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[607] ダイヤ強化の分布
日時: 2004/10/22 23:25
名前: 数学屋 ID:

ダイヤ強化の期待値は、過去で議論されてきましたが
http://ecforum.jpn.org/talkbbs/pbbs.cgi?mode=past&no=318

今回は、たとえばダイヤを100個入れたとして、100人中何人が+15になるか?
といった観点から考えてみたいと思います。

…いい加減に数値計算を行った結果、というだけですが

過去ログでうろたんさんが書かれた結果と同じような形式の表にしています。
カンマ区切りで、左から
ダイヤを入れた個数、+0の確率(%)、+1の確率(%)、…、+15の確率(%)です。

例えば、100のところを読むと
100,0.0,0.0,0.0,7.5,7.4,7.2,6.8,6.3,5.8,5.1,4.4,3.6,2.8,1.9,0.9,40.2
こうなっています。
+0の確率 : 0.0%
+1の確率 : 0.0%
+2の確率 : 0.0%
+3の確率 : 7.5%
+4の確率 : 7.4%
+5の確率 : 7.2%
:
+14の確率 : 0.9%
+15の確率 : 40.2%
と読み取るわけです。
この結果から、100個いれるまでに4割くらいの人は+15になっていますが、
2割くらいの人は +5以下という恐ろしい結果が得られています。
運不運に大きく左右されるダイヤ強化の面目躍如といったところでしょうか…

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Re: ダイヤ強化の分布 ( No.1 )
日時: 2004/10/22 23:48
名前: 数学屋 ID:

次から実際のデータです。
その前に、今回の計算には C の double 型を使いました。
誤差計算はやっていませんが、じわじわ誤差が増幅しているはずなので、
100,200,300となるにつれて誤差が増えています。
ご注意ください。

なお、+0の状態から始めています。ゆえに1個目のところは
+1が100%になっているわけです。
Re: ダイヤ強化の分布 ( No.2 )
日時: 2004/10/22 23:32
名前: 数学屋 ID:

0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0
1,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0
2,0.0,50.0,50.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0
3,0.0,25.0,50.0,25.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0
4,0.0,12.5,37.5,37.5,12.5,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0
5,0.0,6.2,25.0,43.8,18.8,6.2,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0
6,0.0,3.1,15.6,43.8,25.0,9.4,3.1,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0
7,0.0,1.6,9.4,42.2,26.6,14.1,4.7,1.6,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0
8,0.0,0.8,5.5,39.1,28.1,15.6,7.8,2.3,0.8,0.0,0.0,0.0,0.0,0.0,0.0,0.0
9,0.0,0.4,3.1,36.3,27.3,18.0,9.0,4.3,1.2,0.4,0.0,0.0,0.0,0.0,0.0,0.0
10,0.0,0.2,1.8,33.4,27.1,18.2,11.1,5.1,2.3,0.6,0.2,0.0,0.0,0.0,0.0,0.0
11,0.0,0.1,1.0,31.2,25.8,19.1,11.6,6.7,2.8,1.3,0.3,0.1,0.0,0.0,0.0,0.0
12,0.0,0.0,0.5,29.0,25.1,18.7,12.9,7.2,4.0,1.6,0.7,0.1,0.0,0.0,0.0,0.0
13,0.0,0.0,0.3,27.3,23.8,19.0,13.0,8.5,4.4,2.3,0.9,0.4,0.1,0.0,0.0,0.0
14,0.0,0.0,0.2,25.7,23.2,18.4,13.8,8.7,5.4,2.6,1.4,0.5,0.2,0.0,0.0,0.0
15,0.0,0.0,0.1,24.5,22.1,18.5,13.5,9.6,5.7,3.4,1.5,0.8,0.3,0.1,0.0,0.0
16,0.0,0.0,0.0,23.3,21.5,17.8,14.0,9.6,6.5,3.6,2.1,0.9,0.4,0.1,0.1,0.0
17,0.0,0.0,0.0,22.4,20.6,17.8,13.7,10.3,6.6,4.3,2.2,1.3,0.5,0.2,0.1,0.0
18,0.0,0.0,0.0,21.5,20.1,17.1,14.0,10.1,7.3,4.4,2.8,1.4,0.8,0.3,0.1,0.1
19,0.0,0.0,0.0,20.8,19.3,17.1,13.6,10.6,7.3,5.0,2.9,1.8,0.8,0.4,0.1,0.1
20,0.0,0.0,0.0,20.1,18.9,16.5,13.8,10.5,7.8,5.1,3.4,1.9,1.1,0.5,0.2,0.2
Re: ダイヤ強化の分布 ( No.3 )
日時: 2004/10/22 23:34
名前: 数学屋 ID:

