Select the correct statement concerning the Law of Total Probability and conditional probability.
A) The Law of Total Probability defines unconditional probability of an event P(E) using known conditional probabilities P(E|Bk) given that mutually exclusive events Bk have occurred, each Bk with a known probability itself. Conditional probability P(E|F) defines the probability of an event E given that an event F has occurred.
B) The Law of Total Probability defines unconditional probability of an event P(E) using known conditional probabilities P(E|Bk) given that mutually exclusive events Bk have occurred, each Bk with a known probability itself. Conditional probability P(E|F) defines the probability of an event F given that an event E has occurred.

Question

Quizplus · Accepted Answer

The Law of Total Probability indeed involves breaking down the probability of an event E into a sum of probabilities conditioned on mutually exclusive and exhaustive events Bk. Conditional probability, as described in option A, correctly defines P(E|F) as the probability of E given F has occurred, not the other way around as suggested in option B.

Select the Correct Statement Concerning the Law of Total Probability