probability,experiment,favourable,unfavourable,all possible,biased,unbiased,mutually exclusive,exhaustive,elementary,simple,compound,conditional,dependent,independent,events,choices,conditional,addition,multiplication,bayes,theorem,probability

Deterministic and Random Experiment

probability,experiment,favourable,unfavourable,all possible,biased,unbiased,mutually exclusive,exhaustive,elementary,simple,compound,conditional,dependent,independent,events,choices,conditional,addition,multiplication,bayes,theorem,probability
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Experiment

The act of conducting a controlled test or investigation. The experiment results in something. The possible results of an experiment may be one or more. Based on the number of possible results in an experiment, we can group the experiments into two.
  1. Deterministic Experiment:

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    The Experiments which have got only one possible result or outcome i.e. whose result is certain or unique are called deterministic or predictable experiments.

    The result of these experiments is predictable with certainity and the result is known prior to its conduct. This approach stipulates that the conditions under which the experiment is conducted would determine its result.

    Eg:

    The experiments that we conduct to verify the laws of science or established laws of other areas are the best examples for these.
    1. An Experiment conducted to verify the Newton's Laws of Motion.
    2. An Experiment conducted to verify the Economic Law of Demand.

  2. Probabilitic Experiment:

    Experiments whose result is uncertain are called indeterministic or unpredictable or Probabilistic experiments.

    There are more than one possible results or outcomes and the actual result in a particular conduction of the experiment would be one of those possible results.

    Whatever may be the conditions under which we conduct the experiment, the result would be one of the possible results. We cannot ensure a certain result by performing the experiment under certain conditions in a certain method.

    The quantitative measure of certainity in relation to one or more outcomes of these expermients is what we call "Probability".

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At Random:-

  1. With out giving preference or priority to any case i.e. with out any bias for any case.
  2. Lacking any definite plan or order or purpose; governed by or depending on chance

Random Experiment:

An Experiment whose result is uncertain i.e. a random experiment is a probabilistic experiment. The experiment results in two or more outcomes. The result/outcome of the experiment would be one of the possible outcomes but cannot be predicted prior to its conduct.

The different possible outcomes of the experiment can be known or assessed. But it would not be possible to predict the occurance of a particular outcome at any particular execution of the experiment.

Example

  1. The Experiment of tossing a coin

    There are two possible outcomes i.e. getting a Head or a getting a Tail. Though we know the two possible outcomes, we cannot for sure predict that we can get a tail if we throw the coin in a particular manner and so on..
    Coin Obverse [HEAD]Coin Reverse [TAIL]
  2. The Experiment of rolling a die

    There are six possibe outcomes i.e. the die showing up 1, the die showing up 2, ... , the die showing up 6.
    Six Faces of the Dice

Author Credit : The Edifier ... Continued Page 3

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