find the probability that a non leap year selected at random will contain only 52 Sundays
creamiepie:
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We have ,
365 days = 52 weeks and 1 day
Thus, a non leap year has always 52 Sundays.
The remaining can be
✴Monday and Tuesday
✴Tuesday and Wednesday
✴Wednesday and Thursday
✴Thursday and Friday
✴Friday and Saturday
✴Saturday and Sunday
✴ Sunday and Monday
Clearly, there are seven elementary events associated with this random experiment.
Let A be the event that a non leap year has 52 Sundays.
Clearly, the event A will happen if the last one day of the non leap year is either Sunday and Monday.
Therefore, Favourable event = 1
Hence ,required probability =
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