Statistics and Probability: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q158

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumStatistics and Probability258× since 2002

Two numbers

\mathbf{k}_1

and

\mathbf{k}_2

are randomly chosen from the set of natural numbers. Then, the probability that the value of

i^{k_1} + i^{k_2}

(i = \sqrt{-1})

is non-zero, equals

JEE Main 2025 · January, Unspecified (session-level dataset) · Q158

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumStatistics and Probability258× since 2002

Two numbers

\mathbf{k}_1

and

\mathbf{k}_2

are randomly chosen from the set of natural numbers. Then, the probability that the value of

i^{k_1} + i^{k_2}

(i = \sqrt{-1})

is non-zero, equals

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