 | 13.556 | 15.556 | 18.413 |
| SS(+6) | 9.667 | 14.619 | 15.727 | 17.000 | 18.641 | 20.778 |
| 40 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 8.333 | 8.571 | 9.091 | 10.000 | 11.538 | 14.286 |
| B(+1) | 9.306 | 10.020 | 10.821 | 12.083 | 14.113 | 17.639 |
| A(+2) | 10.167 | 11.595 | 12.692 | 14.333 | 16.897 | 20.484 |
| S(+3) | 10.889 | 13.270 | 14.677 | 16.722 | 19.222 | 22.794 |
| SS(+6) | 12.250 | 18.440 | 19.826 | 21.417 | 23.468 | 26.139 |
| 50 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 10.000 | 10.286 | 10.909 | 12.000 | 13.846 | 17.143 |
| B(+1) | 11.111 | 11.968 | 12.929 | 14.444 | 16.880 | 21.111 |
| A(+2) | 12.028 | 13.742 | 15.058 | 17.028 | 20.105 | 24.409 |
| S(+3) | 12.806 | 15.663 | 17.351 | 19.806 | 22.806 | 27.091 |
| SS(+6) | 14.250 | 21.679 | 23.341 | 25.250 | 27.712 | 30.917 |
| 60 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 11.667 | 12.000 | 12.727 | 14.000 | 16.154 | 20.000 |
| B(+1) | 12.833 | 13.833 | 14.955 | 16.722 | 19.564 | 24.500 |
| A(+2) | 13.806 | 15.806 | 17.341 | 19.639 | 23.229 | 28.250 |
| S(+3) | 14.722 | 18.056 | 20.025 | 22.889 | 26.389 | 31.389 |
| SS(+6) | 16.806 | 25.472 | 27.412 | 29.639 | 32.511 | 36.250 |
| 70 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 13.333 | 13.714 | 14.545 | 16.000 | 18.462 | 22.857 |
| B(+1) | 14.806 | 15.948 | 17.230 | 19.250 | 22.498 | 28.139 |
| A(+2) | 15.944 | 18.230 | 19.985 | 22.611 | 26.714 | 32.452 |
| S(+3) | 16.889 | 20.698 | 22.949 | 26.222 | 30.222 | 35.937 |
| SS(+6) | 18.278 | 28.183 | 30.399 | 32.944 | 36.226 | 40.500 |
| 80 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 15.000 | 15.429 | 16.364 | 18.000 | 20.769 | 25.714 |
| B(+1) | 16.861 | 18.147 | 19.588 | 21.861 | 25.515 | 31.861 |
| A(+2) | 18.444 | 21.016 | 22.990 | 25.944 | 30.560 | 37.016 |
| S(+3) | 19.778 | 24.063 | 26.596 | 30.278 | 34.778 | 41.206 |
| SS(+6) | 21.917 | 33.060 | 35.553 | 38.417 | 42.109 | 46.917 |
| 90 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 16.639 | 17.114 | 18.152 | 19.967 | 23.038 | 28.524 |
| B(+1) | 18.611 | 20.037 | 21.636 | 24.157 | 28.210 | 35.250 |
| A(+2) | 20.361 | 23.213 | 25.403 | 28.681 | 33.800 | 40.962 |
| S(+3) | 21.889 | 26.643 | 29.452 | 33.536 | 38.528 | 45.659 |
| SS(+6) | 24.639 | 36.999 | 39.765 | 42.942 | 47.037 | 52.370 |
| 100 | C値13 | C値12 | C値11 | C値10 | C値9 | C値8 |
| - | 18.333 | 18.857 | 20.000 | 22.000 | 25.385 | 31.429 |
| B(+1) | 20.361 | 21.933 | 23.694 | 26.472 | 30.938 | 38.694 |
| A(+2) | 22.222 | 25.365 | 27.778 | 31.389 | 37.030 | 44.921 |
| S(+3) | 23.944 | 29.183 | 32.278 | 36.778 | 42.278 | 50.135 |
| SS(+6) | 27.889 | 41.508 | 44.556 | 48.056 | 52.568 | 58.444 |
クリティカルレイ期待値の計算式
1.威力20の通常のクリティカル12期待値は以下の通りです。
(20+10)/6*36/35=5.1428≒5.143
検証
| 出目 | 威力20 | - | |
| 2 | 0 | 1 | 0.000 |
| 3 | 1 | 2 | 0.056 |
| 4 | 2 | 3 | 0.167 |
| 5 | 3 | 4 | 0.333 |
| 6 | 4 | 5 | 0.556 |
| 7 | 5 | 6 | 0.833 |
| 8 | 6 | 5 | 0.833 |
| 9 | 7 | 4 | 0.778 |
| 10 | 8 | 3 | 0.667 |
| 11 | 9 | 2 | 0.500 |
| 12 | 10 | 1 | 0.278 |
| - | - | - | 5.000 |
5.000+(5.000/36)+(5.000/36/36)+(5.000/36/36/36)…=5.1428≒5.143
2.威力20のクリティカルレイB時のクリティカル12期待値は以下の通りです。
5.944+(20+10)/6*3/36*36/35=6.3725≒6.373
検証
| 出目 | 威力20 | 通常 | B(+1) | ||
| 2 | 0 | 1 | 0.000 | 1 | 0.000 |
| 3 | 1 | 2 | 0.056 | 0 | 0.000 |
| 4 | 2 | 3 | 0.167 | 2 | 0.111 |
| 5 | 3 | 4 | 0.333 | 3 | 0.250 |
| 6 | 4 | 5 | 0.556 | 4 | 0.444 |
| 7 | 5 | 6 | 0.833 | 5 | 0.694 |
| 8 | 6 | 5 | 0.833 | 6 | 1.000 |
| 9 | 7 | 4 | 0.778 | 5 | 0.972 |
| 10 | 8 | 3 | 0.667 | 4 | 0.889 |
| 11 | 9 | 2 | 0.500 | 3 | 0.750 |
| 12 | 10 | 1 | 0.278 | 3 | 0.833 |
| - | - | - | 5.000 | - | 5.944 |
5.944+(5.000*3/36)+(5.000*3/36/36)+(5.000*3/36/36/36)…=6.3725≒6.373
2の式を整理してみます。
5.944+5.000*3/35
エレガントにまとまりました。
