What would be the probability that leap year would have exactly 52 Tuesdays?

Answer 1

The probability here as asked "exactly"
Is actually this
Now , as we know that a leap year has 366 days
This means if we want to have exactly 52 Tuesdays then the remaining two days must not be a Tuesday
The outcomes can be either
(Sun,Mon) (Mon,Tues),(Tues,wed) (Wed,thurs) (thurs,fri) (fri,sat)
(Sat,sun) .now the favourable outcomes are only 5 , therefore it should be 5/7
It is 5/7

Comments

You are right.

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Oh I didn't consider the exactly part !!! How Stupid !

Answer 2

The probability is 100% because any year including a leap year has atleast 52×7 = 364 days in it repeating all the seven days 52 times.

Comments

Its exactly not atleast please cross-check.

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If I say exactly there, then it means every year has only 364 days.

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What I meant there was every year has a minimum of 52×7 = 364 days in it.

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It means any year will run out of 364 days in it before its over ie., after 365 or in the leap year case 366 days.

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I thought You were talking about the answer. I didn't pause to think that you might have been talking about the my understanding of the question !!! LOL.

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It looks to me that exactly 52 Tuesdays means it should not have 53 Tuesdays.

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Yeah I made a mistake here. Somehow I thought he was asking the probability of a day repeating 52 times in a year or a leap year. And the word exactly skipped past my head.