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Probability — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsProbability2 Marks
MCQ
The probability that a leap year selected at random will contain 53 Sundays is
  • A
    $\frac{1}{7}$
  • ✓
    $\frac{2}{7}$
  • C
    $\frac{2}{9}$
  • D
    $\frac{3}{7}$
✓

Answer

Correct option: B.
$\frac{2}{7}$
(B)
In a leap year, there are 366 days in which 52 weeks and two days. The combination of 2 days may be: Sun - Mon, Mon - Tue, Tue - Wed, Wed - Thu, Thu - Fri, Fri - Sat, Sat - Sun.
$\therefore \quad P(53$ Sun $)=\frac{2}{7}$

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