Solution -
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
 
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