Random Experiment, Sample Space, Events

1. QUANTITATIVE METHODS FOR MANAGEMENT Presentation on RANDOM EXPERIMENT, SAMLPE SPACE AND EVENTS Prsented by:- Sandeep Rai Shailendra Tiwari Sandeep Patel Ajay kumar Nirmalkar INSTITUTE OF PROFESSIONAL EDUCATION & RESEARCH, BHOPAL SUBMITTED TO- Prof. Vaibhav Lowelkar

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}