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