If an individual is selected at random, probability that he has a birthday in July in 2012 is A) 30/365 B) 31/365
If an individual is selected at random, probability that he has a birthday in July in 2012 is
A) 30/365
B) 31/365
C) 30/366
D) 31/366
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Correct option is: D) \(\frac{31}{366}\)
Since, \(\frac {2012}4 = 503\)
Hence, 2012 is completely divisible by 4.
\(\therefore\) 2012 is a leap year in which total No of days are 366.
Total No of days in the month of July in 2012 = 31.
\(\therefore\) Probability that on individual person has a birthday in July in 2012 is
P = \(\frac {Total \,No\, of\, days \,in \,July\, in \, 2012}{Total\, No \,of\, days \,in \,year \,2012}\)= \(\frac {31}{366}\)
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