addition_rule.cpp File Reference

Addition rule of probabilities. More...

#include <iostream>

Include dependency graph for addition_rule.cpp:

Functions
double	addition_rule_independent (double A, double B)
double	addition_rule_dependent (double A, double B, double B_given_A)
int	main ()

Detailed Description

Addition rule of probabilities.

Function Documentation

addition_rule_dependent()

double addition_rule_dependent	(	double	A,
		double	B,
		double	B_given_A )

Calculates the probability of the events A or B for dependent events note that if value of B_given_A is unknown, use chainrule to find it \parama [in] A probability of event A \parama [in] B probability of event B \parama [in] B_given_A probability of event B condition A

Returns

probability of A and B

                                                                     {
    return (A + B) - (A * B_given_A);
}

addition_rule_independent()

double addition_rule_independent	(	double	A,
		double	B )

calculates the probability of the independent events A or B for independent events \parama [in] A probability of event A \parama [in] B probability of event B

Returns

probability of A and B

                                                     {
    return (A + B) - (A * B);
}

main()

int main

(

void

)

Main function

           {
    double A = 0.5;
    double B = 0.25;
    double B_given_A = 0.05;
 
    std::cout << "independent P(A or B) = " << addition_rule_independent(A, B)
              << std::endl;
 
    std::cout << "dependent P(A or B) = "
              << addition_rule_dependent(A, B, B_given_A) << std::endl;
 
    return 0;
}

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