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Probability
RD Sharma
CBSE
Grade 10

Question:

Find the probability of getting $53$ Sundays in a leap year.

Step-by-Step Solution

Key Concept: Leap year $= 366$ days $= 52$ weeks $+ 2$ extra days.<br>Possible pairs for 2 extra days: $(Sun, Mon), (Mon, Tue), (Tue, Wed), (Wed, Thu), (Thu, Fri), (Fri, Sat), (Sat, Sun)$ (7 pairs).<br>Favourable pairs containing Sunday $= 2$. $P = 2/7$.
2 extra days can form 7 pairs of consecutive days. [1.0 Mark]
Favourable pairs with Sunday $= 2 \Rightarrow P = 2/7$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Identifying 2 extra days & 7 sample space pairs: 1.0 Mark
Evaluating probability $= 2/7$: 1.0 Mark

Correct Answer:
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