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Choose a number n uniformly at random from the set {1,2,…,100}. Choose one of the first seven days of the year 2014 at random and consider n consecutive days starting from the chosen day. What is the probability that among the chosen �� days, the number of Sundays is different from the number of Mondays?
  • a)
    1/2
  • b)
    2/7
  • c)
    12/49
  • d)
    43/175
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Choose a number n uniformly at random from the set{1,2,…,100}. ...
2014 starts with a Wednesday
1234567
WTFSSM T
So if Wednesday is day n = 1 then Sundays will come on days n = 5,12,19,…96, total 15 Sundays.
Similarly if we start with-
Thursday - 14 sundays 
Friday - 14 sundays 
Saturday - 15 sundays 
Sunday - 15 sundays 
Monday - 14 sundays 
Tuesday - 14 sundays
So, probability 
⇒ P = 2/7
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Choose a number n uniformly at random from the set{1,2,…,100}. Choose one of thefirst seven days of the year 2014 at random and considernconsecutive days starting from the chosen day. What is the probability that among the chosen��days, the number of Sundays is different from the number of Mondays?a)1/2b)2/7c)12/49d)43/175Correct answer is option 'B'. Can you explain this answer?
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Choose a number n uniformly at random from the set{1,2,…,100}. Choose one of thefirst seven days of the year 2014 at random and considernconsecutive days starting from the chosen day. What is the probability that among the chosen��days, the number of Sundays is different from the number of Mondays?a)1/2b)2/7c)12/49d)43/175Correct answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Choose a number n uniformly at random from the set{1,2,…,100}. Choose one of thefirst seven days of the year 2014 at random and considernconsecutive days starting from the chosen day. What is the probability that among the chosen��days, the number of Sundays is different from the number of Mondays?a)1/2b)2/7c)12/49d)43/175Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose a number n uniformly at random from the set{1,2,…,100}. Choose one of thefirst seven days of the year 2014 at random and considernconsecutive days starting from the chosen day. What is the probability that among the chosen��days, the number of Sundays is different from the number of Mondays?a)1/2b)2/7c)12/49d)43/175Correct answer is option 'B'. Can you explain this answer?.
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