Credits : 呆呆小蝸
Editors : 哈特 DC https://discord.gg/CJfr4QY4Jy

http://naretev.se/tftrolldownsimulator/

※此表格是以抽同一隻來計算
注意： 沒算每四下一次天選
注意： 沒考慮場上其他同塊的比例

* 同塊的比例
舉例來說：今天外面許多人拿了許多安妮，此時牌庫裡其他12張1費卡會相對多數，而安妮就變得相當難出，
因此這個期望值是個約數。

原Excel檔
https://docs.google.com/spreadsheets/d/e/2PACX-1vRW-3z5IlJshDksP1nCr7THth-MbNlZWqf3rtfd9QIW_Ow2HxxTwzMYRxLMDSmNsk-reL984yzYTJXY/pubhtml 期望值數字

特定主秀英雄的期望值 - 抽的次數 (花費金錢) 需特定羈絆的話 雙羈絆*2 三羈絆*3

| 主秀英雄 | | 1費| 2費 | 3費 | 4費 | 5費 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| LV 3 | | 13.000 (26.000) | | | | |
| LV 4 | | 16.250 (32.500) | 65.000 (130.000) | | | |
| LV 5 | | 43.333 (86.667) | 18.571 (37.143) | | | |
| LV 6 | | | 17.333 (34.667) | 52.000 (104.000) | | |
| LV 7 | | | 32.500 (65.000) | 21.667 (43.333) | | |
| LV 8 | | | | 18.571 (37.143) | 40.000 (80.000) | |
| LV 9 | | | | | 12.245 (24.490) | 400.000 (800.000) |
| LV 10 | | | | | 40.000 (80.000) | 11.429 (22.857) |
| 好戲上場 | | | | | 120.000 (240.000) | 8.889 (17.778) |

目標： 4、5 等 1費； 5、6、7等 2費； 6、7、8等 3費； 7、8、9等 4費； 7﹑8、9、10等 5費

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 4 | 1 | 55% | 22 | | 4.727 | 9.455 |
| 4 | 1 | 55% | 21 | | 4.952 | 9.905 |
| 4 | 1 | 55% | 20 | | 5.200 | 10.400 |
| 4 | 1 | 55% | 19 | | 5.474 | 10.947 |
| 4 | 1 | 55% | 18 | | 5.778 | 11.556 |
| 4 | 1 | 55% | 17 | | 6.118 | 12.235 |
| 4 | 1 | 55% | 16 | | 6.500 | 13.000 |
| 4 | 1 | 55% | 15 | | 6.933 | 13.867 |
| 4 | 1 | 55% | 14 | | 7.429 | 14.857 |
| 4 | 1 | 55% | 13 | | 8.000 | 16.000 |
| 4 | 1 | 55% | 12 | | 8.667 | 17.333 |
| 4 | 1 | 55% | 11 | | 9.455 | 18.909 |
| 4 | 1 | 55% | 10 | | 10.400 | 20.800 |
| 4 | 1 | 55% | 9 | | 11.556 | 23.111 |
| 4 | 1 | 55% | 8 | | 13.000 | 26.000 |
| 4 | 1 | 55% | 7 | | 14.857 | 29.714 |
| 4 | 1 | 55% | 6 | | 17.333 | 34.667 |
| 4 | 1 | 55% | 5 | | 20.800| 41.600 |
| 4 | 1 | 55% | 4 | | 26.000 | 52.000 |
| 4 | 1 | 55% | 3 | | 34.667 | 69.333 |
| 4 | 1 | 55% | 2 | | 52.000 | 104.000 |
| 4 | 1 | 55% | 1 | | 104.000 | 208.000 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 5 | 1 | 45% | 22 | | 5.778 | 11.556 |
| 5 | 1 | 45% | 21 | | 6.053 | 12.106 |
| 5 | 1 | 45% | 20 | | 6.356 | 12.711 |
| 5 | 1 | 45% | 19 | | 6.690 | 13.38 |
| 5 | 1 | 45% | 18 | | 7.062 | 14.123 |
| 5 | 1 | 45% | 17 | | 7.477 | 14.954 |
| 5 | 1 | 45% | 16 | | 7.944 | 15.889 |
| 5 | 1 | 45% | 15 | | 8.474 | 16.948 |
