An experiment that can result in different outcomes, even though it is repeated in the same manner every time, is called a Random Experiment.

The set of all possible outcomes of a random experiment is called the sample space of the experiment.  The sample space is denoted as S.

A sample space is discrete if it consists of a finite or countable infinite set of outcomes.

A sample space is continuous if it contains an interval (either finite or infinite) of real numbers.

An event is a subset of the sample space of a random experiment.

Whenever a sample space consists of N Possible outcomes that are equally likely, the probability of each outcome is 1/N

For a discrete sample space, the probability of an event E, denoted as P(E), equals the sum of the probabilities of the outcomes in E

Probability A union B union C

P( A U B U C)

Conditional Probability:

Probablity of B given A

Probability:

A intersection B

P(A n B)

Conditional Probability:

Probability A given B

Probability:

Independent Events

Conditional Probability:

Probability of A given B

P(A|B)

probability:

Random Variable

Probability:

Discrete and Continuous Random Variable

Counting Techniques:

The total number of ways of completing the operations n1, n2, n3.... etc

The number of permutations of a subset of r elements selected from a set of n different elements: