What does the Multiplication Law compute in probability theory?

The Multiplication Law in probability theory is indeed concerned with the intersection of two events. In probability, the intersection refers to the scenario where both events occur simultaneously. The Multiplication Law states that the probability of the intersection of two events A and B can be expressed as the probability of A multiplied by the probability of B given that A has occurred. This can be mathematically represented as P(A and B) = P(A) * P(B|A).

Understanding this law is crucial as it allows for the calculation of the probability of two dependent events occurring together. For example, if you are calculating the probability of drawing two cards from a deck without replacement, the result of the first draw affects the probability of the second draw. Therefore, using the Multiplication Law helps in accurately determining such probabilities based on the relationships and conditions between the events.

In contrast, the other options focus on different aspects of probability, such as single event probability, unions of events, or conditional probabilities without directly addressing the intersection concept that the Multiplication Law highlights.