Random Experiments




In our day to day life, we perform many activities which have a fixed result no matter any number of times they are repeated. For example given any triangle, without knowing the three angles, we can definitely say that the sum of measure of angles is 180°. 
We also perform many experimental activities,  For example, when a coin is tossed it may turn up a head or a tail, but we are not sure which one of these results will actually be obtained. Such experiments are called random experiments.  
An experiment is called random experiment if it satisfies the following two conditions:  
(i) It has more than one possible outcome. 
(ii) It is not possible to predict the outcome in advance. 

Outcomes and sample space:
A possible result of a random experiment is called its outcome. 
Consider the experiment of rolling a die. The outcomes of this experiment are 1, 2, 3, 4, 5, or 6, if we are interested in the number of dots on the upper face of the die. 
The set of outcomes {1, 2, 3, 4, 5, 6} is called the sample space of the experiment. 
Thus, the set of all possible outcomes of a random experiment is called the sample space associated with the experiment. 
Sample space is denoted by the symbol S. Each element of the sample space is called a sample point. 
In other words, each outcome of the random experiment is also called sample point. 

If you would like to contribute notes or other learning material, please submit them using the button below.

Shaalaa.com | Random Experiment & Sample space


Next video


Random Experiment & Sample space [00:39:30]


      Forgot password?
Use app×