1. The problem statement, all variables and given/known data Let U1, U2, and U3 be independent random variables uniform on [0,1]. Find the probability that the roots of the quadratic U1x2+U2x+U3 are real. 2. Relevant equations 3. The attempt at a solution So we need to find P(U22>4U1U3), which involves evaluating some integral. The think the integrand would be 1 since we are dealing with uniform random variables. But beyond that, I need assistance in figuring out whether it should be a double integral or a triple integral and the limits of integration.