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Math: Geometry

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If 0 < y < 1 and 0 < x < 1, find the probability that
y < x. Begin by sketching te graph, and then use the area method to find the probability.

Please help me. I do not understand. Thank you in advance!

  • Math: Geometry -

    The area of the region is 1.

    The line y=x divides it in half, along one diagonal.

    So, the area below y=x, representing y<x is 1/2.

    So, p(y<x) = (1/2)/(1) = 0.5

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