21,0.0,0.0,0.0,19.5,18.3,16.4,13.5,10.8,7.8,5.6,3.5,2.2,1.2,0.7,0.2,0.3
22,0.0,0.0,0.0,18.9,17.9,15.9,13.6,10.6,8.2,5.6,3.9,2.3,1.5,0.7,0.3,0.4
23,0.0,0.0,0.0,18.4,17.4,15.8,13.2,10.9,8.1,6.1,4.0,2.7,1.5,0.9,0.4,0.6
24,0.0,0.0,0.0,17.9,17.1,15.3,13.3,10.7,8.5,6.1,4.4,2.8,1.8,0.9,0.4,0.8
25,0.0,0.0,0.0,17.5,16.6,15.2,13.0,10.9,8.4,6.4,4.4,3.1,1.8,1.1,0.5,1.0
26,0.0,0.0,0.0,17.1,16.4,14.8,13.1,10.7,8.7,6.4,4.8,3.1,2.1,1.2,0.6,1.2
27,0.0,0.0,0.0,16.7,15.9,14.7,12.7,10.9,8.5,6.7,4.8,3.4,2.1,1.3,0.6,1.5
28,0.0,0.0,0.0,16.3,15.7,14.3,12.8,10.6,8.8,6.6,5.1,3.4,2.4,1.4,0.7,1.8
29,0.0,0.0,0.0,16.0,15.3,14.3,12.5,10.8,8.6,6.9,5.0,3.7,2.4,1.5,0.7,2.1
30,0.0,0.0,0.0,15.7,15.1,13.9,12.5,10.6,8.9,6.8,5.3,3.7,2.6,1.5,0.8,2.5
31,0.0,0.0,0.0,15.4,14.8,13.8,12.2,10.7,8.7,7.1,5.3,4.0,2.6,1.7,0.8,2.9
32,0.0,0.0,0.0,15.1,14.6,13.5,12.3,10.5,8.9,7.0,5.5,4.0,2.8,1.7,0.8,3.2
33,0.0,0.0,0.0,14.9,14.3,13.4,12.0,10.6,8.7,7.2,5.5,4.2,2.8,1.8,0.9,3.7
34,0.0,0.0,0.0,14.6,14.2,13.2,12.0,10.4,8.9,7.1,5.7,4.2,3.0,1.8,0.9,4.1
35,0.0,0.0,0.0,14.4,13.9,13.1,11.8,10.5,8.7,7.3,5.6,4.4,3.0,2.0,0.9,4.6
36,0.0,0.0,0.0,14.1,13.7,12.8,11.8,10.2,8.9,7.2,5.8,4.3,3.2,2.0,1.0,5.0
37,0.0,0.0,0.0,13.9,13.5,12.7,11.5,10.3,8.7,7.4,5.7,4.5,3.1,2.1,1.0,5.5
38,0.0,0.0,0.0,13.7,13.3,12.5,11.5,10.1,8.8,7.2,5.9,4.4,3.3,2.1,1.0,6.0
39,0.0,0.0,0.0,13.5,13.1,12.4,11.3,10.2,8.7,7.4,5.8,4.6,3.3,2.2,1.0,6.5
40,0.0,0.0,0.0,13.3,13.0,12.2,11.3,10.0,8.8,7.3,6.0,4.5,3.4,2.1,1.1,7.0
Re: ダイヤ強化の分布 ( No.4 )
日時: 2004/10/22 23:37
名前: 数学屋 ID:

