Finding the probability of the coordinates of a point at random.

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Let $(X,Y)$ be the coordinate if a point chosen uniformly at random on $[0,1]^2$. Find the probability that $|Y-X| \leq 0.29$.

I think that this question may involve Lebesgue, but unsure how to start.

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you can start doing a drawing of your problem

enter image description here

your requested probability is the purple area...better: your probability is the ratio between purple and total area, which is 1 in this case

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Answer based on sketch suggestion from lulu

Finding the area of the non-shaded region is easier, so I calculated this and the the area of the unit square is 1, hence area of shaded region is 1-non-shaded? i.e. = 0.4959