Two numbers \({\mathrm{k}}_{1}\text{ and }{\mathrm{k}}_{2}\) are randomly chosen from the set of natural numbers. Then, …

Two numbers \({\mathrm{k}}_{1}\text{ and }{\mathrm{k}}_{2}\) are randomly chosen from the set of natural numbers. Then, the probability that the value of \({\mathrm{i}}^{{\mathrm{k}}_{1}}+{\mathrm{i}}^{{\mathrm{k}}_{2}},(\mathrm{i}=\sqrt{-1})\) is non-zero, equals

[JEE Main 2025, 28 Jan (Shift 1)]