Methods2025 NHT Exam 2 Section A · Q19CAS active1 mark

Probability a quadratic with dice coefficients has real roots

Let $B$ and $C$ be discrete random variables whose values are obtained from two rolls of a fair six-sided die.

Let $B$ be the number obtained on the first roll and $C$ be the number obtained on the second roll.

Find the probability that the quadratic equation $x^2 + Bx + C = 0$ has at least one real solution.

1 mark

\frac{19}{36}

\frac{1}{2}

\frac{17}{36}

\frac{1}{18}

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