GATE CS 2026 Set 1 — Question 10
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Engineering Mathematics → Probability & Statistics → Elementary Statistics & Probability
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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 __________
Correct answer
(C) (7)/(18)
Solution
Let the outcome of the two rolls be , where . The total number of outcomes is .The condition is that is an integer multiple of (i.e., is divisible by ). Let's list the favorable outcomes for each possible value of :
- If , (6 outcomes)
- If , (3 outcomes)
- If , (2 outcomes)
- If , (1 outcome)
- If , (1 outcome)
- If , (1 outcome)
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