$[-/1$ Points$]$ LARCALC$114\mathrm{.}4\mathrm{.}061.$

A horizontal plane is ruled with parallel lines $6$ inches apart. A six inch needle is tossed randomly onto the plane.

The probability that the needle will touch a line is given below, where $$ is the acute angle between the needle and any one of the parallel lines.

$P=\frac{2}{}{\displaystyle \underset{0}{\overset{\frac{}{2}}{}}}sin()d$

Find this probability. $($Round your answer to one decimal place.$)$

$\%$

$q,$

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