| 5 | 1 | 45% | 14 | | 9.079 | 18.159 |
| 5 | 1 | 45% | 13 | | 9.778 | 19.556 |
| 5 | 1 | 45% | 12 | | 10.593 | 21.185 |
| 5 | 1 | 45% | 11 | | 11.556 | 23.111 |
| 5 | 1 | 45% | 10 | | 12.711 | 25.422 |
| 5 | 1 | 45% | 9 | | 14.123 | 28.247 |
| 5 | 1 | 45% | 8 | | 15.889 | 31.778 |
| 5 | 1 | 45% | 7 | | 18.159 | 36.317 |
| 5 | 1 | 45% | 6 | | 21.185 | 42.370 |
| 5 | 1 | 45% | 5 | | 25.422 | 50.844 |
| 5 | 1 | 45% | 4 | | 31.778 | 63.556 |
| 5 | 1 | 45% | 3 | | 63.556 | 127.111 |
| 5 | 1 | 45% | 1 | | 127.111 | 254.222 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 5 | 2 | 33% | 20 | | 7.879 | 15.758 |
| 5 | 2 | 33% | 19 | | 8.293 | 16.587 |
| 5 | 2 | 33% | 18 | | 8.754 | 17.508 |
| 5 | 2 | 33% | 17 | | 9.269 | 18.538 |
| 5 | 2 | 33% | 16 | | 9.848 | 19.697|
| 5 | 2 | 33% | 15 | | 10.505 | 21.010 |
| 5 | 2 | 33% | 14 | | 11.255 | 22.511 |
| 5 | 2 | 33% | 13 | | 12.121 | 24.242 |
| 5 | 2 | 33% | 12 | | 13.131 | 26.263 |
| 5 | 2 | 33% | 11 | | 14.325 | 28.650 |
| 5 | 2 | 33% | 10 | | 15.758 | 31.515 |
| 5 | 2 | 33% | 9 | | 17.508 | 35.017 |
| 5 | 2 | 33% | 8 | | 19.697 | 39.394 |
| 5 | 2 | 33% | 7 | | 22.511 | 45.022 |
| 5 | 2 | 33% | 6 | | 26.263 | 52.525 |
| 5 | 2 | 33% | 5 | | 31.515 | 63.030 |
| 5 | 2 | 33% | 4 | | 39.394 | 78.788 |
| 5 | 2 | 33% | 3 | | 52.525 | 105.051 |
| 5 | 2 | 33% | 2 | | 78.788 | 157.576 |
| 5 | 2 | 33% | 1 | | 157.576 | 315.152 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 6 | 2 | 40% | 20 | | 6.500 | 13.000 |
| 6 | 2 | 40% | 19 | | 6.842 | 13.684 |
| 6 | 2 | 40% | 18 | | 7.222 | 14.444 |
| 6 | 2 | 40% | 17 | | 7.647 | 15.294 |
| 6 | 2 | 40% | 16 | | 8.125 | 16.250 |
| 6 | 2 | 40% | 15 | | 8.667 | 17.333 |
| 6 | 2 | 40% | 14 | | 9.286 | 18.571 |
| 6 | 2 | 40% | 13 | | 10.000 | 20.000 |
| 6 | 2 | 40% | 12 | | 10.833 | 21.667 |
| 6 | 2 | 40% | 11 | | 11.818 | 23.636 |
| 6 | 2 | 40% | 10 | | 13.000 | 26.000 |
| 6 | 2 | 40% | 9 | | 14.444 | 28.888 |
| 6 | 2 | 40% | 8 | | 16.250 | 32.500 |
| 6 | 2 | 40% | 7 | | 18.571 | 37.143 |
| 6 | 2 | 40% | 6 | | 21.667 | 43.333 |
| 6 | 2 | 40% | 5 | | 26.000 | 52.000 |
| 6 | 2 | 40% | 4 | | 32.500 | 65.000 |
| 6 | 2 | 40% | 3 | | 43.333 | 86.667 |
| 6 | 2 | 40% | 2 | | 65.000 | 130.000 |
| 6 | 2 | 40% | 1 | | 130.000 | 260.000 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 7 | 2 | 35% | 20 | | 7.429 | 14.857 |
| 7 | 2 | 35% | 19 | | 7.820 | 15.639 |
