self Maths Puzzle

What is the probability that a non leap year selected at random has 53 mondays

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self Other Question

In a month of february of a non leap year the probability that it will have 5 saturday is In 12 hours how many times the two hands of clock will be just opposite to each other i.e they make a straight line having difference of 180 degree b/w them ?
(Please explain with concepts considered for this type of problem in detail)