Algorithms_in_C++  1.0.0
Set of algorithms implemented in C++.
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
25  {
26  return (A + B) - (A * B_given_A);
27 }

◆ 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
14  {
15  return (A + B) - (A * B);
16 }

◆ main()

int main ( void  )

Main function

30  {
31  double A = 0.5;
32  double B = 0.25;
33  double B_given_A = 0.05;
34 
35  std::cout << "independent P(A or B) = " << addition_rule_independent(A, B)
36  << std::endl;
37 
38  std::cout << "dependent P(A or B) = "
39  << addition_rule_dependent(A, B, B_given_A) << std::endl;
40 
41  return 0;
42 }
Here is the call graph for this function:
addition_rule_dependent
double addition_rule_dependent(double A, double B, double B_given_A)
Definition: addition_rule.cpp:25
std::cout
std::endl
T endl(T... args)
addition_rule_independent
double addition_rule_independent(double A, double B)
Definition: addition_rule.cpp:14