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Zuletzt geändert von Holger Engels am 2026/06/17 22:09
Von Version 1.1
bearbeitet von Holger Engels
am 2025/06/27 14:25
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 3.1
bearbeitet von Holger Engels
am 2026/06/17 22:08
Änderungskommentar: Neues Bild baumdiagramm.svg hochladen

Zusammenfassung

Details

Seiteneigenschaften
Inhalt
... ... @@ -1,8 +1,11 @@
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 -
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. (((
3 3  {{formula}}P(A) = 1 – P({b, rb, gb}) = 1 – \frac{4}{12}+\frac{8}{12}\cdot\frac{4}{11}=\frac{14}{33}{{/formula}}
4 -
5 - P(B)= P({rb,gb}) \= ![][image8] \= ![][image9]
6 -
7 - C={ } P(C)=0
8 - P(D) \= 1- P({b}) \= 1 – ![][image10]
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 +)))
baumdiagramm.svg
Author
... ... @@ -1,0 +1,1 @@
1 +XWiki.holgerengels
Größe
... ... @@ -1,0 +1,1 @@
1 +5.0 KB
Inhalt
... ... @@ -1,0 +1,142 @@
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 +