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43 lines
1.1 KiB
C++
43 lines
1.1 KiB
C++
/**
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* @file
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* @brief Addition rule of probabilities
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*/
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#include <iostream>
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/**
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* calculates the probability of the independent events A or B for independent
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* events
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* \parama [in] A probability of event A
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* \parama [in] B probability of event B
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* \returns probability of A and B
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*/
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double addition_rule_independent(double A, double B) {
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return (A + B) - (A * B);
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}
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/** Calculates the probability of the events A or B for dependent events
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* note that if value of B_given_A is unknown, use chainrule to find it
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* \parama [in] A probability of event A
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* \parama [in] B probability of event B
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* \parama [in] B_given_A probability of event B condition A
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* \returns probability of A and B
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*/
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double addition_rule_dependent(double A, double B, double B_given_A) {
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return (A + B) - (A * B_given_A);
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}
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/** Main function */
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int main() {
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double A = 0.5;
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double B = 0.25;
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double B_given_A = 0.05;
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std::cout << "independent P(A or B) = " << addition_rule_independent(A, B)
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<< std::endl;
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std::cout << "dependent P(A or B) = "
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<< addition_rule_dependent(A, B, B_given_A) << std::endl;
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return 0;
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}
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