41,0.0,0.0,0.0,13.1,12.8,12.1,11.1,10.0,8.6,7.4,5.9,4.7,3.3,2.2,1.1,7.6
42,0.0,0.0,0.0,12.9,12.6,11.9,11.1,9.9,8.7,7.3,6.0,4.6,3.5,2.2,1.1,8.1
43,0.0,0.0,0.0,12.8,12.4,11.9,10.9,9.9,8.6,7.4,5.9,4.8,3.4,2.3,1.1,8.7
44,0.0,0.0,0.0,12.6,12.3,11.7,10.9,9.7,8.6,7.3,6.1,4.7,3.5,2.3,1.1,9.2
45,0.0,0.0,0.0,12.5,12.1,11.6,10.7,9.8,8.5,7.4,6.0,4.8,3.5,2.3,1.1,9.8
46,0.0,0.0,0.0,12.3,12.0,11.4,10.7,9.6,8.6,7.2,6.1,4.7,3.6,2.3,1.2,10.4
47,0.0,0.0,0.0,12.2,11.9,11.4,10.5,9.6,8.4,7.3,6.0,4.8,3.5,2.4,1.1,10.9
48,0.0,0.0,0.0,12.0,11.8,11.2,10.5,9.5,8.5,7.2,6.1,4.7,3.6,2.3,1.2,11.5
49,0.0,0.0,0.0,11.9,11.6,11.1,10.3,9.5,8.3,7.3,6.0,4.8,3.5,2.4,1.2,12.1
50,0.0,0.0,0.0,11.7,11.5,11.0,10.3,9.3,8.4,7.1,6.0,4.7,3.6,2.3,1.2,12.7
51,0.0,0.0,0.0,11.6,11.4,10.9,10.1,9.3,8.2,7.2,5.9,4.8,3.5,2.4,1.2,13.3
52,0.0,0.0,0.0,11.5,11.3,10.7,10.1,9.2,8.3,7.1,6.0,4.7,3.6,2.4,1.2,13.9
53,0.0,0.0,0.0,11.4,11.1,10.7,10.0,9.2,8.1,7.1,5.9,4.8,3.6,2.4,1.2,14.5
54,0.0,0.0,0.0,11.2,11.0,10.5,9.9,9.1,8.2,7.0,6.0,4.7,3.6,2.4,1.2,15.1
55,0.0,0.0,0.0,11.1,10.9,10.5,9.8,9.1,8.0,7.1,5.9,4.8,3.6,2.4,1.2,15.7
56,0.0,0.0,0.0,11.0,10.8,10.3,9.8,8.9,8.1,7.0,5.9,4.7,3.6,2.4,1.2,16.3
57,0.0,0.0,0.0,10.9,10.7,10.3,9.6,8.9,7.9,7.0,5.8,4.8,3.5,2.4,1.2,16.9
58,0.0,0.0,0.0,10.8,10.6,10.2,9.6,8.8,8.0,6.9,5.9,4.7,3.6,2.4,1.2,17.4
59,0.0,0.0,0.0,10.7,10.5,10.1,9.5,8.8,7.8,6.9,5.8,4.7,3.5,2.4,1.2,18.0
60,0.0,0.0,0.0,10.6,10.4,10.0,9.4,8.7,7.9,6.8,5.8,4.7,3.6,2.4,1.2,18.6
Re: ダイヤ強化の分布 ( No.5 )
日時: 2004/10/22 23:39
名前: 数学屋 ID:

