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Statistics and Probability — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsStatistics and Probability1 Mark
MCQ
Choose the correct answer from the given four options:
The probability that a non leap year selected at random will contain 53 sundays is:
  • ✓
    $\frac{1}{7}$
  • B
    $\frac{2}{7}$
  • C
    $\frac{3}{7}$
  • D
    $\frac{5}{7}$
✓

Answer

Correct option: A.
$\frac{1}{7}$
A non-leap year has 365 days and therefore 52 weeks and 1 day.The 1 day may be Sunday or Manday or Tuesday or Wednesday or Thursday ot Friday or Saturday. Thus, out of 7 possibilities, 1 favourable enent is the event that the one day is Sunday.
$\therefore\ \text{Required probability}=\frac{1}{7}$

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