NCERT Class XII Mathematics Chapter - - Solutions
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Question : 90
Total: 101
If a leap year is selected at random, what is the chance that it will contain 53 tuesdays ?
Solution:
A leap year has 366 days, which contain 52 full weeks + 2 Extra Days.
The extra days can occur as :
(Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday) and (Sunday, Monday).
Thus total no. of exhaustive cases = 7.Out of these two are favourable i.e. (Monday, Tuesday) and (Tuesday, Wednesday)
∴ Required probability=
The extra days can occur as :
(Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday) and (Sunday, Monday).
Thus total no. of exhaustive cases = 7.Out of these two are favourable i.e. (Monday, Tuesday) and (Tuesday, Wednesday)
∴ Required probability
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