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Question

The probability that a leap year will have only 52 Sundays is
  1. 47
  2. 17
  3. 67
  4. 57

A
47
B
17
C
57
D
67
Solution
Verified by Toppr

No. of days in a leap =366
(3667=52.28)
So, there will be 52 weeks and 2 days
So, every leap year has 52 Sundays
Now, the probability depends on remaining 2 days
The possible pairing of days are
Sunday-Monday
Monday-Tuesday
Tuesday-Wednesday
Wednesday-Thursday
Thursday-Friday
Friday-Saturday
Saturday-Sunday
There are total 7 pairs and out of 7 pairs, only 2 pairs have Sunday. The remaining 5 pairs does not include Sunday
Thus, the probability of not getting Sunday in the last 2 days is 57
Therefore, the probability of only 52 Sundays in a Leap year is 57.

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