Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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How are odds in favor of event A calculated?

1 - P(A)
P(A) / (1 - P(A))
P(A) + P(A)
P(A) + P(B)

The correct answer is: P(A) / (1 - P(A))

The odds in favor of an event A are calculated by taking the probability of the event occurring, P(A), and dividing it by the probability of the event not occurring, which is represented as (1 - P(A)). This gives a ratio that expresses how likely event A is to happen compared to how likely it is not to happen. For instance, if the probability of event A occurring is 0.8, then the probability of event A not occurring would be 1 - 0.8 = 0.2. To find the odds in favor of event A, you would divide 0.8 by 0.2, resulting in odds of 4:1 in favor of A. Calculating odds this way provides a more nuanced view beyond just the probability, as it shows the relative likelihood of two outcomes—event A occurring versus not occurring.