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MHT CET202526 Apr 2025Evening ShiftMathematicsProbabilityActual

The probability that a non leap year selected at random will contain 52 Saturdays or 53 Sundays is

Options

  1. A1 7
  2. B6 7
  3. C2 7
  4. D5 7

Correct answer

B. 6 7

Step-by-step solution

A non-leap year consists of 365 days, which equals 52 weeks and 1 odd day. The odd day can be any day of the week with equal probability, so the sample space has 7 equally likely outcomes. Let A be the event of having exactly 52 Saturdays. This occurs when the odd day is not Saturday, giving 6 favorable outcomes: Monday through Friday and Sunday. Let B be the event of having 53 Sundays. This requires the odd day to be Sunday, with exactly 1 favorable outcome. The probability of A or B occurring is given by P(A B) =

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