


from math import factorial
def        UpperCamelCase_(				_A   :int				,     _A   :int				,     _A   :float  )->		float:
			if successes > trials:
						raise ValueError("successes must be lower or equal to trials"  )
			if trials < 0 or successes < 0:
						raise ValueError("the function is defined for non-negative integers"  )
			if not isinstance(_A				,     _A  ) or not isinstance(_A				,     _A  ):
						raise ValueError("the function is defined for non-negative integers"  )
			if not 0 < prob < 1:
						raise ValueError("prob has to be in range of 1 - 0"  )
			UpperCamelCase__					=       (prob**successes) * ((1 - prob) ** (trials - successes))
			# Calculate the binomial coefficient: n! / k!(n-k)!
			UpperCamelCase__					=       float(factorial(_A  )  )
			coefficient /= factorial(_A  ) * factorial(trials - successes  )
			return probability * coefficient


if __name__ == "__main__":
						from doctest import testmod

						testmod()
						print('Probability of 2 successes out of 4 trails')
						print('with probability of 0.75 is:', end=' ')
						print(binomial_distribution(2, 4, 0.75))






import os
import tempfile
import unittest

from transformers.models.marian.convert_marian_tatoeba_to_pytorch import DEFAULT_REPO, TatoebaConverter
from transformers.testing_utils import slow
from transformers.utils import cached_property







@unittest.skipUnless(os.path.exists(UpperCAmelCase      )					,	'Tatoeba directory does not exist.'      )
class        lowerCamelCase__	(							unittest.TestCase      ):






			"""simple docstring"""






			@cached_property
			def 				snake_case__				(							self     ):

						'''simple docstring'''


						UpperCamelCase__					=       tempfile.mkdtemp()
						return TatoebaConverter(save_dir=snake_case     )




			@slow
			def 				snake_case__				(							self     ):

						'''simple docstring'''


						self.resolver.convert_models(["heb-eng"]     )







			@slow
			def 				snake_case__				(							self     ):

						'''simple docstring'''


						UpperCamelCase__,      UpperCamelCase__					=       self.resolver.write_model_card("opus-mt-he-en"      ,						dry_run=snake_case     )
						assert mmeta["long_pair"] == "heb-eng"


