Problem: if a speaks the truth 30 % of the times , b speaks the truth 40 % of the times . what is the probability that at least one will tell the truth
Rationale: "probability of a speaks truth p ( a ) = 3 / 10 ; false = 7 / 10 probability of b speaks truth p ( b ) = 4 / 10 ; false = 6 / 10 . for given qtn ans = 1 - ( neither of them tell truth ) . because a & b are independent events = 1 - [ ( 7 / 10 ) * ( 6 / 10 ) ] = 1 - 42 / 100 = 1 - 0.42 = 0.58 answer : a"
annotated_formula: multiply(divide(30, multiply(multiply(const_4, const_5), const_5)), divide(40, multiply(multiply(const_4, const_5), const_5)))