point is chosen randomly on a line segment of length 1. Find the probability that the ratio of the longer to the shorter segment is greater than 4.
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Step 1
Let the line segment be represented by the interval [0, 1]. We denote the point chosen randomly on this segment as \( x \), where \( x \) is a random variable uniformly distributed over the interval [0, 1]. Show more…
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A point is chosen at random on a line segment of length $L$. Interpret this statement and find the probability that the ratio of the shorter to the longer segment is less than $\frac{1}{4}$.
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