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JEE MATHEMATICS MCQ: PROBABILITY

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Application +4 | -1

The probability of selecting integers

a \in \left[ { - 5,30} \right]\,

such that

{x^2} + 2\left( {a + 4} \right)x\mathrm{ } - \mathrm{ }5a\mathrm{ } + \mathrm{ }64\mathrm{ } > \mathrm{ }0,\mathrm{ }

for all

x \in R,

is

View answer and explanation

Correct option: B

\frac{2}{{9}}

Option B (

\frac{2}{{9}}

) is correct because it represents the probability of 'a' lying within the interval (-16, 3) given the constraint a ∈ [-5, 30].

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