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GATE CSE 2026 Session 1 Q10: Probability second die roll is a multiple of the first

Question

An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The probability that the number appearing in the second roll is an integer multiple of the number appearing in the first roll is __________

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Answer: C (official GATE 2026 final answer key)

Concept used: Counting favourable outcomes among 36 equally likely ordered pairs.

First step: For each first roll aa, count multiples of aa in 1 to 6: 6+3+2+1+1+16 + 3 + 2 + 1 + 1 + 1.

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Source: official GATE 2026 Session 1 CS question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key

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