Latest Bank Exam Aptitude Question SOLUTION: Find the probability that a year chosen at random has 53 Mondays. 1) 5/28 2) 3/28 3) 1/28 4) 2/28

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(#M40156325) BANK EXAM Numerical Ability question Probability Keep an EYE

Find the probability that a year chosen at random has 53 Mondays.
1) 5/28
2) 3/28
3) 1/28
4) 2/28

Asked In Bank Exam sahil (8 years ago)

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Read Solution (1) :

Manisha Sadhu  (8 years ago)

There are 2 kinds of year

Leap year - probability =1/4(ie out of 4 years one is a leap year)
Non leap year - probability =3/4

So it's either this OR that

Now in non leap year, there are 365 days meaning 52 Weeks with one day extra
That one day can be Monday out of 7 possible days.Hence the probability =1/7

Similarly in leap year, there are 366 days and so 366/7= 52 Weeks with 2 days Extra
Now probability of occurrence of Monday out of possible 7 days =2/7

So what we essentially want is
(A non leap year AND Monday) OR ( A leap year AND Monday)

So it'll be [3/4*1/7] + [1/4*2/7]=0.178

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