Mutually Exclusive and Independent Events


Mutually Exclusive Events-

Two or more events events are said to be mutually exclusive if only one can happen at a time.

Example-1

In tossing a coin, event of tail up (T) and even of heads up (H) can not happen simultaneously. They are mutually exclusive events.

Example-2

In rolling of a dice, event of  face 4  up and event of  face 6 up can not happen simultaneously .

 

Independent Events

Two or more than two events are said to be independent if they can happen simultaneously. And ocurrence of one event does  affect on another.

Example-1

If two coins are tossed simultaneously, occurring of head (H)  up on one coin does not affect on ocurrence of tail up on another coin.

Related Posts  Random variables and Probability Distribution Functions

Example-

If two dice are rolled simultaneously, occuring of 4 face up  on first dice does not affect the ocurrenceof  6 face up on second dice.

 

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