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# 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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