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MHT CET202415 May 2024Morning ShiftMathematicsProbabilityActual

The probability, that a year selected at random will have 53 Mondays, is

Options

  1. A1 4
  2. B3 28
  3. C5 28
  4. D3 4

Correct answer

C. 5 28

Step-by-step solution

A leap year comes after 3 years. The probability of a year being a leap year = 1 4 Probability of a year being a non-leap year =1- 1 4 = 3 4 In a non-leap year, there are 52 weeks and one extra day, whereas a leap year has 52 weeks and 2 extra days. 53^ rd Monday's chance in a non-leap year = 1 7 Two extra days of a leap year can be (Mon, Tue), (Tue, Wed), (Wed, Thu), (The, Fri), (Fri, Sat), (Sat, Sun), (Sun, Mon) There are 2 possibilities for having a 53^ rd Monday in a leap year. aligned & 53^ rd Monday's chance

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