Re: [閒聊] 齊力是不是太過分了
看板Hearthstone (爐石戰記)作者notsmall (NotSmall)時間8年前 (2017/09/21 12:36)推噓7(7推 0噓 43→)留言50則, 10人參與討論串9/10 (看更多)
※ 引述《wen17 (祭祀風的人類)》之銘言:
: 即使你有高的可能輸 比方說99% 但是如果你判斷你會輸這個舉動精準沒有更相對的高
:
: 那結果會是許多(很可能過半)判斷輸了所以投降的局是沒有一定輸的
:
所以論點是除非100趴確定自己輸了不然不要投
那只要機率不要是零(對面場攻高過自己血量)當然就不該投
爭取最後對手手滑的微小機率也是運動家精神
但是都提到了就驗證算一下條件機率:
即使99趴會輸,投降但可能會贏是不是很高(甚至過半)
套你貼的連結算法:
已知A為城市中有99趴的市民有心肌梗塞(輸)的機率
而B為選手「判斷自己輸了」的正確率就算50趴好了,
當上選手至少跟硬幣一樣強吧
而要贏的場覺得要輸了所以投降的誤判率就算1趴好了
選手判定輸而且真的會輸的機率為
P(A|B) = P(AB交集) / [ P(AB交集) + P(A'B交集) ]
= (0.99 * 0.5)/[ (0.99*0.5) + (0.01*0.01) ] =0.99
所以在99趴會輸的前提下,判定輸了通常就是真的會輸。
當然爐石的先驗機率A沒那麼簡單就算出,
不過個人覺得你的推論也是有錯的
哪裡理解錯誤歡迎指教
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