# DBT JRF 2020 — Question 8

Exam: DBT JRF 2020 · Section: A · Topic: Aptitude & Reasoning · Difficulty: Medium

## Question

What is the probability of getting 53 Sundays in a 'Leap' year?

## Options

- **A.** 1/7
- **B.** 3/7
- **C.** 4/7
- **D.** 2/7

## Answer

Option D

## Explanation

A leap year has 366 days = 52 complete weeks (364 days) + 2 extra days. These 2 extra days can be any consecutive pair from the 7 possible pairs: {Mon-Tue, Tue-Wed, Wed-Thu, Thu-Fri, Fri-Sat, Sat-Sun, Sun-Mon}. For there to be 53 Sundays, Sunday must appear in the extra 2 days. Pairs containing Sunday: {Sat-Sun} and {Sun-Mon} → 2 favourable outcomes. $P(53 \text{ Sundays}) = \dfrac{2}{7}$

Source: https://mypyqbuddy.com/questions/what-is-the-probability-of-getting-53-sundays-6a05a8a02adafec4702931ee