Exclude leap years from the following calculations.
(a) Compute the probability that a randomly selected person does not have a birthday on November 10.
(b) Compute the probability that a randomly selected person does not have a birthday on the 3 rd day of a month.
(c) Compute the probability that a randomly selected person does not have a birthday on the 31 st day of a month.
(d) Compute the probability that a randomly selected person was not born in February.
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Answer:
a)
Total number of dayas = 365
The probability that randomly selected person does not have birthday on Nov 10 = 364/365 = 0.9973
b)
Number of 4th of a month in a year = 12
Number of days exclusing 3rd of a month = 365 - 12 = 353
The probability that randomly selected person does not have birthday on 3rd of a month = 353/365 = 0.967
c)
Number of 31st of a month in a year = 7
Number of days exclusing 31st of months = 365 - 7 = 358
The probability that randomly selected person does not have birthday on 31st of a month = 358/365 = 0.9808
d)
Number of days exclusing march = 365 - 28 = 337
The probability that randomly selected person was not borm in march = 337/365 = 0.9233
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