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5. Pick a uniformly chosen random point inside the triangle with vertices (0, 0), (3, 0)...

5. Pick a uniformly chosen random point inside the triangle with vertices (0, 0), (3, 0) and (0, 3).

(a) What is the probability that the distance of this point to the y-axis is less than 1?

(b) (b) What is the probability that the distance of this point to the origin is more than 1?

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