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clc;
//page 86
//problem 2.2
//Probability that A will occur if B has already occurred(P_AB) = ratio of Probability of joint occurence of A&B (P_A_B) & Probability of B(P_B)
//P_A_B(robability of joint occurence) = Probability that A&B both occur(P_AinterB)
//From given values P_AinterB = 0.1 implies P_A_B = 0.1 & P_B = 0.4
P_AinterB = 0.1
P_A_B = P_AinterB
P_B = 0.4
P_AB = P_A_B/P_B
//Similarly
//Probability that B will occur if A has already occurred(P_BA) = ratio of Probability of joint occurence of A&B (P_A_B) & Probability of B(P_A)
//From given values P_A = 0.2
P_A = 0.2
P_BA = P_A_B/P_A
//Bayes theorem says that P_AB = (P_A/P_B)*P_BA
//After Calculating LHS & RHS if both are equal then bayes theorem is satisfying
//Calculating LHS
LHS = P_AB
//Calculating RHS
RHS = (P_A/P_B)*P_BA
disp('P(A/B) = '+string(P_AB) );
if LHS == RHS then
disp('LHS = RHS, Hence Bayes theorem is verified' );
end
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