# A Random Picture

A pendulum oscillates harmonically in a room. A student enters the room and takes a picture of the pendulum at a random time. What is the probability that the picture will capture the pendulum in a position $$x$$ such that $\frac{|x|}{A}\leq \epsilon=\frac{1}{10}\ \text{?}$ Here, $$x$$ is deviation of the pendulum from the vertical and $$A$$ is the amplitude of the oscillations.

×