Problem Statement  
You have a skewed random number generator that outputs the number i with percentage probs[i]. Given that you have generated n numbers, return the probability (between 0 and 1) that value has been generated more times than any of the other numbers.  
Definition  
 
Notes  
  The returned value must be accurate to 1e9 relative or absolute.  
Constraints  
  probs will contain between 1 and 5 elements inclusive.  
  Each element of probs will be between 1 and 100 inclusive.  
  The elements of probs will sum to 100.  
  n will be between 1 and 15 inclusive.  
  value will be between 0 and N1 inclusive, where N is the number of elements in probs.  
Examples  
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