The probability is 1/462.
To find this, we will find the number of combinations of 5 country songs taken 5 at a time, 6 pop songs taken 0 at a time, and the total number of outcomes will be 11 songs taken 5 at a time:
[tex]\frac{_5C_5\times_6C_0}{_{11}C_5}
\\
\\\frac{\frac{5!}{5!0!}\times\frac{6!}{0!6!}}{\frac{11!}{5!6!}}=\frac{1\times1}{\frac{11!}{5!6!}}
\\
\\=\frac{1}{462}[/tex]
