[心得] 雷電颶風 每秒顆數期望值
先舉個簡單的例子給大家參考,雷電颶風產生的數量期望值到底該如何計算?
例1: 攻速1 爆率0.5 傷害200
每秒可以出一拳,每拳爆擊機率50%,故每秒可產生1x0.5小旋風
每個小旋風傷害200, 故DPS(每秒傷害)=1x0.5x200=100
例2: 攻速2 爆率0.4 傷害120
每秒可以出二拳,每拳爆擊機率40%,故每秒可產生2x0.4小旋風
每個小旋風傷害120, 故DPS(每秒傷害)=2x0.4x120=96
進入主題,由奔雷拳-雷霆一擊所觸發的雷電颶風數量期望值該如何計算?
<奔雷拳-雷霆一擊 特性>
1.奔雷拳自帶50%攻速
當面板攻速為1時,1秒可揮出1.5拳=0.5套奔雷拳
當面板攻速為1.5時,1秒可揮出2.25拳=0.75套奔雷拳
當面版攻速為2時,1秒可揮出3拳=1套奔雷拳
2.雷霆一擊proc為0.75
前2拳各有2段判定110%跟35%(一拳可能同時出2個小旋風,也可能0或1個)
第3拳只有1段判定145%傷害
所以使用奔雷拳-雷霆一擊完整1套3拳共有5下判定
第3拳最簡單先說明,由於proc只有0.75,意及假設你人物爆率有50%
實際上能觸發爆率的機率只有0.75X0.5=0.375, 37.5%
前2拳複雜一點。由於一拳有2段判定,各自有37.5%,所以爆率計算上為
1-(1-75%x50%)x(1-75%x50%)=60.94%, <= 至少一段有爆的期望值
0.375+0.375=0.75 <= 正常的期望值 (感謝Terryys版友指正)
雷霆一擊的運作方式是
1 hit -> 2 hit -> 3hit -> 1 hit -> 2 hit -> 3hit
60.94% -> 60.94% -> 37.5%-> 60.94% -> 60.94% -> 37.5%
雷霆一擊平均每拳的爆率為 (0.6094+0.6094+0.375)/3=0.53, 53%
(0.75+0.75+0.375)/3=0.625 62.5%
到這裡結論已經出來了
假設你機體面板攻速為2.3, 爆率50%, 使用雷霆一擊,每秒雷電颶風數量期望值為
2.3 x 1.5 x 0.625= 2.16 顆
由於雷霆一擊的特性,高攻速(自帶50%),高爆率(人物面板50%實際有62.5%)
小範圍判定,才會被武僧廣泛使用,擊退+短距離傳送更是錦上添花
P.S:小範圍判定,一次可擊中怪n>1,效率更為驚人...
只要有雷霆一擊在,其他精氣產生技就只能繼續被忽略了...
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 219.85.232.80
推
03/22 10:50, , 1F
03/22 10:50, 1F
※ 編輯: caine22 來自: 219.85.232.80 (03/22 10:55)
推
03/22 10:53, , 2F
03/22 10:53, 2F
推
03/22 10:56, , 3F
03/22 10:56, 3F
※ 編輯: caine22 來自: 219.85.232.80 (03/22 10:59)
※ 編輯: caine22 來自: 219.85.232.80 (03/22 10:59)
推
03/22 11:07, , 4F
03/22 11:07, 4F
→
03/22 11:10, , 5F
03/22 11:10, 5F
推
03/22 11:12, , 6F
03/22 11:12, 6F
推
03/22 11:16, , 7F
03/22 11:16, 7F
推
03/22 11:16, , 8F
03/22 11:16, 8F
推
03/22 11:16, , 9F
03/22 11:16, 9F
→
03/22 11:16, , 10F
03/22 11:16, 10F
→
03/22 11:16, , 11F
03/22 11:16, 11F
推
03/22 11:17, , 12F
03/22 11:17, 12F
推
03/22 11:19, , 13F
03/22 11:19, 13F
推
03/22 11:19, , 14F
03/22 11:19, 14F
推
03/22 11:20, , 15F
03/22 11:20, 15F
→
03/22 11:21, , 16F
03/22 11:21, 16F
推
03/22 11:21, , 17F
03/22 11:21, 17F
→
03/22 11:21, , 18F
03/22 11:21, 18F
推
03/22 11:21, , 19F
03/22 11:21, 19F
推
03/22 11:22, , 20F
03/22 11:22, 20F
→
03/22 11:26, , 21F
03/22 11:26, 21F
推
03/22 11:26, , 22F
03/22 11:26, 22F
→
03/22 11:27, , 23F
