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+3 votes
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in Probability by (34.5k points)
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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

2 Answers

+1 vote
by (66.4k points)
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Best answer

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 = \(\frac {Total \,No\, of\, days \,in \,July\, in \, 2012}{Total\, No \,of\, days \,in \,year \,2012}\)\(\frac {31}{366}\)

+3 votes
by (35.6k points)

Correct option is: D) \(\frac{31}{366}\)

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