\[n = A_{10}^{2};\ \ \ m = 1;\]
\[P(A) = \frac{m}{n} = \frac{1}{A_{10}^{2}} = 1\ :\frac{10!}{(10 - 2)!} =\]
\[= \frac{8!}{10!} = \frac{8!}{10 \bullet 9 \bullet 8!} = \frac{1}{90}.\]
\[Ответ:\ \ \frac{1}{90}.\]