MathsJEE Main 2 Apr 2026, Shift 1·Q23·Numerical·Moderate

Probability · Classical probability counting

Let

a, b, c \in \{1, 2, 3, 4\}

. If the probability, that

ax^2 + 2\sqrt2\,bx + c > 0

for all

x \in \mathbb{R}

, is

\dfrac{m}{n}

\gcd(m, n) = 1

, then

m + n

is equal to .

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