Sample Space Math Definition

The set whose members are all possible outcome of a random experiment is called the sample space for that experiment.

Sample space math definition. All the possible outcomes of an experiment. For our die rolling experiment we can write the sample space as. P head 1 2 p tail 1 2 definition. A sample space is the set of all possible outcomes in the experiment.

S 1 2 3. Choosing a card from a deck there are 52 cards in a deck. Head tail experiment 2. For the experiment of rolling n six sided dice where n is a positive whole number the sample space consists of 6 n elements.

Ways to determine sample space include drawing a tree diagram or using the multiplication principle where the number of possibilities in each set of choices are multiplied together for example. A sample space is usually denoted using set notation and the possible ordered outcomes are listed as elements in the set. For the experiment of rolling three six sided dice the sample space consists of the set of the 216 possible triples of the numbers 1 2 3 4 5 and 6. All the possible outcomes of an experiment.

The sample space is a basic term in the theory of probability. Illustrated definition of sample space. You may have noticed that for each of the experiments above the sum of the probabilities of each outcome is 1. Illustrated definition of sample space.

The sample space of an experiment is the set of all possible outcomes of that experiment. The sample space of experiment 1 is. A spinner has 4 equal sectors.