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Double Digits

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.


Puzzle ID:#1112
Fun:*** (2.49)
Difficulty:*** (2.26)
Submitted By:starman****
Corrected By:shenqiang




As an inveterate clock watcher, James glances at his digital watch at random from time to time throughout the day. What is the probability that he will see all the digits reading the same (for example, 4:44) during any single glance? (Assume a typical day, not a day on which daylight savings time changes or anything like that. The watch is set to a 12 hour U.S. format, not a 24 hour European or military format.)

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