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Dogberry's alarm clock is battery operated. The battery could fail with equal probability at any time of the day or night. Every day Dogberry sets his alarm for 6:30 a.m. and goes to bed at 10:00 p.m. Find the probability that when the clock battery finally dies, it will do so at the most inconvenient time, between 10:00 p.m. and 6:30 a.m.

 Feb 8, 2020
 #1
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10 to 630 = 8 1/2 hours

 

8 1/2 /24   = 17/48  probability   (?)   

 
 Feb 8, 2020

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