03/22 11:27, 23F
→
03/22 11:28, , 24F
03/22 11:28, 24F
→
03/22 11:28, , 25F
03/22 11:28, 25F
推
03/22 11:30, , 26F
03/22 11:30, 26F
→
03/22 11:30, , 27F
03/22 11:30, 27F
推
03/22 11:31, , 28F
03/22 11:31, 28F
→
03/22 11:32, , 29F
03/22 11:32, 29F
推
03/22 11:33, , 30F
03/22 11:33, 30F
→
03/22 11:34, , 31F
03/22 11:34, 31F
→
03/22 11:35, , 32F
03/22 11:35, 32F
推
03/22 11:35, , 33F
03/22 11:35, 33F
→
03/22 11:36, , 34F
03/22 11:36, 34F
※ 編輯: caine22 來自: 219.85.232.80 (03/22 11:41)
推
03/22 11:38, , 35F
03/22 11:38, 35F
推
03/22 11:38, , 36F
03/22 11:38, 36F
還有 42 則推文
還有 1 段內文
→
03/22 13:04, , 79F
03/22 13:04, 79F
→
03/22 13:04, , 80F
03/22 13:04, 80F
→
03/22 13:05, , 81F
03/22 13:05, 81F
→
03/22 13:06, , 82F
03/22 13:06, 82F
→
03/22 13:07, , 83F
03/22 13:07, 83F
推
03/22 13:07, , 84F
03/22 13:07, 84F
→
03/22 13:08, , 85F
03/22 13:08, 85F
→
03/22 13:08, , 86F
03/22 13:08, 86F
→
03/22 13:08, , 87F
03/22 13:08, 87F
→
03/22 13:10, , 88F
03/22 13:10, 88F
→
03/22 13:10, , 89F
03/22 13:10, 89F
→
03/22 13:16, , 90F
03/22 13:16, 90F
→
03/22 13:18, , 91F
03/22 13:18, 91F
→
03/22 13:23, , 92F
03/22 13:23, 92F
→
03/22 13:23, , 93F
03/22 13:23, 93F
推
03/22 13:25, , 94F
03/22 13:25, 94F
→
03/22 13:27, , 95F
03/22 13:27, 95F
→
03/22 13:30, , 96F
03/22 13:30, 96F
推
03/22 13:36, , 97F
03/22 13:36, 97F
推
03/22 13:40, , 98F
03/22 13:40, 98F
→
03/22 13:41, , 99F
03/22 13:41, 99F
推
03/22 13:56, , 100F
03/22 13:56, 100F
→
03/22 14:00, , 101F
03/22 14:00, 101F
→
03/22 14:01, , 102F
03/22 14:01, 102F
→
03/22 14:05, , 103F
03/22 14:05, 103F
推
03/22 14:10, , 104F
03/22 14:10, 104F
推
03/22 14:12, , 105F
03/22 14:12, 105F
→
03/22 14:12, , 106F
03/22 14:12, 106F
推
03/22 14:17, , 107F
03/22 14:17, 107F
推
03/22 14:33, , 108F
03/22 14:33, 108F
推
03/22 14:36, , 109F
03/22 14:36, 109F
推
03/22 15:09, , 110F
03/22 15:09, 110F
→
03/22 15:16, , 111F
03/22 15:16, 111F
→
03/22 15:17, , 112F
03/22 15:17, 112F
推
03/22 17:09, , 113F
03/22 17:09, 113F
推
03/22 17:26, , 114F
03/22 17:26, 114F
→
03/22 17:27, , 115F
03/22 17:27, 115F
→
03/22 17:28, , 116F
03/22 17:28, 116F
推
03/22 18:28, , 117F
03/22 18:28, 117F
推
03/22 22:21, , 118F
03/22 22:21, 118F