Question: Let A, B, and C be independent random variables, uniformly distributed on (0, 1). What is the probability that Ax2 + Bx + C has

Let A, B, and C be independent random variables, uniformly distributed on (0, 1). What is the probability that Ax2 + Bx + C has real roots? (If X ~ uniform(0,1), then - log X ~ exponential. The sum of two independent exponentials is gamma.)

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