Step 1 :Let's denote the total number of subjects as \(total\_subjects\), the number of true negatives as \(true\_negatives\), the number of false positives as \(false\_positives\), and the number of non-users as \(non\_users\).
Step 2 :From the problem, we know that \(total\_subjects = 143 + 157 = 300\), \(true\_negatives = 157 - 3 = 154\), and \(false\_positives = 24\).
Step 3 :Then, we can calculate the number of non-users as \(non\_users = true\_negatives + false\_positives = 154 + 24 = 178\).
Step 4 :Finally, we can calculate the probability that a randomly selected subject did not use marijuana as \(probability\_non\_user = \frac{non\_users}{total\_subjects} = \frac{178}{300} = 0.593\).
Step 5 :Final Answer: \(\boxed{0.593}\)