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Introduction On The Collection Of All Possible Outcomes Of An Experiment

Introduction on the collection of all possible outcomes of an expe:


The sample space or the universal sample space are regularly specified by S, O, or U (universe), of an experiment or random experiment which is the set of all possible outcomes in probability theory. An experiment constant under collection of homogeneous and the similar conditions outcome in a result, which is just exclusive or not exclusive but may be one of a number of possible outcomes. When the outcome comes exclusive then the random experiment is referred as deterministic experiment.

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Types of Collection of all Possible Outcomes of an Experiment


Random experiment

In any experiment the collection of all possible outcomes based in which outcomes cannot be predicted in such advance, but is one of the set of thepossible outcomes, it is referred as random experiment.

Trial

If we think an experiment as being to performed frequently, the collection each recurrence is called as trial. You observe an outcome for each trial.

Sample space

In a random experiment, the collection of all possible outcomes are known as the sample space, which connected with the random experiment.

Conditional probability

Let two events are R and S that related with a random experiment. The probability of any happening of event R when the event S has previously happened is called the conditional probability of event R when S is given and is referred as P(R/S).

An Example of the Collection of all Possible Outcomes of an Experiment

You decide to toss a coin 3 times and the outcomes of the each turn is the number of heads. The sample space in these cases is the different numbers of heads you could find that if you toss three times a coin. At this point you could obtain collection of outcomes as 0 heads, 1 heads, 2 heads or 3 heads, so you write the sample space as

Sample space = {0, 1, 2, 3}

Always remember to include the outcomes 0 -- if you toss a coin three times and obtain all tails, then a number of heads which is equal to 0.

by: Omkar Nayak
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