Q52 / 155 · WBJEE 2017 · Mathematics

The probability that a non-leap year selected at random will have 53 Sunday is

  • A
    0
  • Correct answer
    B
    $1 / 7$
  • C
    $2 / 7$
  • D
    $3 / 7$

Solution

In a non-leap year,total number of days is 365 . Out of them, there are 52 weeks and 1 day extra. Thus, a non-leap year always has 52 Sunday. The remaining 1 day can be Sunday, Monday, Tuenday, Wednesday, Thursday, Friday and Sarurday. Out of these 7 cases, we have Sunday in one case $\therefore$ Total number of outcomes = 7 Number of favourable outcomes = 1 Hence, required probability $=\frac{1}{7}$

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

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