Question

Answer in brief and concise sentences.

A. What is Combinatorics?
B. State the Multiplication Rule of Counting
C. State the Addition Rule of Counting
D. Describe the 2 approaches of defining probability.

Answer 1

A) Combinatorics is a branch of Mathematics that deals with problems of selection, arrangement, and operation within a finite or discrete system it's objective being how to count without counting

B)The Multiplication Rule of Counting states that, if there are $a$ ways of doing something and $b$ ways of doing another thing, then there are $a. b$ ways of performing both actions.

C) The Addition Rule of Counting states that if there $A$ ways of doing something and $B$ ways of doing another thing and we can not do both at the same time, then there are $A+B$ ways to choose one of the actions.

D) Approaches of defining Probability

i) Classical Approach. . .

If an experiment has $n$ simple outcomes, this method would assign a probability of $\frac{1} {n}$ to each outcome. Meaning, each outcome is assumed to have an equal probability of occurrence.

ii) Subjective Approach. . .

Under this approach,we define probability as the degree of belief that we hold in the occurrence of ane vent. Hence,judgment is used as the basis for assigning probabilities.