PERMUTATIONS AND COMBINATIONS

PROBABILITY OF EVENTS

PROBABILITY OF EVENTS

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Definition

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

Examples

PROBABILITY OF UNION OF EVENTS

PROBABILITY OF UNION OF EVENTS

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Definition

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.

Example

PROBABILITY OF MUTUALLY EXCLUSIVE EVENTS

PROBABILITY OF MUTUALLY EXCLUSIVE EVENTS

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Definition

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.

Example

PERMUTATIONS

PERMUTATIONS

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Definition

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

Example

COMBINATIONS

COMBINATIONS

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Subtopic

Definition

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

Example

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Subtopic

PROBABILITY

PROBABILITY

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Definition

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

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Example

RULES