Q216 / 270 · NDA 2020 · Mathematics

What is the probability that February of a leap year selected at random, will have five Sundays?

  • A
    $\frac{1}{5}$
  • Correct answer
    B
    $\frac{1}{7}$
  • C
    $\frac{2}{7}$
  • D
    1

Solution

Number of days in February, when year is a leap year $=29$ days $=4$ weeks +1 odd day 4 weeks have 4 sundays. Probability that 1 odd day is sunday $=\frac{1}{7}$.

Hence, the correct answer is option: 'B'.

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