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Probability — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSProbability1 Mark
MCQ
The probability that a leap year will have $53$ sundays is:
  • A
    $\frac17$
  • ✓
    $\frac27$
  • C
    $\frac57$
  • D
    $\frac67$
✓

Answer

Correct option: B.
$\frac27$

A leap year has $52$ weeks and $2$ days.
The $53^{rd}$ Sunday will be from these extra two days
These $2$ days can be $($Sunday, Monday$)$ or $($Mon, Tue$)$ or $($Tue, Wed$).....($Sat, Sun$)$
There are $7$ possibilities for these $2$ days
Out of which Sunday is coming in $2$ possibilities.
$\therefore P(2$ sundays in leap year$) =\frac27$

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