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  4. The probability that a non leap year selected at random will have 53 Sundays is

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Q. The probability that a non leap year selected at random will have $53$ Sundays is

WBJEEWBJEE 2017Probability

Solution:

In a pon-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, Tuesday, Wednesday, Thursday, Friday and Saturday.
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 $=\frac{1}{7}$