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Probability question

2022 · 25 Jul · Shift 1 · Q35

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JEE Main
Mathematics
Probability
2022 · 25 Jul · Shift 1 · Q35

Probability question

2022 · 25 Jul · Shift 1 · Q35

JEE MainMathematicsProbabilityMCQ+4 / −1

If the numbers appeared on the two throws of a fair six faced die are

\alpha

and

\beta

, then the probability that

x^{2}+\alpha x+\beta\gt 0

, for all

x \in \mathbf{R}

, is :

A
$\frac{17}{36}$
B
$\frac{4}{9}$
C
$\frac{1}{2}$
D
$\frac{19}{36}$

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