A man looks at his watch at a random time between mid-day and 1300H. What is the probability that the angle between the hands of the watch is less than ?

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A man looks at his watch at a random time between mid-day and 1300H. What is the probability that the angle between the hands of the watch is less than ?

Ans:

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That’s an interesting question with an unexpected answer, I still can’t wrap my head around the answer. :S