Question
Download Solution PDFFind the probability that a non-leap year has 53 Sundays:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A non-leap year has 365 days.
1 week = 7 days, so 365 days = 52 weeks + 1 extra day.
Formula Used:
Probability = Favorable outcomes / Total outcomes
Calculation:
In a non-leap year:
365 days = 52 full weeks + 1 extra day.
This extra day can be any one of: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, or Sunday.
Out of these, the probability of the extra day being a Sunday is 1/7.
⇒ Total Sundays in a non-leap year = 52 Sundays (from 52 weeks) + 1 (if the extra day is Sunday).
⇒ Probability of having 53 Sundays = 1/7.
Final Answer:
The probability that a non-leap year has 53 Sundays is 1/7.
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