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Two points are chosen randomly on a line 9 cm long. Determine the probability that the distance between them is less than 3 cm
    Correct answer is between '0.5,0.6'. Can you explain this answer?
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    Two points are chosen randomly on a line 9 cm long. Determine the prob...
    x: The distance of first point from the start of the line
    y: distance of second point from the start of the line segment
    x,y ϵ[0,9]
    So sample space is Area of region bounded by
     x ≥ 0, y ≥ 0, x ≤ 9, y ≤ 9
    This is square of side 9
    Area = 81 cm2
    The region of our interest is
    |x-y| < 3
    0 ≤ x ≤ 9
    0 ≤ y ≤ 9
    Area of shaded region = 2 (area of triangle) + area of rectangle
     = 45
    Probability = 45/81 =0.55
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    Two points are chosen randomly on a line 9 cm long. Determine the probability that the distance between them is less than 3 cmCorrect answer is between '0.5,0.6'. Can you explain this answer?
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