• N=20

• n=5

• $M_1=8M\_1=8$ und $k_1=2k\_1=2$ (zwei der 8 roten Gummibärchen sollen herausgenommen werden)

• $M_2=7M\_2=7$ und $k_2=2k\_2=2$ (zwei der 7 grünen Gummibärchen sollen herausgenommen werden)

• $M_3=5M\_3=5$ und $k_3=1k\_3=1$ (eines der 5 gelben Gummibärchen sollen herausgenommen werden)

$P(2\text{ rote},2\text{ gr}\ddot{\text{u}}\text{ne},1\text{ gelbes})=\frac{\left(\begin{array}{c}{M}_1\\ k_1\end{array}\right)\left(\begin{array}{c}{M}_2\\ k_2\end{array}\right)\left(\begin{array}{c}{M}_3\\ k_3\end{array}\right)}{\left(\begin{array}{c}N\\ n\end{array}\right)}=\frac{\left(\begin{array}{c}8\\ 2\end{array}\right)\left(\begin{array}{c}7\\ 2\end{array}\right)\left(\begin{array}{c}5\\ 1\end{array}\right)}{\left(\begin{array}{c}20\\ 5\end{array}\right)}\approx 0.1896P\; \backslash left(\; 2\; \backslash text\{\; rote\},\; 2\; \backslash text\{\; grüne\},\; 1\; \backslash text\{\; gelbes\}\; \backslash right)\; =\backslash frac\{\; \backslash begin\{pmatrix\}\; M\_1\; \backslash \backslash \; k\_1\; \backslash end\{pmatrix\}\; \backslash begin\{pmatrix\}\; M\_2\; \backslash \backslash \; k\_2\; \backslash end\{pmatrix\}\backslash begin\{pmatrix\}\; M\_3\; \backslash \backslash \; k\_3\; \backslash end\{pmatrix\}\}\{\backslash begin\{pmatrix\}\; N\; \backslash \backslash \; n\; \backslash end\{pmatrix\}\}=\backslash frac\{\; \backslash begin\{pmatrix\}\; 8\; \backslash \backslash \; 2\; \backslash end\{pmatrix\}\; \backslash begin\{pmatrix\}\; 7\; \backslash \backslash \; 2\; \backslash end\{pmatrix\}\backslash begin\{pmatrix\}\; 5\; \backslash \backslash \; 1\; \backslash end\{pmatrix\}\}\{\backslash begin\{pmatrix\}\; 20\; \backslash \backslash \; 5\; \backslash end\{pmatrix\}\}\; \backslash approx\; 0.1896$