TDSM 2.3

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X\Y 1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 2 3 4 5 6
3 3 3 3 4 5 6
4 4 4 4 4 5 6
5 5 5 5 5 5 6
6 6 6 6 6 6 6


[math]P\left(max(X,Y) = 1\right) = \frac{1}{36}[/math]

[math]P\left(max(X,Y) = 2\right) = \frac{3}{36}[/math]

[math]P\left(max(X,Y) = 3\right) = \frac{5}{36}[/math]

[math]P\left(max(X,Y) = 4\right) = \frac{7}{36}[/math]

[math]P\left(max(X,Y) = 5\right) = \frac{9}{36}[/math]

[math]P\left(max(X,Y) = 6\right) = \frac{11}{36}[/math]