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CBSE Class 10 Answered

tan1 tan2 tan3 ............tan89=1 what is the probability that a leap year selected at random will have 53 sundays  
Asked by sanjaysahu675 | 16 Jan, 2019, 10:41: PM
answered-by-expert Expert Answer
Every leap year has 52 Mondays, 52 Tuesdays..........,52 Saturdays and 52 Sundays. all these days become 52×7 = 364 days.
Hence the leap year has extra two days. These extra two days can be
 
{ Mon-Tue, Tue-Wed, Wed-Thu, Thu-Fri, Fri-Sat, Sat-Sun, Sun-Mon }
 
In the above sample space, there are 7 possible combination, but only two cases are favourable to have 53rd  sunday in a leap year.
 
hence required probability = 2/7
Answered by Thiyagarajan K | 16 Jan, 2019, 11:23: PM

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