| 7 | 2 | 35% | 18 | | 8.254 | 16.508 |
| 7 | 2 | 35% | 17 | | 8.739 | 17.479 |
| 7 | 2 | 35% | 16 | | 9.286 | 18.571 |
| 7 | 2 | 35% | 15 | | 9.905 | 15.810 |
| 7 | 2 | 35% | 14 | | 10.612 | 21.224 |
| 7 | 2 | 35% | 13 | | 11.429 | 22.857 |
| 7 | 2 | 35% | 12 | | 12.381 | 24.762 |
| 7 | 2 | 35% | 11 | | 13.506 | 27.013 |
| 7 | 2 | 35% | 10 | | 14.857 | 29.714 |
| 7 | 2 | 35% | 9 | | 16.508 | 33.016 |
| 7 | 2 | 35% | 8 | | 18.571 | 37.143 |
| 7 | 2 | 35% | 7 | | 21.224 | 42.449 |
| 7 | 2 | 35% | 6 | | 24.762 | 49.524 |
| 7 | 2 | 35% | 5 | | 29.714 | 59.429 |
| 7 | 2 | 35% | 4 | | 37.143 | 74.286 |
| 7 | 2 | 35% | 3 | | 49.524 | 99.048 |
| 7 | 2 | 35% | 2 | | 74.286 | 148.571 |
| 7 | 2 | 35% | 1 | | 148.571 | 297.143 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 6 | 3 | 25% | 17 | | 10.400 | 20.800 |
| 6 | 3 | 25% | 16 | | 11.050 | 22.100 |
| 6 | 3 | 25% | 15 | | 11.787 | 23.573 |
| 6 | 3 | 25% | 14 | | 12.629 | 25.257 |
| 6 | 3 | 25% | 13 | | 13.600 | 27.200 |
| 6 | 3 | 25% | 12 | | 14.733 | 29.467 |
| 6 | 3 | 25% | 11 | | 16.073 | 32.145 |
| 6 | 3 | 25% | 10 | | 17.680 | 35.360 |
| 6 | 3 | 25% | 9 | | 19.644 | 39.289 |
| 6 | 3 | 25% | 8 | | 22.100 | 44.200 |
| 6 | 3 | 25% | 7 | | 25.257 | 50.514 |
| 6 | 3 | 25% | 6 | | 29.467 | 58.933 |
| 6 | 3 | 25% | 5 | | 35.360 | 70.720 |
| 6 | 3 | 25% | 4 | | 44.200 | 88.400 |
| 6 | 3 | 25% | 3 | | 58.933 | 117.867 |
| 6 | 3 | 25% | 2 | | 88.400 | 176.800 |
| 6 | 3 | 25% | 1 | | 176.800 | 353.600 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 7 | 3 | 35% | 17 | | 7.429 | 14.857 |
| 7 | 3 | 35% | 16 | | 7.893 | 15.786 |
| 7 | 3 | 35% | 15 | | 8.419 | 16.838 |
| 7 | 3 | 35% | 14 | | 9.020 | 18.041 |
| 7 | 3 | 35% | 13 | | 9.714 | 19.429 |
| 7 | 3 | 35% | 12 | | 10.524 | 21.048 |
| 7 | 3 | 35% | 11 | | 11.481 | 22.961 |
| 7 | 3 | 35% | 10 | | 12.629 | 25.257 |
| 7 | 3 | 35% | 9 | | 14.032 | 28.063 |
| 7 | 3 | 35% | 8 | | 15.786 | 31.571 |
| 7 | 3 | 35% | 7 | | 18.041 | 36.082 |
| 7 | 3 | 35% | 6 | | 21.048 | 42.095 |
| 7 | 3 | 35% | 5 | | 25.257 | 50.514 |
| 7 | 3 | 35% | 4 | | 31.571 | 63.143 |
| 7 | 3 | 35% | 3 | | 42.095 | 84.190 |
| 7 | 3 | 35% | 2 | | 63.143 | 126.286 |
| 7 | 3 | 35% | 1 | | 126.286 | 252.571 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 8 | 3 | 36% | 17 | | 7.222 | 14.444 |
| 8 | 3 | 36% | 16 | | 7.674 | 15.347 |
