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

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1 (%class=abc%)
2 1. ((({{formula}}S=\lbrace b, rb, gb, rrb, rrr, rrg, rgb, rgr, rgg, grb, grr, grg, ggb, ggr, ggg\rbrace \Rightarrow |S|= 15{{/formula}}
3
4 [[image:baumdiagramm.svg||class=center width=600]]
5 )))
6 1. (((
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 )))