Änderungen von Dokument Lösung Kugeln ziehen

Zuletzt geändert von Holger Engels am 2026/06/17 22:09

Von Version 3.1
bearbeitet von Holger Engels
am 2026/06/17 22:08
Änderungskommentar: Neues Bild baumdiagramm.svg hochladen
Auf Version 1.1
bearbeitet von Holger Engels
am 2025/06/27 14:25
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

Details

Seiteneigenschaften
Inhalt
... ... @@ -1,11 +1,8 @@
1 -(%class=abc%)
2 -1. ((([[image:baumdiagramm.svg||class=right]]
3 -{{formula}}S=\lbrace b, rb, gb, rrb, rrr, rrg, rgb, rgr, rgg, grb, grr, grg, ggb, ggr, ggg\rbrace \Rightarrow{{/formula}}
4 -|S|= 15
5 -)))
6 -1. (((
1 +{{formula}}S=\lbrace b, rb, gb, rrb, rrr, rrg, rgb, rgr, rgg, grb, grr, grg, ggb, ggr, ggg\rbrace \Rightarrow{{/formula}} |S|= 15
2 +
7 7  {{formula}}P(A) = 1 – P({b, rb, gb}) = 1 – \frac{4}{12}+\frac{8}{12}\cdot\frac{4}{11}=\frac{14}{33}{{/formula}}
8 -{{formula}}P(B) = P({rb, gb}) = \frac{3}{12}\cdot\frac{4}{11}+\frac{5}{12}\cdot\frac{4}{11} = \frac{8}{33}\approx 0,2424{{/formula}}
9 -{{formula}}C={ } \Rightarrow P(C)=0{{/formula}}
10 -{{formula}}P(D) = 1 - P({b}) = 1 – \frac{4}{12}=\frac23{{/formula}}
11 -)))
4 +
5 + P(B)= P({rb,gb}) \= ![][image8] \= ![][image9]
6 +
7 + C={ } P(C)=0
8 + P(D) \= 1- P({b}) \= 1 – ![][image10]
baumdiagramm.svg
Author
... ... @@ -1,1 +1,0 @@
1 -XWiki.holgerengels
Größe
... ... @@ -1,1 +1,0 @@
1 -5.0 KB
Inhalt
... ... @@ -1,142 +1,0 @@
1 -<svg viewBox="0 0 1000 960" width="1000" height="960" xmlns="http://www.w3.org/2000/svg">
2 - <title>Baumdiagramm - Urnenmodell (ohne Zurücklegen)</title>
3 -
4 - <rect width="100%" height="100%" fill="#ffffff"/>
5 -
6 - <style>
7 - .edge { stroke: #94a3b8; stroke-width: 2; fill: none; }
8 - .node-text { font-family: sans-serif; font-size: 14px; font-weight: bold; fill: #ffffff; text-anchor: middle; dominant-baseline: central; }
9 - .end-label { font-family: sans-serif; font-size: 12px; fill: #64748b; font-style: italic; dominant-baseline: central; }
10 - </style>
11 -
12 - <defs>
13 - <g id="node-b">
14 - <circle r="16" fill="#3b82f6"/>
15 - <text class="node-text" y="1">b</text>
16 - </g>
17 - <g id="node-r">
18 - <circle r="16" fill="#ef4444"/>
19 - <text class="node-text" y="1">r</text>
20 - </g>
21 - <g id="node-g">
22 - <circle r="16" fill="#22c55e"/>
23 - <text class="node-text" y="1">g</text>
24 - </g>
25 - </defs>
26 -
27 - <g class="edges">
28 - <line x1="60" y1="480" x2="300" y2="60" class="edge"/>
29 - <line x1="60" y1="480" x2="300" y2="300" class="edge"/>
30 - <line x1="60" y1="480" x2="300" y2="720" class="edge"/>
31 -
32 - <line x1="300" y1="300" x2="600" y2="120" class="edge"/>
33 - <line x1="300" y1="300" x2="600" y2="240" class="edge"/>
34 - <line x1="300" y1="300" x2="600" y2="420" class="edge"/>
35 -
36 - <line x1="300" y1="720" x2="600" y2="540" class="edge"/>
37 - <line x1="300" y1="720" x2="600" y2="660" class="edge"/>
38 - <line x1="300" y1="720" x2="600" y2="840" class="edge"/>
39 -
40 - <line x1="600" y1="240" x2="900" y2="180" class="edge"/>
41 - <line x1="600" y1="240" x2="900" y2="240" class="edge"/>
42 - <line x1="600" y1="240" x2="900" y2="300" class="edge"/>
43 -
44 - <line x1="600" y1="420" x2="900" y2="360" class="edge"/>
45 - <line x1="600" y1="420" x2="900" y2="420" class="edge"/>
46 - <line x1="600" y1="420" x2="900" y2="480" class="edge"/>
47 -
48 - <line x1="600" y1="660" x2="900" y2="600" class="edge"/>