| 8 | 3 | 36% | 15 | | 8.185 | 16.370 |
| 8 | 3 | 36% | 14 | | 8.770 | 17.540 |
| 8 | 3 | 36% | 13 | | 9.444 | 18.889 |
| 8 | 3 | 36% | 12 | | 10.231 | 20.463 |
| 8 | 3 | 36% | 11 | | 11.162 | 22.323 |
| 8 | 3 | 36% | 10 | | 12.278 | 24.556 |
| 8 | 3 | 36% | 9 | | 13.642 | 27.284 |
| 8 | 3 | 36% | 8 | | 15.347 | 30.694 |
| 8 | 3 | 36% | 7 | | 17.540 | 35.079 |
| 8 | 3 | 36% | 6 | | 20.463 | 40.926 |
| 8 | 3 | 36% | 5 | | 24.556 | 49.111 |
| 8 | 3 | 36% | 4 | | 30.694 | 61.389 |
| 8 | 3 | 36% | 3 | | 40.926 | 81.852 |
| 8 | 3 | 36% | 2 | | 61.389 | 122.778 |
| 8 | 3 | 36% | 1 | | 122.778 | 245.556 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 7 | 4 | 10% | 10 | | 24.000 | 48.000 |
| 7 | 4 | 10% | 9 | | 26.667 | 53.333 |
| 7 | 4 | 10% | 8 | | 30.000 | 60.000 |
| 7 | 4 | 10% | 7 | | 34.286 | 68.571 |
| 7 | 4 | 10% | 6 | | 40.000 | 80.000 |
| 7 | 4 | 10% | 5 | | 48.000 | 96.000 |
| 7 | 4 | 10% | 4 | | 60.000 | 120.000 |
| 7 | 4 | 10% | 3 | | 80.000 | 160.000 |
| 7 | 4 | 10% | 2 | | 120.000 | 240.000 |
| 7 | 4 | 10% | 1 | | 240.000 | 480.000 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 8 | 4 | 18% | 10 | | 13.333 | 26.667 |
| 8 | 4 | 18% | 9 | | 14.815 | 29.630 |
| 8 | 4 | 18% | 8 | | 16.667 | 33.333 |
| 8 | 4 | 18% | 7 | | 19.048 | 38.095 |
| 8 | 4 | 18% | 6 | | 22.222 | 44.444 |
| 8 | 4 | 18% | 5 | | 26.667 | 53.333 |
| 8 | 4 | 18% | 4 | | 33.333 | 66.667 |
| 8 | 4 | 18% | 3 | | 44.444 | 88.889 |
| 8 | 4 | 18% | 2 | | 66.667 | 133.333 |
| 8 | 4 | 18% | 1 | | 133.333 | 266.667 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 9 | 4 | 35% | 10 | | 6.857 | 13.714 |
| 9 | 4 | 35% | 9 | | 7.619 | 15.238 |
| 9 | 4 | 35% | 8 | | 8.571 | 17.143 |
| 9 | 4 | 35% | 7 | | 9.796 | 19.592 |
| 9 | 4 | 35% | 6 | | 11.429 | 22.857 |
| 9 | 4 | 35% | 5 | | 13.714 | 27.429 |
| 9 | 4 | 35% | 4 | | 17.143 | 34.286 |
| 9 | 4 | 35% | 3 | | 22.857 | 45.714 |
| 9 | 4 | 35% | 2 | | 34.286 | 68.571 |
| 9 | 4 | 35% | 1 | | 68.571 | 137.143 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 10 | 4 | 40% | 10 | | 6.000 | 12.000 |
| 10 | 4 | 40% | 9 | | 6.667 | 13.333 |
| 10 | 4 | 40% | 8 | | 7.500 | 15.400 |
| 10 | 4 | 40% | 7 | | 8.571 | 17.142 |
| 10 | 4 | 40% | 6 | | 10.000 | 20.000 |
| 10 | 4 | 40% | 5 | | 12.000 | 24.000 |
| 10 | 4 | 40% | 4 | | 15.400 | 30.000 |
| 10 | 4 | 40% | 3 | | 20.000 | 40.000 |
