所以魚人聖後手要不要留2啦! - 爐石戰記

By Mason
at 2017-04-27T00:42
at 2017-04-27T00:42
Table of Contents
大家好,
我寫了一個小程式來做模擬:
給定一副牌30張,其中有6張1費,6張2費, 5張3費...
起手拿到1張2費,3張高費...
我利用程式大量模擬羅傑或薛喜的作法,
並且分析換牌後發生以下事件的機率:
1: 在第一回合有一張一費
2: 在第一回合有一張二費
12: 在第一回合有一張一費或二費
2+2: 在第一與第二回合可以出兩張二費
1+2: 在第一與第二回合可以依序出一費與二費
2+1: 在第一與第二回合可以依序出二費與一費
2+11: 在第一與第二回合可以依序出二費與兩張一費
1+1: 在第一與第二回合可以依序各出一張一費
1+11: 在第一與第二回合可以依序出一張一費與兩張一費 ps. 排除掉11+1
11+11: 在第一與第二回合可以依序出兩張一費與兩張二費
1+3: 在第一與第二回合可以依序出一張一費與一張三費
1+12: 在第一與第二回合依序打出一張一費與一費+二費
水晶打滿: 在第一與第二回可以打滿水晶(含用掉硬幣的狀況)
都有做事:在第一與第二回合都有事情做
以下回報估計出來的95%信心指數下的真實機率範圍
只看第一回合的狀況:
1 2 1/2
羅傑 .72~.77 .67~.72 .94~.96
薛喜 .62~.69 1~1 1~1
若一起看第一回合與第二回合:
2+2 1+2 2+1 2+11 1+1 1+11 11+11 1+3 1+12
羅傑 .30~.35 .53~.58 .52~.56 .21~.26 .38~.42 .08~.12 .00~.02 .52~.57 .25~.30
薛喜 .64~.70 .63~.68 .72~.77 .28~.32 .28~.32 .04~.07 .00~.01 .38~.43 .28~.32
不意外的是:
在牽涉到2費的機率,薛喜的作法都會高很多
不牽涉到2費的機率,則是羅傑的作法比較高
但是整體來看:
水晶打滿 都有做事
羅傑 .83~.86 .87~.90
薛喜 .90~.94 .93~.96
所以若程式沒錯,我得到的結論:
**薛喜的方式能在前兩回合「打滿水晶」或「都有做事」的機率高過羅傑的方式**
---
我是用R簡單寫模擬程式的,程式碼在: http://ideone.com/MUMJxJ
不過因為做興趣的,就沒有去更精確的計算各種狀況,例如不考慮裸下漁人隊長...
但是程式改一改是可以辦到所有狀況的模擬的
--
我寫了一個小程式來做模擬:
給定一副牌30張,其中有6張1費,6張2費, 5張3費...
起手拿到1張2費,3張高費...
我利用程式大量模擬羅傑或薛喜的作法,
並且分析換牌後發生以下事件的機率:
1: 在第一回合有一張一費
2: 在第一回合有一張二費
12: 在第一回合有一張一費或二費
2+2: 在第一與第二回合可以出兩張二費
1+2: 在第一與第二回合可以依序出一費與二費
2+1: 在第一與第二回合可以依序出二費與一費
2+11: 在第一與第二回合可以依序出二費與兩張一費
1+1: 在第一與第二回合可以依序各出一張一費
1+11: 在第一與第二回合可以依序出一張一費與兩張一費 ps. 排除掉11+1
11+11: 在第一與第二回合可以依序出兩張一費與兩張二費
1+3: 在第一與第二回合可以依序出一張一費與一張三費
1+12: 在第一與第二回合依序打出一張一費與一費+二費
水晶打滿: 在第一與第二回可以打滿水晶(含用掉硬幣的狀況)
都有做事:在第一與第二回合都有事情做
以下回報估計出來的95%信心指數下的真實機率範圍
只看第一回合的狀況:
1 2 1/2
羅傑 .72~.77 .67~.72 .94~.96
薛喜 .62~.69 1~1 1~1
若一起看第一回合與第二回合:
2+2 1+2 2+1 2+11 1+1 1+11 11+11 1+3 1+12
羅傑 .30~.35 .53~.58 .52~.56 .21~.26 .38~.42 .08~.12 .00~.02 .52~.57 .25~.30
薛喜 .64~.70 .63~.68 .72~.77 .28~.32 .28~.32 .04~.07 .00~.01 .38~.43 .28~.32
不意外的是:
在牽涉到2費的機率,薛喜的作法都會高很多
不牽涉到2費的機率,則是羅傑的作法比較高
但是整體來看:
水晶打滿 都有做事
羅傑 .83~.86 .87~.90
薛喜 .90~.94 .93~.96
所以若程式沒錯,我得到的結論:
**薛喜的方式能在前兩回合「打滿水晶」或「都有做事」的機率高過羅傑的方式**
---
我是用R簡單寫模擬程式的,程式碼在: http://ideone.com/MUMJxJ
不過因為做興趣的,就沒有去更精確的計算各種狀況,例如不考慮裸下漁人隊長...
但是程式改一改是可以辦到所有狀況的模擬的
--
Tags:
爐石
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