How to find a probability?

Question

Imagine some kind of tape and its length equals to 2 meter. And we're going to write some data from any point of the tape to any point of the tape with the length of 68 centimeter. After writing first data,we need to write second data with the same length from any point of the tape to any point of the tape. The question is what is the probability that two data could be intersected?(in other words, can have common point). NOTE: This task is solved through continuous random variable.

Answer 1

Hint:

Suppose we pick some subset $[x,x+.68] \subseteq [0,2]$ and some other subset $[y,y+.68] \subseteq [0,2]$. That restricts $(x,y) \in [0,1.32]^2$. Let $y \geq x$. Note then the two subsets intersect if and only if $y \leq x+.68$.