Hard Puzzle
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A stopped clock gives the exact time twice a day, while a normally running (but out of sync) clock will not be right more than once over a period of months. A clever grandfather [as in grandfather clock] adjusted his clock to give the correct time at least twice a day, while running at the normal rate. Assuming he was not able to set it perfectly, how did he do it?
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Using a water tap, a 07 gallon container and a 11 gallon container, can you measure exactly 9 gallons?
You may empty the containers down the drain.
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What if somebody offered to bet that at least two people in your Social group had the same birthday?
Would you take the bet?
How large must a social group be to make the probability of finding two people with the same birthday at least 50%?
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