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Draw a diagram of the square and the events

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Reference no: EM132157604

Choose a point at random in a square with sides 0≤x≤1 and 0≤y≤1 (that is, x is a randomly chosen between 0 and 1, y chosen independently, also between 0 and 1). Essentially, you are randomly choosing a point in a 1x1 unit square. This means that the probability that the point falls in any region within the square is equal to the area of that region. Let X be the x coordinate and Y the y coordinate of the point chosen. Find the conditional probability P(Y<1/2 | Y>X) (Hint : Draw a diagram of the square and the events described).

Reference no: EM132157604

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