In a non-leap year, the probability of getting 53 Sundays or 53 Tuesdays, or 53 Thursdays is:
Options
A
B
C
D
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ProbabilityMCQMTP Dec 22 - Series 1Question 2809 of 295
All Questions Correct Answer
✅ Option c —
All Options:
- A
- B
- C
- D
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Detailed Solution & Explanation
To find the probability of getting 53 Sundays or 53 Tuesdays or 53 Thursdays in a non-leap year:
1. A non-leap year has **365 days**.
2. Calculating the number of weeks:
3. A non-leap year contains 52 complete weeks (which guarantees 52 Sundays, 52 Tuesdays, and 52 Thursdays) and **1 extra day**.
4. The 1 extra day can be any one of the 7 days of the week, each with an equal probability of :
5. For the year to have 53 Sundays, the extra day must be Sunday.
6. For the year to have 53 Tuesdays, the extra day must be Tuesday.
7. For the year to have 53 Thursdays, the extra day must be Thursday.
8. Since the single extra day can only be one day, these events are mutually exclusive. Therefore, the probability of getting 53 Sundays, 53 Tuesdays, or 53 Thursdays is the sum of their individual probabilities:
Hence, **Option C** is the correct answer.
About This Chapter: Probability
Paper
Paper 3: Quantitative Aptitude
Weightage
5-7 Marks
Key Topics
Probability Operations, Expected Value
A logic-heavy chapter dealing with random experiments, events (mutually exclusive, exhaustive), set theory probability, conditional probability, and Bayes' Theorem. It forms the basis for Theoretical Distributions.
View Official ICAI SyllabusExam Strategy Tip
Always draw a quick Venn Diagram or tree when faced with 'At least one' or 'Only A but not B' wording. It saves you from double-counting.
Key Concepts to Understand
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