Question:
If a leap year is selected at random, what is the chance that it will contain 53 tuesdays?
Answer:
In a leap year, total number of days = 366 days.
In 366 days, there are 52 weeks and 2 days.
Now two days may be
(i) Sunday and Monday
(ii) Monday and Tuesday
(iii) Tuesday and Wednesday
(iv) Wednesday and Thursday
(v) Thursday and Friday
(vi) Friday and Saturday
(vii) Saturday and Sunday
Now total 7 possibilities occur in which Tuesday comes 2 times.
So probabilities of 53 Tuesdays in a leap year = 2/7
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