A ____________ is the probability that one event will occur given that we know that another event already has occurred.
A)Sample space outcome
B)Subjective Probability
C)Complement of events
D)Long-run relative frequency
E)Conditional probability

Question

Quizplus · Accepted Answer

The definition matches exactly with the concept of conditional probability, where the probability of an event A given that event B has occurred is denoted as P(A|B). The expression captures the fact that the information about the occurrence of B has narrowed down the sample space, and the calculation of the probability of A should take this into account. Option A refers to a potential outcome in the sample space, but it is not related to the question. Option B refers to subjective beliefs, which are not necessarily based on any previous events. Option C refers to the complement of an event, which is the probability of its non-occurrence, and does not depend on the occurrence of another event. Option D refers to the concept of relative frequency, but it does not take into account any conditioning information.

A ____________ Is the Probability That One Event Will Occur