Sample Space Definition

Sample space informally the sample space for a given set of events is the set of all possible values the events may assume.

Sample space definition. A spinner has 4 equal sectors colored yellow blue green and red. Sample space definition the collection of all possible results of an experiment represented as points. In probability theory the sample space also called sample description space or possibility space of an experiment or random trial is the set of all possible outcomes or results of that experiment. Illustrated definition of sample space.

These are what we call random phenomena or random experiments. The sample space of experiment 1 is. A sample space is a collection or a set of all such possible outcomes is known as a sample space of the experiment and is normally denoted by s. For our die rolling experiment we can write the sample space as.

S 1 2 3. For this example the sample space could only consider certain features of the cards such as rank or suit. Formally the set of possible events for a given random variate forms a sigma algebra and sample space is defined as the largest set in the sigma algebra. For an experiment of drawing from a standard deck of cards the sample space is the set that lists all 52 cards in a deck.

The sample space of an experiment is the set of all possible outcomes of that experiment. A sample space is usually denoted using set notation and the possible ordered outcomes are listed as elements in the set. All the possible outcomes of an experiment. Now we have two more questions.

It may have a number of outcomes that usually depends on ob the experiment but if it has a finite set of numbers then it is called a discrete or finite sample space. Sample space and events there are lots of phenomena in nature like tossing a coin or tossing a die whose outcomes cannot be predicted with certainty in advance but the set of all the possible outcomes is known. The set whose members are all possible outcome of a random experiment is called the sample space for that experiment.