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Addition and Multiplication Theorem of Probability is a complicated topic and students pursuing Statistics encounter a lot of problems when they are given assignments to write on these theorems. The students under these circumstances feel the need to avail professional writing services such as BookMyEssay for Addition and Multiplication Theorems assignment help. We have hired extremely competent Statistics assignment experts who can offer the most reliable assignment solution so that they not just under these theorems properly but secure top grades too.

What is Addition and Multiplication Theorems?

Addition theorems in probability are the procedure to determine the probability that one or more than event occurs. For any two events such as A and B, the probability of AUB is equal to the probability of A being added to probability B minus probability of A∩B.

P (A∪B) = P(A) + P(B) – P(A∩B)

In Multiplication Theorem, when A and B are independent events then the probability both will happen is equal to the product of the individual probabilities.

P(A∩B)=P(A)xP(B)

When you know that two events have the probability to occur then it is known as the intersection of two events. This probability rule is used for finding the intersection of various sets of events known as dependent and independent events.

In independent events, the probability of events is not affected by previous events. In a dependent event, an event influences the result of some other event. To find the intersection of these two events, whether dependent or independent, multiply these two probabilities together. Our online experts explain the theorems in details and solve the Additional theorem assignment problems following a step-by-step procedure.


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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.


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