PERMUTATIONS AND COMBINATIONS

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PERMUTATIONS AND COMBINATIONS

PROBABILITY

Probability is a numerical description of how likely an event is to occur or how likely it is that a proposition is true.

COMBINATIONS

Combinations is unlike permutations. it is the selection of given things without the need of a specific arrangement.

Subtopic

PERMUTATIONS

Several possible variations, or ways, in which a set or number of things may be arranged, aligned, or ordered in a manner.

PROBABILITY OF MUTUALLY EXCLUSIVE EVENTS

Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.

PROBABILITY OF UNION OF EVENTS

Example

Suppose A and B are two events associated with a random experiment. Then the union of A and B is represented by A ∪ B. The probability of union of two events is given by: P(A∪B) = P(A)+P(B) – P(A∩B) Here, P (A) is the probability of event A, P (B) is the probability of event B.

PROBABILITY OF EVENTS

Examples

Definition

The probability of an event is the measure of the chance that the event will occur as a result of an experiment.

Formula

Rules