Question

select the correct choice that completes the sentence below. for any event a, ( p(a)+p(\text{not }a)= )

Explanation:

Step1: Recall the complement rule in probability

The complement rule states that for an event \(A\) and its complement (not \(A\)), the sum of their probabilities is equal to \(1\). Mathematically, if \(P(A)\) is the probability of event \(A\) and \(P(\text{not }A)\) is the probability of the complement of \(A\), then \(P(A)+P(\text{not }A) = 1\). This is because either event \(A\) occurs or it does not occur, and these are the only two possibilities in the sample space for this simple - event relationship.

Answer:

1