Geometric probability · Algebra class · difficulty 3 of 5
A random quadratic
Two numbers B and C are chosen independently and uniformly at random between 0 and 1. What is the probability that the equation x² + Bx + C = 0 has real roots (counting a repeated root as real)?
Answer with a probability. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.
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