Random experiments
Random experiments

"Random experiments" explains about the idea of random experiment in statistics with random experiment definition and examples of random experiments further random experiment definition in probability


Random experiment


Random experiment definition is simple and easy to understand that we can describe as

any activity that we perform is experiment and an experiment that repeated a large numbers of time in similar way and gives different results is random experiment.


We can explain random experiment in statistics with simple examples of coin and dice, that are very common and simple examples of random experiments.


Random experiment definition in probability is to be defined as the probability Experiment Process which leads to well-defined results call outcomes


Outcome: 

The result of a single trial of a probability experiment


Sample Space:

 Set of all possible outcomes of a probability experiment


Event: 

One or more results or outcomes of a probability experiment.


For the examples of random experiments we select coin example. 

If we toss 3 coin at a time, that are repeated in a similar way 

Then we have a sample space, where all possible outcomes happened.

S = {(HHH), (HHT), (HTH), (THH), (TTH), (THT), (HTT), (TTT)}


If the Event is result or outcome of probability experiment then if we say that probability of no head occur then event is no head and all are tail. then 3 tail occur. So occurrence of only tail is an event. Now the chances of occurrance is only one according to the whole sample space. 

n(no head) = n(TTT) = 1


            Best Of Luck 🥰