If the numbers appeared on the two throws of a fair six faced die are α and β, then the probability that x²+α x+β>0, for all x R, is:

Statistics and Probability: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jul, Morning shift · Q4920

JEE Main 202225 Jul, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

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>0

, for all

x \in \mathbf{R}

, is :