def i(A, B):
	"""
	:param A: First probability
	:param B: Second probability
	:return: The intersection of A and B
	"""
	return A * B


def u(A, B):
	"""
	:param A: The first probability
	:param B: The second probability
	:return: The union of A and B
	"""
	return A + B - i(A, B)


def g(A, B):
	"""
	:param A: The first probability
	:param B: The second probability
	:return: The conditional probability of A given B
	"""
	return g(A, B) / B


def n(A):
	"""
	:param A: The probability
	:return: The negation of A
	"""
	return 1 - A


def man():
	"""
	Prints the manual for the module.
	"""
	print("This module contains functions for computing the total probability of events.")
	print("The functions are:")
	print("i(A, B) - The intersection of A and B")
	print("u(A, B) - The union of A and B")
	print("g(A, B) - The conditional probability of A given B")
	print("n(A) - The negation of A")