Question:
What is the chance that a leap year, selected at random, will NOT have 53 Sundays as well as 53 Mondays?
What is the chance that a leap year, selected at random, will NOT have 53 Sundays as well as 53 Mondays?
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In a leap year, only one out of the seven possible pairs of extra days results in 53 Sundays and 53 Mondays.
Updated On: May 13, 2026
- 1/7
- 2/7
- 5/7
- 6/7
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Concept
A leap year has 366 days (52 weeks + 2 extra days). To have 53 Sundays and 53 Mondays, those two extra days must be Sunday and Monday.
Step 2: Meaning
The 7 possible pairs for the extra days are: (Sun, Mon), (Mon, Tue), (Tue, Wed), (Wed, Thu), (Thu, Fri), (Fri, Sat), (Sat, Sun).
Step 3: Analysis
There is only 1 pair that contains both Sunday and Monday: (Sun, Mon). Probability(53 Sun AND 53 Mon) = $1/7$. The probability of NOT having both is $1 - P(\text{Both}) = 1 - 1/7 = 6/7$.
Step 4: Conclusion
The probability that a leap year will not have the specific combination of 53 Sundays and 53 Mondays is 6/7. Final Answer: (D)
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