Definitions

Random Experiments:

A process that produces a well-defined outcome (e.g., rolling a die, flipping a coin).

Sample Space (S):

The set of all possible outcomes of a random experiment.

Write sample space in set notation for, throw of dice, single coin, two coins, three coins.

Event:

Any subset E of a sample space S is called an event.

Take following events and verify the definitions with respective Sample Space:

1. getting number less than 5
2. Getting a head
3. Getting exactly one tail
4. Getting exactly two heads

Occurrence of Event:

Take an example of single throw of dice. Let even be E of number less than 3. If 1 appears event occurs and if 5 appears event does not occur.

Types of Events