| 10 | 4 | 40% | 2 | | 30.000 | 60.000 |
| 10 | 4 | 40% | 1 | | 60.000 | 120.000 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 7 | 5 | 1% | 9 | | 160.000 | 320.000 |
| 7 | 5 | 1% | 8 | | 180.000 | 360.000 |
| 7 | 5 | 1% | 7 | | 205.714 | 411.429 |
| 7 | 5 | 1% | 6 | | 240.000 | 480.000 |
| 7 | 5 | 1% | 5 | | 288.000 | 576.000 |
| 7 | 5 | 1% | 4 | | 360.000 | 720.000 |
| 7 | 5 | 1% | 3 | | 480.000 | 960.000 |
| 7 | 5 | 1% | 2 | | 720.000 | 1440.000 |
| 7 | 5 | 1% | 1 | | 1440.000 | 2880.000 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 8 | 5 | 3% | 9 | | 53.333 | 106.667 |
| 8 | 5 | 3% | 8 | | 60.000 | 120.000 |
| 8 | 5 | 3% | 7 | | 68.571 | 137.143 |
| 8 | 5 | 3% | 6 | | 80.000 | 160.000 |
| 8 | 5 | 3% | 5 | | 96.000 | 192.000 |
| 8 | 5 | 3% | 4 | | 120.000 | 240.000 |
| 8 | 5 | 3% | 3 | | 160.000 | 320.000 |
| 8 | 5 | 3% | 2 | | 240.000 | 480.000 |
| 8 | 5 | 3% | 1 | | 480.000 | 960.000 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 9 | 5 | 10% | 9 | | 16.000 | 32.000 |
| 9 | 5 | 10% | 8 | | 18.000 | 36.000 |
| 9 | 5 | 10% | 7 | | 20.571 | 41.143 |
| 9 | 5 | 10% | 6 | | 24.000 | 48.000 |
| 9 | 5 | 10% | 5 | | 28.800 | 57.600 |
| 9 | 5 | 10% | 4 | | 36.000 | 72.000 |
| 9 | 5 | 10% | 3 | | 48.000 | 96.000 |
| 9 | 5 | 10% | 2 | | 72.000 | 144.000 |
| 9 | 5 | 10% | 1 | | 144.000 | 288.000 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 10 | 5 | 25% | 9 | | 6.400 | 12.800 |
| 10 | 5 | 25% | 8 | | 7.200 | 14.400 |
| 10 | 5 | 25% | 7 | | 8.229 | 16.457 |
| 10 | 5 | 25% | 6 | | 9.600 | 19.200 |
| 10 | 5 | 25% | 5 | | 11.520 | 23.040 |
| 10 | 5 | 25% | 4 | | 14.400 | 28.800 |
| 10 | 5 | 25% | 3 | | 19.200 | 38.400 |
| 10 | 5 | 25% | 2 | | 28.800 | 57.600 |
| 10 | 5 | 25% | 1 | | 57.600 | 115.200 |

經典高等找1費
| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 7 | 1 | 19% | 22 | | 13.684 | 27.368 |
| 7 | 1 | 19% | 21 | | 14.336 | 28.672 |
| 7 | 1 | 19% | 20 | | 15.053 | 30.105 |
| 7 | 1 | 19% | 19 | | 15.845 | 31.690 |
| 7 | 1 | 19% | 18 | | 16.725 | 33.450 |
| 7 | 1 | 19% | 17 | | 17.709 | 35.418 |
| 7 | 1 | 19% | 16 | | 18.816 | 37.632 |
| 7 | 1 | 19% | 15 | | 20.070 | 40.140 |
| 7 | 1 | 19% | 14 | | 21.504 | 43.008 |
| 7 | 1 | 19% | 13 | | 23.158 | 43.008 |
| 7 | 1 | 19% | 12 | | 25.088 | 50.175 |
| 7 | 1 | 19% | 11 | | 27.368 | 54.737 |
| 7 | 1 | 19% | 10 | | 30.105 | 60.211 |
