Re: [心得] 爆擊期望值簡易算法
關於上一篇有一個地方取錯了 我在推文中也有說明 不過我再說一次好了
算式
武器攻擊力+武器攻擊力*1.5(爆擊傷害)*0.03(爆擊機率)
正確的算式應該將1.5改為0.5 這樣才是"因為爆擊所增加傷害"的期望值
而下面有人說雙倍連擊與爆擊可同時發動所以傷害應該不只是通通加在一起
我打到這才發現我剛剛回推文時似乎誤會了
總之 我們認真的算一下吧
我們取個簡單的數字
傷害100就好
爆擊3%的期望值
100+100*0.5*0.03=101.5
雙倍連擊的期望值
100+100*1*0.06=106
那麼考慮同時發動的情況
如果只是單純的把"增加的傷害"的數字加上去
那麼就是
100+100*0.5*0.03+100*1*0.06=107.5
然後 我不太記得要怎麼列算式了 所以我們就用最土法煉鋼的方式吧
直接算算看到底怎麼樣
同時發動的機率0.06*0.03=0.0018
也就是1萬次裡有18會兩個一起發動
接著怎麼辦?
當然就是算一萬次攻擊再除1萬了
1萬次裡有300次暴擊
600次雙倍連擊
18次同時發動
然後同時發動的次數涵蓋了爆擊及雙倍連擊
所以是 18次同時發動
282次爆擊
582次雙倍連擊
9118次普通傷害
(9118*100+582*200+282*150+18*300)/10000=107.59
嗯 真的比直接加起來高耶
然後要是我們很懶的直接把傷害期望值的比例(%) 101.5%*106%.....=107.59%(更正筆誤)
這故事告訴我 我在上面說了一整串廢話
我發現 我根本是在複習高中數學......
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◆ From: 120.127.36.204
※ 編輯: sam1234580 來自: 120.127.36.204 (04/20 23:56)
※ 編輯: sam1234580 來自: 120.127.36.204 (04/20 23:58)
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※ 編輯: sam1234580 來自: 120.127.36.204 (04/21 00:33)
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※ 編輯: sam1234580 來自: 120.127.36.204 (04/21 12:50)
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