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# Random Experiment, Sample Space, Events

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### Random Experiment, Sample Space, Events

1. 1. INSTITUTE OF PROFESSIONAL EDUCATION & RESEARCH, BHOPALQUANTITATIVE METHODS FOR MANAGEMENT PRESENTATION ONRANDOM EXPERIMENT, SAMLPE SPACE AND EVENTSSUBMITTED TO- Prsented by:-Prof. Vaibhav Lowelkar Sandeep Rai Shailendra Tiwari Sandeep Patel Ajay kumar Nirmalkar
2. 2. RANDOM EXPERIMENTS An random experiments is an process which producesoutcomes.If we toss a fair coin we may obtain either a head or atail so, tossing this fair coin is an experiment which canproduce two out comes, either head or tail.
3. 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 thesample space is called an elementary or simple event.Events which consist of more than one outcome arecalled compound events.If the experiment is to roll a die, an event can bedefinedas obtaining a (1,2,3,4,5,6) an the upper face of thedice.
4. 4. SAMPLE SPACESample space is a set of all possible outcomes of anexperiment. It’s denoted by S.If a single die rolling experiment, The sample spacewill be –S = {1,2,3,4,5,6}Experiment Tossing a coin: Sample space S = {Heads, Tails}