Math, asked by kaussssss, 1 year ago

what is the probability that a leap year has 53 Sunday

Answers

Answered by Riyaz786
22
A leap yr has 366 days

366 days=52 weeks+2 days extra

S={SM,MT,TW,WT,TF,FS,SS}

n(S)=7

Let A be the event that 2 days contain sunday

A={SM,SS}

n(A)=2

P(A)=n(A)/n(S)

=2/7

Answered by siddhartharao77
13
(1) A non-leap year consists of 365 days.

The number of days in a week n(S) = 7.

       365 days = 52 * 7
 
                       = 364.

That means we are left with 1-day.

And that 1 day can be Sun, Mon, Tue, Wed, Thu, Fri, Sat. 

Therefore n(E) = 1.


(2)A leap year consists of 366 days.

The number of days in a week n(S) = 7.

366 days = 52 * 7

                = 364.

That means we are left with 2-days. 
 
Therefore n(E) = 2.



Therefore the probability = n(E)/n(S)

                                           = 2/7.

Hope this helps!
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