49 - <line x1="600" y1="660" x2="900" y2="660" class="edge"/>
50 - <line x1="600" y1="660" x2="900" y2="720" class="edge"/>
51 -
52 - <line x1="600" y1="840" x2="900" y2="780" class="edge"/>
53 - <line x1="600" y1="840" x2="900" y2="840" class="edge"/>
54 - <line x1="600" y1="840" x2="900" y2="900" class="edge"/>
55 - </g>
56 -
57 - <g font-family="monospace" font-size="14" font-weight="bold" fill="#334155" text-anchor="middle" dominant-baseline="central" style="paint-order: stroke; stroke: #ffffff; stroke-width: 4; stroke-linejoin: round;">
58 - <text x="180" y="270">4/12</text>
59 - <text x="180" y="390">3/12</text>
60 - <text x="180" y="600">5/12</text>
61 -
62 - <text x="450" y="210">4/11</text>
63 - <text x="450" y="270">2/11</text>
64 - <text x="450" y="360">5/11</text>
65 -
66 - <text x="450" y="630">4/11</text>
67 - <text x="450" y="690">3/11</text>
68 - <text x="450" y="780">4/11</text>
69 -
70 - <text x="750" y="210">4/10</text>
71 - <text x="750" y="240">1/10</text>
72 - <text x="750" y="270">5/10</text>
73 -
74 - <text x="750" y="390">4/10</text>
75 - <text x="750" y="420">2/10</text>
76 - <text x="750" y="450">4/10</text>
77 -
78 - <text x="750" y="630">4/10</text>
79 - <text x="750" y="660">2/10</text>
80 - <text x="750" y="690">4/10</text>
81 -
82 - <text x="750" y="810">4/10</text>
83 - <text x="750" y="840">3/10</text>
84 - <text x="750" y="870">3/10</text>
85 - </g>
86 -
87 - <g class="nodes">
88 - <circle cx="60" cy="480" r="6" fill="#334155"/>
89 -
90 - <use href="#node-b" x="300" y="60"/>
91 - <use href="#node-r" x="300" y="300"/>
92 - <use href="#node-g" x="300" y="720"/>
93 -
94 - <use href="#node-b" x="600" y="120"/>
95 - <use href="#node-r" x="600" y="240"/>
96 - <use href="#node-g" x="600" y="420"/>
97 -
98 - <use href="#node-b" x="600" y="540"/>
99 - <use href="#node-r" x="600" y="660"/>
100 - <use href="#node-g" x="600" y="840"/>
101 -
102 - <use href="#node-b" x="900" y="180"/>
103 - <use href="#node-r" x="900" y="240"/>
104 - <use href="#node-g" x="900" y="300"/>
105 -
106 - <use href="#node-b" x="900" y="360"/>
107 - <use href="#node-r" x="900" y="420"/>
108 - <use href="#node-g" x="900" y="480"/>
109 -
110 - <use href="#node-b" x="900" y="600"/>
111 - <use href="#node-r" x="900" y="660"/>
112 - <use href="#node-g" x="900" y="720"/>
113 -
114 - <use href="#node-b" x="900" y="780"/>
115 - <use href="#node-r" x="900" y="840"/>
116 - <use href="#node-g" x="900" y="900"/>
117 - </g>
118 -
119 - <g class="labels">
120 - <text x="325" y="60" class="end-label">Ende</text>
121 -
122 - <text x="625" y="120" class="end-label">Ende</text>
123 - <text x="625" y="540" class="end-label">Ende</text>
124 -
125 - <text x="925" y="180" class="end-label">Ende</text>
126 - <text x="925" y="240" class="end-label">Ende</text>
127 - <text x="925" y="300" class="end-label">Ende</text>
128 -
129 - <text x="925" y="360" class="end-label">Ende</text>
130 - <text x="925" y="420" class="end-label">Ende</text>
131 - <text x="925" y="480" class="end-label">Ende</text>
132 -
133 - <text x="925" y="600" class="end-label">Ende</text>
134 - <text x="925" y="660" class="end-label">Ende</text>
135 - <text x="925" y="720" class="end-label">Ende</text>
136 -
137 - <text x="925" y="780" class="end-label">Ende</text>
138 - <text x="925" y="840" class="end-label">Ende</text>
139 - <text x="925" y="900" class="end-label">Ende</text>
140 - </g>
141 -</svg>
142 -