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Choose a point at random in the square with sides 0 <=x≤1 and ≤ y ≤...

Choose a point at random in the square with

sides 0 <=x≤1 and ≤ y ≤ 1. This means that the probability

that the point falls in any region within the square is the area of

that region. Let X be the x coordinate and Y be the

y coordinate of the point chosen. Find the conditional probability Pr(Y<1/3|Y>X).

Hint

Sketch the square and the events

Y<1/3 and Y>X

math   Statistics-And-Probability   
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