code: 
  
  
  
  
  
  from itertools import product
  
  
  
  
  def 						A_			(  lowercase_ = 15  )			->						int:
         _snake_case      :							float     				=						0.0
         _snake_case      :							float
         _snake_case      :							int
         _snake_case      :							int
         _snake_case      :							int
         _snake_case      :							int
         _snake_case      :							tuple[int, ...]
  
         for series in product(range(2  )      ,		repeat=lowercase_  ):
                _snake_case      :							Any     				=						series.count(1  )
                _snake_case      :							List[Any]     				=						num_turns - num_blue
                if num_red >= num_blue:
                       continue
                _snake_case      :							Union[str, Any]     				=						1.0
                for ind, col in enumerate(lowercase_      ,		2  ):
                       if col == 0:
                              prob *= (ind - 1) / ind
                       else:
                              prob *= 1 / ind
  
                total_prob += prob
  
         return int(1 / total_prob  )
  
  
  if __name__ == "__main__":
       print(F"""{solution() = }""")
  
  
  
  
  
  
  
style_context: 
  
  
  
  
  
  def 						A_			(  lowercase_  )			->						list:
         if len(lowercase_  ) <= 1:
                return data
         else:
                return [
                    *quick_sort([e for e in data[1:] if e <= data[0]]  ),
                    data[0],
                    *quick_sort([e for e in data[1:] if e > data[0]]  ),
                ]
  
  
  if __name__ == "__main__":
     import doctest
  
     doctest.testmod()
  
  
  
  
  
  
  