Question

fill in the blank. when using the ______ always be careful to avoid double-counting outcomes. when using the dropdown always be careful to avoid double-counting outcomes. the dropdown options are polygraph test, multiplication rule, addition rule, odds formula.

Explanation:

The addition rule in probability (for mutually exclusive or non - mutually exclusive events) requires caution to avoid double - counting. For example, when calculating \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\), if we don't subtract \(P(A\cap B)\) (the overlap), we are double - counting the outcomes in both \(A\) and \(B\). The polygraph test is not related to counting outcomes, the multiplication rule is for independent events (counting combined outcomes without double - counting issues in the same way), and the odds formula is about the ratio of probabilities, not about avoiding double - counting of outcomes. So the addition rule is the correct choice.

Answer:

C. addition rule