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

  1. \[S=\lbrace b, rb, gb, rrb, rrr, rrg, rgb, rgr, rgg, grb, grr, grg, ggb, ggr, ggg\rbrace \Rightarrow |S|= 15\]

    baumdiagramm.svg

  2. \(P(A) = 1 – P({b, rb, gb}) = 1 – \frac{4}{12}+\frac{8}{12}\cdot\frac{4}{11}=\frac{14}{33}\)
    \(P(B) = P({rb, gb}) = \frac{3}{12}\cdot\frac{4}{11}+\frac{5}{12}\cdot\frac{4}{11} = \frac{8}{33}\approx 0,2424\)
    \(C={ } \Rightarrow P(C)=0\)
    \(P(D) = 1 - P({b}) = 1 – \frac{4}{12}=\frac23\)