Random Experiment Sample Space and Event

In this class, We discuss Random Experiment Sample Space and Event.

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The reader should have prior knowledge of probability. Click Here.

Experiment: An experiment is a physical process or action observed. And the result is noted.

Example: Drop a pen.

May the pen break or not?

Take a note of pen broke or not.

Random Experiment:

We know all the possible outcomes in a random experiment. 

We can not predict the exact outcome in advance.

Example: Toss a coin.

Possible outcomes are {H, T}

We can not predict which outcome.

Not Random Experiment:

Boil the water. The water will evaporate.

We know the outcome in advance.

Sample Space:

A set of all possible outcomes of a random experiment is called sample space.

Examples:

Toss a coin {H, T}

Toss two coins {HH, HT, TH, TT}

Roll a dice {1, 2, 3, 4, 5, 6}

Event:

Every non-empty subset of a sample space of a random experiment is called an event.

Example: Toss two coins

Sample space = {HH, HT, TH, TT}

getting two heads is an event = {HH}

Getting exactly one head is an event = {HT, TH}