Question

fill in each blank so that the resulting statement is true. the odds in favor of e can be found by taking the probability that __ and dividing by the probability that __.

Explanation:

Step1: Recall odds - in - favor formula

The odds in favor of an event \(E\) is defined as the ratio of the probability of the event \(E\) occurring to the probability of the event \(E\) not occurring.
Let \(P(E)\) be the probability of event \(E\) and \(P(\overline{E})\) be the probability of the complement of event \(E\) (i.e., the event \(E\) not occurring). The formula for the odds in favor of \(E\) is \(\frac{P(E)}{P(\overline{E})}\).

Answer:

The odds in favor of \(E\) can be found by taking the probability that E occurs and dividing by the probability that E does not occur.