The set of all possible outcomes of an experiment is called as?

Sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment.

Answer: The set of all possible outcomes of an experiment is called sample space.

Let's look into an example to understand this

Explanation:

Sample space, in probability, is referred to as the collection of all possible outcomes in any random experiment. It is denoted by "S".

Consider an example of flipping two coins simultaneously.

We know that the sample space of flipping a single coin is {Head, Tail} which gives |S| = 2

When the two coins are flipped simultaneously, all the possibilities for coin 1 and coin 2 will be:

Coin 1 Coin 2
Head Head
Head Tail
Tail Head
Tail Tail

 

 

 

 

Hence, the sample space will be {(Head, Head), (Head, Tail), (Tail, Head), (Tail, Tail)} = 4 possible outcomes

Thus, the set of all possible outcomes of an experiment is called sample space.

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