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Probability a Quadratic Has No Real Roots

Combinatorics · Math Count PH 2025 1333
Two fair six-sided dice are rolled, with the results being $ B $ and $ C $. What is the probability that the quadratic equation $ x^2 + Bx + C = 0 $ has no real solutions in $ x $? The answer is in the form $\frac{m}{n}$ for coprime positive integers $m$ and $n$. Input the value of $m+n$.