Question:
What is the chance that a leap year, selected at random, will have 53 Sundays?
What is the chance that a leap year, selected at random, will have 53 Sundays?
Show Hint
Normal Year (1 extra day) $\rightarrow$ 1/7 chance. Leap Year (2 extra days) $\rightarrow$ 2/7 chance.
Updated On: May 14, 2026
- 7/53
- 7/52
- 2/7
- 1/7
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Concept
A leap year has 366 days.
Step 2: Analysis
$366 \text{ days} = 52 \text{ weeks} + 2 \text{ extra days}$. Every week has one Sunday, so 52 Sundays are guaranteed.
Step 3: Reasoning
The 53rd Sunday depends on the 2 extra days. These days could be: (Mon, Tue), (Tue, Wed), (Wed, Thu), (Thu, Fri), (Fri, Sat), (Sat, Sun), or (Sun, Mon). Total outcomes = 7.
Step 4: Conclusion
The outcomes containing "Sun" are (Sat, Sun) and (Sun, Mon). Favorable outcomes = 2. Probability = 2/7. Final Answer: (C)
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