Discuss complementary events (and the \"rule of complementary events\"), a compo

Question

Discuss complementary events (and the "rule of complementary events"), a compound event, the addition rule of probability, disjoint events, the multiplication rule of probability, and independent events.

This is what I have below: Can you advise if you agree or disagree and why and if you were to add something to it what would you add?

Complementary events: is the complement of event A, denoted by /A, consists of all outcomes in which event A does not occur. The rule of complementary events are P(A)+p(/A)=1 P(/A)=1-P(A) P(A)=1-P(/A) (the major advantage of the rule of complementary events is that it simplifies certain probability problems.

Compound event: is any event combining two or more simple events.

Addition rule of probability: A tool for finding P(A or B), which is the probability that either event A occurs or event B occurs (or both occur) as the single outcome of a procedure. By adding the number of ways that A can occur and the number of ways B can occur, but added without double counting.

Disjoint events: Events that cannot occur at the same time; they do not overlap.

Multiplication rule of probability: The section presents the basic multiplication rule used for finding P(A and B), which is the probability that event A occurs and event B occurs. It is the rule for finding P(A and B) because it involves the multiplication of the probability of event A and the probability of event B.

Independent events: if the occurrence of one event does not affect the probability of the occurrence of the other they are considered independent.

Explanation / Answer

Very well written. I want to add some points.

In addition rule of probability, please add "If two events A and B are disjoint, then P(A or B) = P(A)+P(B).

In multiplication rule of probability, please add "If two events A and B are independent, then P(A and B) = P(A)P(B) while if two events A and B are dependent, then P(A and B) = P(A)P(B|A)"

rest is fine.

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