Additional Theorem Features
The features of Addition Theorems are explained in our help for assignment with Addition and Multiplication Theorems as follows:
Mutually exclusive events
Anyone or more than the event is known to be mutually exclusive when they do not have a common element, for instance, if the happening of an event prevents the happening of others, then the events are known to be mutually exclusive.
Mutually exhaustive events
Two events are known to be mutually exhaustive when there is a certainty that at least one of the two events shall occur. It means one event shall definitely occur.
When A and B are mutually exhaustive then their probability is 1
P(AUB)=1.
For example, the event to get a head and an event to get a tail when you toss a coin is said to be mutually exhaustive.
Multiplication Theorem Features
The events in multiplication theorem are discussed in our Addition and Multiplication Theorems homework assignment writing help as follows:
Independent Events
Two events such as A and B are known to be independent when there is not any change to the happening of any event when another event happens.
Two events are known to be independent when
P(A|B) = P(A) where P(B)≠0.
P(B|A) = P(B) where P(A)≠0.
Two events such as A and B are independent when
P(A∩B) = P(A) * P(B).
Dependent Events
When A and B are known to be two dependent events then the possibilities of happening A considering that B has occurred already is denoted by P(A/B)

The rule P(A∩B)=P(A)xP(B) is applicable in all the cases, whether the events are dependent or independent. If the events are dependent you should be careful to determine the probability of the second event after the first event has happened.
Multiplication Theorem is applicable to the combination of events. When the events have to happen together then multiplication theorem is used.