61,0.0,0.0,0.0,10.5,10.3,9.9,9.3,8.7,7.7,6.8,5.7,4.7,3.5,2.4,1.2,19.2
62,0.0,0.0,0.0,10.4,10.2,9.8,9.3,8.5,7.7,6.7,5.8,4.6,3.5,2.3,1.2,19.8
63,0.0,0.0,0.0,10.3,10.1,9.8,9.2,8.5,7.6,6.8,5.7,4.7,3.5,2.4,1.2,20.4
64,0.0,0.0,0.0,10.2,10.0,9.6,9.1,8.4,7.6,6.7,5.7,4.6,3.5,2.3,1.2,21.0
65,0.0,0.0,0.0,10.1,9.9,9.6,9.0,8.4,7.5,6.7,5.6,4.6,3.5,2.3,1.2,21.6
66,0.0,0.0,0.0,10.0,9.8,9.5,9.0,8.3,7.5,6.6,5.6,4.5,3.5,2.3,1.2,22.2
67,0.0,0.0,0.0,9.9,9.7,9.4,8.9,8.3,7.4,6.6,5.6,4.6,3.4,2.3,1.2,22.8
68,0.0,0.0,0.0,9.8,9.7,9.3,8.8,8.1,7.4,6.5,5.6,4.5,3.4,2.3,1.2,23.3
69,0.0,0.0,0.0,9.8,9.6,9.3,8.7,8.1,7.3,6.5,5.5,4.5,3.4,2.3,1.1,23.9
70,0.0,0.0,0.0,9.7,9.5,9.1,8.7,8.0,7.3,6.4,5.5,4.4,3.4,2.3,1.2,24.5
71,0.0,0.0,0.0,9.6,9.4,9.1,8.6,8.0,7.2,6.4,5.4,4.5,3.4,2.3,1.1,25.1
72,0.0,0.0,0.0,9.5,9.3,9.0,8.6,7.9,7.2,6.3,5.4,4.4,3.4,2.2,1.1,25.6
73,0.0,0.0,0.0,9.4,9.2,8.9,8.4,7.9,7.1,6.3,5.4,4.4,3.3,2.3,1.1,26.2
74,0.0,0.0,0.0,9.3,9.2,8.8,8.4,7.8,7.1,6.2,5.4,4.3,3.3,2.2,1.1,26.8
75,0.0,0.0,0.0,9.3,9.1,8.8,8.3,7.8,7.0,6.2,5.3,4.3,3.3,2.2,1.1,27.3
76,0.0,0.0,0.0,9.2,9.0,8.7,8.3,7.7,7.0,6.1,5.3,4.3,3.3,2.2,1.1,27.9
77,0.0,0.0,0.0,9.1,8.9,8.7,8.2,7.6,6.9,6.1,5.2,4.3,3.2,2.2,1.1,28.4
78,0.0,0.0,0.0,9.0,8.9,8.6,8.1,7.5,6.9,6.1,5.2,4.2,3.2,2.2,1.1,29.0
79,0.0,0.0,0.0,8.9,8.8,8.5,8.0,7.5,6.8,6.0,5.1,4.2,3.2,2.2,1.1,29.5
80,0.0,0.0,0.0,8.9,8.7,8.4,8.0,7.4,6.8,6.0,5.1,4.2,3.2,2.1,1.1,30.1
Re: ダイヤ強化の分布 ( No.6 )
日時: 2004/10/22 23:41
名前: 数学屋 ID:

81,0.0,0.0,0.0,8.8,8.6,8.4,7.9,7.4,6.7,6.0,5.1,4.2,3.2,2.1,1.1,30.6
82,0.0,0.0,0.0,8.7,8.6,8.3,7.9,7.3,6.7,5.9,5.1,4.1,3.2,2.1,1.1,31.2
83,0.0,0.0,0.0,8.7,8.5,8.2,7.8,7.3,6.6,5.9,5.0,4.1,3.1,2.1,1.1,31.7
84,0.0,0.0,0.0,8.6,8.4,8.1,7.8,7.2,6.6,5.8,5.0,4.1,3.1,2.1,1.1,32.2
85,0.0,0.0,0.0,8.5,8.4,8.1,7.7,7.2,6.5,5.8,4.9,4.1,3.1,2.1,1.0,32.8
86,0.0,0.0,0.0,8.4,8.3,8.0,7.6,7.1,6.5,5.7,4.9,4.0,3.1,2.1,1.0,33.3
87,0.0,0.0,0.0,8.4,8.2,8.0,7.5,7.1,6.4,5.7,4.9,4.0,3.0,2.1,1.0,33.8
88,0.0,0.0,0.0,8.3,8.2,7.9,7.5,7.0,6.4,5.6,4.8,3.9,3.0,2.0,1.0,34.3
89,0.0,0.0,0.0,8.2,8.1,7.8,7.4,6.9,6.3,5.6,4.8,3.9,3.0,2.0,1.0,34.8
90,0.0,0.0,0.0,8.2,8.0,7.8,7.4,6.9,6.3,5.5,4.8,3.9,3.0,2.0,1.0,35.3
91,0.0,0.0,0.0,8.1,8.0,7.7,7.3,6.8,6.2,5.5,4.7,3.9,2.9,2.0,1.0,35.8
92,0.0,0.0,0.0,8.0,7.9,7.6,7.3,6.8,6.2,5.5,4.7,3.8,2.9,2.0,1.0,36.3
93,0.0,0.0,0.0,8.0,7.8,7.6,7.2,6.7,6.1,5.4,4.6,3.8,2.9,2.0,1.0,36.8
94,0.0,0.0,0.0,7.9,7.8,7.5,7.2,6.7,6.1,5.4,4.6,3.8,2.9,1.9,1.0,37.3
95,0.0,0.0,0.0,7.8,7.7,7.5,7.1,6.6,6.0,5.4,4.6,3.8,2.9,1.9,1.0,37.8
96,0.0,0.0,0.0,7.8,7.7,7.4,7.0,6.5,6.0,5.3,4.6,3.7,2.8,1.9,1.0,38.3
97,0.0,0.0,0.0,7.7,7.6,7.3,7.0,6.5,5.9,5.3,4.5,3.7,2.8,1.9,1.0,38.8
98,0.0,0.0,0.0,7.6,7.5,7.3,6.9,6.4,5.9,5.2,4.5,3.7,2.8,1.9,1.0,39.3
99,0.0,0.0,0.0,7.6,7.5,7.2,6.9,6.4,5.8,5.2,4.4,3.6,2.8,1.9,0.9,39.7
100,0.0,0.0,0.0,7.5,7.4,7.2,6.8,6.3,5.8,5.1,4.4,3.6,2.8,1.9,0.9,40.2
Re: ダイヤ強化の分布 ( No.7 )
日時: 2004/10/22 23:44
名前: 数学屋 ID:

