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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
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.
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.
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}
Random Experiment, Sample Space, Events

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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}