The GATE Grind

GATE 2022 AG – Question 12

Engineering Mathematics · Probability and Statistics · 1 mark · Multiple choice

Find the probability of 53 Sundays in a randomly selected leap year.

  1. 1/7
  2. 1/4
  3. 2/7
  4. 4/7

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Show answer and explanation

Correct answer: (C) 2/7

Explanation

A leap year has $366=52(7)+2$ days. Its two extra consecutive weekdays include Sunday if they are Saturday–Sunday or Sunday–Monday. Of seven equally likely starting weekdays, two qualify. Thus **2/7, C**.

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