110,0.0,0.0,0.0,6.9,6.8,6.6,6.3,5.9,5.4,4.7,4.1,3.3,2.6,1.7,0.9,44.7
120,0.0,0.0,0.0,6.4,6.3,6.1,5.8,5.4,5.0,4.4,3.8,3.1,2.4,1.6,0.8,48.9
130,0.0,0.0,0.0,5.9,5.8,5.6,5.4,5.0,4.6,4.1,3.5,2.9,2.2,1.5,0.7,52.8
140,0.0,0.0,0.0,5.5,5.4,5.2,5.0,4.6,4.2,3.8,3.2,2.6,2.0,1.4,0.7,56.4
150,0.0,0.0,0.0,5.1,5.0,4.8,4.6,4.3,3.9,3.5,3.0,2.4,1.9,1.3,0.6,59.7
160,0.0,0.0,0.0,4.7,4.6,4.5,4.2,4.0,3.6,3.2,2.8,2.3,1.7,1.2,0.6,62.8
170,0.0,0.0,0.0,4.3,4.2,4.1,3.9,3.7,3.3,3.0,2.5,2.1,1.6,1.1,0.5,65.6
180,0.0,0.0,0.0,4.0,3.9,3.8,3.6,3.4,3.1,2.7,2.3,1.9,1.5,1.0,0.5,68.2
190,0.0,0.0,0.0,3.7,3.6,3.5,3.3,3.1,2.8,2.5,2.2,1.8,1.4,0.9,0.5,70.7
200,0.0,0.0,0.0,3.4,3.4,3.2,3.1,2.9,2.6,2.3,2.0,1.6,1.3,0.8,0.4,72.9
210,0.0,0.0,0.0,3.1,3.1,3.0,2.9,2.7,2.4,2.2,1.9,1.5,1.2,0.8,0.4,75.0
220,0.0,0.0,0.0,2.9,2.9,2.8,2.6,2.5,2.2,2.0,1.7,1.4,1.1,0.7,0.4,76.9
230,0.0,0.0,0.0,2.7,2.6,2.6,2.4,2.3,2.1,1.8,1.6,1.3,1.0,0.7,0.3,78.6
240,0.0,0.0,0.0,2.5,2.4,2.4,2.2,2.1,1.9,1.7,1.5,1.2,0.9,0.6,0.3,80.2
250,0.0,0.0,0.0,2.3,2.3,2.2,2.1,1.9,1.8,1.6,1.3,1.1,0.8,0.6,0.3,81.8
260,0.0,0.0,0.0,2.1,2.1,2.0,1.9,1.8,1.6,1.5,1.2,1.0,0.8,0.5,0.3,83.1
270,0.0,0.0,0.0,2.0,1.9,1.9,1.8,1.7,1.5,1.3,1.2,0.9,0.7,0.5,0.2,84.4
280,0.0,0.0,0.0,1.8,1.8,1.7,1.6,1.5,1.4,1.2,1.1,0.9,0.7,0.5,0.2,85.6
290,0.0,0.0,0.0,1.7,1.6,1.6,1.5,1.4,1.3,1.1,1.0,0.8,0.6,0.4,0.2,86.7
300,0.0,0.0,0.0,1.5,1.5,1.5,1.4,1.3,1.2,1.1,0.9,0.7,0.6,0.4,0.2,87.7
Re: ダイヤ強化の分布 ( No.8 )
日時: 2004/10/22 23:47
名前: 数学屋 ID:

310,0.0,0.0,0.0,1.4,1.4,1.4,1.3,1.2,1.1,1.0,0.8,0.7,0.5,0.4,0.2,88.7
320,0.0,0.0,0.0,1.3,1.3,1.3,1.2,1.1,1.0,0.9,0.8,0.6,0.5,0.3,0.2,89.5
330,0.0,0.0,0.0,1.2,1.2,1.2,1.1,1.0,0.9,0.8,0.7,0.6,0.4,0.3,0.2,90.3
340,0.0,0.0,0.0,1.1,1.1,1.1,1.0,1.0,0.9,0.8,0.7,0.5,0.4,0.3,0.1,91.1
350,0.0,0.0,0.0,1.0,1.0,1.0,0.9,0.9,0.8,0.7,0.6,0.5,0.4,0.3,0.1,91.7
360,0.0,0.0,0.0,1.0,0.9,0.9,0.9,0.8,0.7,0.7,0.6,0.5,0.4,0.2,0.1,92.4
370,0.0,0.0,0.0,0.9,0.9,0.8,0.8,0.7,0.7,0.6,0.5,0.4,0.3,0.2,0.1,92.9
380,0.0,0.0,0.0,0.8,0.8,0.8,0.7,0.7,0.6,0.6,0.5,0.4,0.3,0.2,0.1,93.5
390,0.0,0.0,0.0,0.8,0.7,0.7,0.7,0.6,0.6,0.5,0.4,0.4,0.3,0.2,0.1,94.0
400,0.0,0.0,0.0,0.7,0.7,0.7,0.6,0.6,0.5,0.5,0.4,0.3,0.3,0.2,0.1,94.4
410,0.0,0.0,0.0,0.6,0.6,0.6,0.6,0.5,0.5,0.4,0.4,0.3,0.2,0.2,0.1,94.9
420,0.0,0.0,0.0,0.6,0.6,0.6,0.5,0.5,0.5,0.4,0.4,0.3,0.2,0.1,0.1,95.2
430,0.0,0.0,0.0,0.6,0.5,0.5,0.5,0.5,0.4,0.4,0.3,0.3,0.2,0.1,0.1,95.6
440,0.0,0.0,0.0,0.5,0.5,0.5,0.5,0.4,0.4,0.3,0.3,0.2,0.2,0.1,0.1,95.9
450,0.0,0.0,0.0,0.5,0.5,0.4,0.4,0.4,0.4,0.3,0.3,0.2,0.2,0.1,0.1,96.3
460,0.0,0.0,0.0,0.4,0.4,0.4,0.4,0.4,0.3,0.3,0.3,0.2,0.2,0.1,0.1,96.5
470,0.0,0.0,0.0,0.4,0.4,0.4,0.4,0.3,0.3,0.3,0.2,0.2,0.1,0.1,0.1,96.8
480,0.0,0.0,0.0,0.4,0.4,0.4,0.3,0.3,0.3,0.3,0.2,0.2,0.1,0.1,0.0,97.0
490,0.0,0.0,0.0,0.3,0.3,0.3,0.3,0.3,0.3,0.2,0.2,0.2,0.1,0.1,0.0,97.3
500,0.0,0.0,0.0,0.3,0.3,0.3,0.3,0.3,0.2,0.2,0.2,0.2,0.1,0.1,0.0,97.5
Re: ダイヤ強化の分布 ( No.9 )
日時: 2004/10/22 23:59
名前: 数学屋 ID:

