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Question
What is the probability that a randomly taken leap year has 52 Sundays?
Sum
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Solution
Number of days in a leap year = 366
Number of weeks = `366/7` = 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.
Therefore, the probability of only 52 Sundays in a Leap year is `5/7`.
shaalaa.com
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