| 7 | 1 | 19% | 9 | | 33.450 | 66.901 |
| 7 | 1 | 19% | 8 | | 37.632 | 75.263 |
| 7 | 1 | 19% | 7 | | 43.008 | 86.015 |
| 7 | 1 | 19% | 6 | | 50.175 | 100.351 |
| 7 | 1 | 19% | 5 | | 60.211 | 120.421 |
| 7 | 1 | 19% | 4 | | 75.263 | 150.526 |
| 7 | 1 | 19% | 3 | | 100.351 | 200.782 |
| 7 | 1 | 19% | 2 | | 150.526 | 301.053 |
| 7 | 1 | 19% | 1 | | 301.053 | 602.105 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 8 | 1 | 18% | 22 | | 14.444 | 28.889|
| 8 | 1 | 18% | 21 | | 15.132 | 30.265 |
| 8 | 1 | 18% | 20 | | 15.889 | 31.778 |
| 8 | 1 | 18% | 19 | | 16.725 | 33.450 |
| 8 | 1 | 18% | 18 | | 17.654 | 35.309 |
| 8 | 1 | 18% | 17 | | 18.693 | 37.386 |
| 8 | 1 | 18% | 16 | | 19.861 | 39.722 |
| 8 | 1 | 18% | 15 | | 21.185 | 42.370 |
| 8 | 1 | 18% | 14 | | 22.698 | 45.397 |
| 8 | 1 | 18% | 13 | | 24.444 | 48.889 |
| 8 | 1 | 18% | 12 | | 26.481 | 52.963 |
| 8 | 1 | 18% | 11 | | 28.889 | 57.778 |
| 8 | 1 | 18% | 10 | | 31.778 | 63.556 |
| 8 | 1 | 18% | 9 | | 35.309 | 70.617 |
| 8 | 1 | 18% | 8 | | 39.722 | 79.444 |
| 8 | 1 | 18% | 7 | | 45.397 | 90.794 |
| 8 | 1 | 18% | 6 | | 52.963 | 105.926 |
| 8 | 1 | 18% | 5 | | 63.556 | 127.111 |
| 8 | 1 | 18% | 4 | | 79.444 | 158.889 |
| 8 | 1 | 18% | 3 | | 105.926 | 211.852 |
| 8 | 1 | 18% | 2 | | 158.889 | 317.778 |
| 8 | 1 | 18% | 1 | | 317.778 | 635.556 |

| 等級 | 要的卡費用 | 機率 | 牌池剩餘數量 | | 期望次數 | 期望金錢 |
| -------- | -------- | -------- | -------- | -------- | -------- | -------- |
| 9 | 1 | 10% | 22 | | 26.000 | 52.000 |
| 9 | 1 | 10% | 21 | | 27.238 | 54.476 |
| 9 | 1 | 10% | 20 | | 28.600 | 57.200 |
| 9 | 1 | 10% | 19 | | 30.105 | 60.211 |
| 9 | 1 | 10% | 18 | | 31.778 | 63.556 |
| 9 | 1 | 10% | 17 | | 33.647 | 67.294 |
| 9 | 1 | 10% | 16 | | 35.750 | 71.500 |
| 9 | 1 | 10% | 15 | | 38.133 | 76.267 |
| 9 | 1 | 10% | 14 | | 40.857 | 81.714 |
| 9 | 1 | 10% | 13 | | 44.000 | 88.000 |
| 9 | 1 | 10% | 12 | | 47.667 | 95.333 |
| 9 | 1 | 10% | 11 | | 52.000 | 104.000 |
| 9 | 1 | 10% | 10 | | 57.200 | 114.400 |
| 9 | 1 | 10% | 9 | | 63.556 | 127.111 |
| 9 | 1 | 10% | 8 | | 71.500 | 143.000 |
| 9 | 1 | 10% | 7 | | 81.714 | 163.429 |
| 9 | 1 | 10% | 6 | | 95.333 | 190.667 |
| 9 | 1 | 10% | 5 | | 114.400 | 228.800 |
| 9 | 1 | 10% | 4 | | 143.000 | 286.000 |
| 9 | 1 | 10% | 3 | | 190.667 | 381.333 |
| 9 | 1 | 10% | 2 | | 286.000 | 572.000 |
| 9 | 1 | 10% | 1 | | 572.000 | 1144.000 |