You are expecting a call from a friend anytime between 3:00 P.M. and 5:00 P.M. At 3:20 P.M, you discover that someone accidentally left the phone off the hook. What is the probability that you missed your friend’s call?
The working out:
Difference between 3:00 and 5:00 = 120 mins or 2 hours.
There is a possibility of 20/120 that you missed your friends call.
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The probability that you missed your friend’s call is 1/6
The range is given as:
Range = 3:00 P.M. and 5:00 P.M.
The number of minutes in the range is:
Total = 120 minutes
At 3:20 that you notice the phone is off the hook, the number of minutes missed is:
Time missed = 20 minutes
The probability is then calculated as:
P = 20/120
Evaluate
P = 1/6
Hence, the probability that you missed your friend’s call is 1/6
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