What is the probability that a leap year has 53 Sundays ?
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Answers
Answer:
hello here is your answer hope it helps u
Step-by-step explanation:
The two odd days can be {Sunday,Monday},{Monday,Tuesday},{Tuesday,Wednesday}, Wednesday,Thursday},{Thursday,Friday},{Friday,Saturday},{Saturday,Sunday}.
So there are 7 possibilities out of which 2 have a Sunday. So the probability of 53 Sundays in a leap year is72.
Answer:
we know that in normal year has 365 days with 7 day comprises a week.
Thus, number of weeks in normal year
= 365 ÷ 7 = 52 weeks and 1 left a day ( which is 52 Mondays ,52 Tuesdays ,52 wednesdays ,52 Thursday, 52 Fridays ,52 Saturdays ,52 Sundays ) .
A leap year has 366 days in which 2 days are left with 52 weeks.
That can be any of the day of a week.
so total possible days are :
( Sunday ,Monday); ( Monday ,Tuesday); ( Tuesday, Wednesday ); ( Wednesday, Thursday); ( Thursday, Friday); ( Friday ,Saturday); ( Saturday, Sunday);
so here favourable outcome = 2 ( i.e; (Sunday, Monday)
(Saturday, Sunday).
Total possible outcome =
Thus ,required for probability = 2/7.
Hence , the answer is 72.
I hope its help you.