Articles tagged: Probability
Probability theory and statistics
Probability of Real Roots in a Quadratic Equation with Uniform(α,β) Coefficients
We derive a general formula for the probability of real roots when quadratic coefficients are U(α,β), extending our symmetric case result.
Probability of Real Roots in a Quadratic Equation with Uniform(-θ,θ) Coefficients
What's the chance a quadratic has real roots when coefficients are random? We find it's 62.7% using probability theory and Monte Carlo simulation.