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Random Experiment, Sample Space, Events
1. INSTITUTE OF PROFESSIONAL
EDUCATION & RESEARCH, BHOPAL
QUANTITATIVE METHODS FOR MANAGEMENT
PRESENTATION ON
RANDOM EXPERIMENT, SAMLPE SPACE AND
EVENTS
SUBMITTED TO- Prsented by:-
Prof. Vaibhav Lowelkar Sandeep Rai
Shailendra Tiwari
Sandeep Patel
Ajay kumar Nirmalkar
2. RANDOM EXPERIMENTS
An random experiments is an process which produces
outcomes.
If we toss a fair coin we may obtain either a head or a
tail so, tossing this fair coin is an experiment which can
produce two out comes, either head or tail.
3. EVENTS
An event is the outcome of an experiment.
Formally, any subset of the sample space is an event.
Any event which consists of a single outcome in the
sample space is called an elementary or simple event.
Events which consist of more than one outcome are
called compound events.
If the experiment is to roll a die, an event can be
defined
as obtaining a (1,2,3,4,5,6) an the upper face of the
dice.
4. SAMPLE SPACE
Sample space is a set of all possible outcomes of an
experiment. It’s denoted by S.
If a single die rolling experiment, The sample space
will be –
S = {1,2,3,4,5,6}
Experiment Tossing a coin:
Sample space S = {Heads, Tails}