Question

in probability theory, we can use the multiplication law to calculate the probability of
a. the union of two events.
b. the intersection of two events.
c. one event given the occurrence of another event.
d. two independent events.

Explanation:

The multiplication law in probability theory is used to find the probability of the intersection of two events. It states that for two events A and B, $P(A\cap B)=P(A|B)\times P(B)$ (when conditional - probability is involved) or for independent events $P(A\cap B) = P(A)\times P(B)$. It is not for the union of two events (which uses addition law with adjustments for non - mutually exclusive events), nor for just one event given another (which is conditional probability), and while it has a form for independent events, its general use is for the intersection of events.

Answer:

B. the intersection of two events