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Question: Answered & Verified by Expert
Choose a number n uniformly at random from the set $\{1,2, \ldots 100\}$. Choose one of the first seven days of the year 2014 at random and consider n consencutive days among the chosen $n$ days, the number of Sunday is different from the number of Mondays?
MathematicsProbabilityKVPYKVPY 2014 (SB/SX)
Options:
  • A $\frac{1}{2}$
  • B $\frac{2}{7}$
  • C $\frac{12}{49}$
  • D $\frac{43}{175}$
Solution:
2897 Upvotes Verified Answer
The correct answer is: $\frac{2}{7}$
Check for $n=1,2,3, \ldots \ldots$

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