さて、100個より先は10個おきにしましたが大雑把に見てみると

46個 - 1割の人が +15 になっています。かなり運がいい部類ですね。
63個 - 2割の人は +15 を達成しています。
123個 - ここが中央点です。5割の人はここまでに +15 になっています。
161個 - これは +15 の期待値ですが、63%の人はすでに+15になっています。
200個 - 7割以上の人は +15 になっています。しかしこれはエメ級以下の +2 成功率
より低いということを忘れてはいけません。
300個 - 87.7%の人が +15 になっています。しかし 5%の人は +5 以下…
500個 - 97.5% の人は +15 になっています。しかし、1%の人は +5 以下みたいです…

数字で見てしまうと萎えるかもしれませんが、まあ所詮確率にすぎませんので
参考までに

P.S. シミュレーターやってみました。三回目の結果は 501個で +3 に戻って 525個で
+15になりました。とりあえずエメ級+5と防具+4を先にします…
Re: ダイヤ強化の分布 ( No.10 )
日時: 2004/10/25 14:44
名前: うろたん ID:

非常に興味深い結果です。
本結果のグラフをいろいろと整理してみて、自分がダイヤ強化する際の
一つの方法・・・目安を考えました。

ずばり、『ダイヤを50個用意して連続投入』する!
これです。

理由は至極単純です。
上の結果を見ると、48個のダイヤ投入までは+3が最も確率が高く、+14まで
単調減少となっています。
この予測は以前にも、どなたかが行っていたので割愛します。

そこで、49個になるとどうでしょう。
+3の確率と+15の確率が逆転します。

つまり、約50個投入時点において、天国と地獄の境があると考えます。
自分の強化が『今日は調子イイ!』と思ったら、この50個を投入するという寸法です。

運がよければ、+15に傾くでしょう。
運が悪ければ+3です。
+15or+3の確率は24.4%

強化途中で落ち着く確率が残り75.6%
+4に近いほうに落ち着く確率が高いですが、勝算に乏しい投入よりもオカルト的&理論的に
安心できる予感がします。

ま、ダイヤ50個とか・・・集まらないわけですが・・・(_ _;
Re: ( No.11 )
日時: 2006/05/29 22:49
名前: Goose14  <onlinepharmacy49@hotmail.com> ID:

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RE: ( No.12 )
日時: 2006/05/30 01:17
名前: Sid Vicious Jr  <sumoonline334@yahoo.co.uk> ID:

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