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