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MathNet 2008-part-02 — 165 problems (EN–VI) Question 68

Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)

Question 68

Eleonora plays with a die and a (stopped) clock that at the beginning shows 12 o'clock. 2008 times she rolls the die and moves the hands forward by as many hours as the result. What is, at the end, the probability that the hour hand is horizontal?
(A) 0
(B) $\frac{1}{2008}$
(C) $\frac{1}{1004}$
(D) $\frac{1}{12}$
(E) $\frac{1}{6}$.