sum of 7:
there are 6 combinations: (1,6) (6,1) (2,5) (5,2) (3,4) and (4,3)
[tex]=6\times\frac{1}{36}=\frac{6}{36}[/tex]sum of 11:
there are 2 combinations: (5,6) and (6,5)
[tex]=2\times\frac{1}{36}=\frac{2}{36}[/tex]thus the probability is
sum of 7 + sum of 11
[tex]\begin{gathered} =\frac{6}{36}+\frac{2}{36} \\ =\frac{8}{36} \\ =\frac{2}{9} \end{gathered}[/tex]therefore = 22%