



"""simple docstring"""

from math import factorial
def  __snake_case							(	__A      :						int							,		__A      :						int							,		__A      :						float     )     ->       float:






				'''simple docstring'''
				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'     )
				SCREAMING_SNAKE_CASE						:							Union[str, Any]							=     (prob**successes) * ((1 - prob) ** (trials - successes))
				# Calculate the binomial coefficient: n! / k!(n-k)!
				SCREAMING_SNAKE_CASE						:							Dict							=     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))










"""simple docstring"""

# NOTE: This file is deprecated and will be removed in a future version.
# It only exists so that temporarely `from diffusers.pipelines import DiffusionPipeline` works

from ...utils import deprecate
from ..controlnet.pipeline_flax_controlnet import FlaxStableDiffusionControlNetPipeline  # noqa: F401


deprecate(
    'stable diffusion controlnet',
    '0.22.0',
    'Importing `FlaxStableDiffusionControlNetPipeline` from diffusers.pipelines.stable_diffusion.flax_pipeline_stable_diffusion_controlnet is deprecated. Please import `from diffusers import FlaxStableDiffusionControlNetPipeline` instead.',
    standard_warn=False,
    stacklevel=3,
)





