\(n\left( \Omega \right) = {6^2} = 36\).
a) \(A = \left\{ {\left( {2;6} \right);\left( {3;5} \right);\left( {4;4} \right);\left( {5;3} \right);\left( {6;2} \right)} \right\} \Rightarrow n\left( A \right) = 5\).
\( \Rightarrow P\left( A \right) = \dfrac{5}{{36}}\).
b) \(B = \left\{ {\left( {6;4} \right);\left( {4;6} \right);\left( {5;3} \right);\left( {3;5} \right);\left( {4;2} \right);\left( {2;4} \right);\left( {3;1} \right);\left( {1;3} \right)} \right\} \Rightarrow n\left( B \right) = 8\)
\( \Rightarrow P\left( B \right) = \dfrac{8}{{36}} = \dfrac{2}{9}\).
c) \(C = \left\{ {\left( {1;1} \right);\left( {2;2} \right);\left( {3;3} \right);\left( {4;4} \right);\left( {5;5} \right);\left( {6;6} \right)} \right\} \Rightarrow n\left( C \right) = 6\).
\(\Rightarrow P\left( C \right)=\dfrac{6}{36}=\dfrac{1}{6}\)
d) \(D = \left\{ {\left( {4;3} \right);\left( {4;4} \right);\left( {4;5} \right)} \right\} \Rightarrow n\left( D \right) = 3\).
\( \Rightarrow P\left( D \right) = \dfrac{3}{{36}} = \dfrac{1}{{12}}\)
