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Consider two random variables, (x) and (y), each following a uniform distribution. Specifically, (x) is uniformly distributed over the interval ([1, 3]), and  (y) is uniformly distributed over the interval ([2, 4]). What will be $P(x \geq y)$
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I was getting $\dfrac{1}{8}$ as answer by the following logic.

I modeled the problem as the following graph,

Where the orange shaded region is all the possibilities and green region is the favorable possibilities $(x\ge y)$.

The areas was coming out to be

Area of orange region $= 2 \cdot 2 = 4$

Area of green region $= \dfrac{1}{2}\cdot 1 \cdot 1 = \dfrac{1}{2}$

Probability $ = \dfrac{\dfrac{1}{2}}{4} = \dfrac{1}{8} = 0.125$

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solution:

I also had given the DA exam but not found this question or i just panicked during exam and not able to answer this question sad

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