Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Probability

Question:

What is the probability that any non-leap year will have 53 Sundays?

Options:

$\frac{1}{53}$

$\frac{2}{53}$

$\frac{1}{7}$

$\frac{2}{7}$

Correct Answer:

$\frac{1}{7}$

Explanation:

We know,

A non-leap year has 365 days

A year has 52 weeks. Hence there will be 52 Sundays for sure.

52 weeks = 52 x 7 = 364 days .

365– 364 = 1 day extra.

In a non-leap year there will be 52 Sundays and 1day will be left.

This 1 day can be Sunday, Monday, Tuesday, Wednesday, Thursday, friday, Saturday, Sunday.

Of these total 7 outcomes, the favourable outcomes are = 1.

Hence the probability of getting 53 sundays = 1/7.