Conditional Probability

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What is the law of total probability?

It states that if $B_1, B_2, ..., B_n$ are disjoint events, then $P(A) = \sum_{i=1}^{n} P(A|B_i)P(B_i)$.

What does $P(B)$ represent in the conditional probability formula?

$P(B)$ is the probability of event B occurring.

What does $P(B|A)$ represent?

$P(B|A)$ is the probability of event B occurring given that event A has occurred.

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