1.The probability of selecting integers a∈[−5,30]a \in [-5, 30]a∈[−5,30] such that x2+2(a−4)x+5a+64>0x^2 + 2(a-4)x + 5a + 64 > 0x2+2(a−4)x+5a+64>0, for all x∈Rx \in \mathbb{R}x∈R, is:a.16\frac{1}{6}61b.13\frac{1}{3}31c.14\frac{1}{4}41d.12\frac{1}{2}21Login to continueOnly logged in users canattempt or see the solution.