Calculus and Probability?

Calculus Level 5

\(ABCD\) is a unit square. The points points \(E\) and \(F\) are chosen uniformly at random from the sides \(AD\) and \(AB\) respectively. What is the probability that the area of the triangle \(AEF\) is greater than \( \dfrac 13\)?

Give your answer to three decimal places.

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