Sample Space Examples

A sample space may also be known as a event space or possibility space evans et al.

Sample space examples. Hh ht th and tt. So the sample space will. When we flip two coins together we have a total of 4 outcomes.

Sample space in statistics. But there are a few that are frequently used for examples in an introductory statistics or probability course. If you toss 3 coins n is taken as 3.

The fundamental counting principle is an important concept that can be used to. For the experiment of flipping a coin the sample space is heads tails. When we toss a coin there can be only two outcomes i e either head or tail.

H1 and t1 can be represented. Sometimes sample space is more difficult to determine so you can make a tree diagram or a list to help you figure out all the possible outcomes. You could roll a 1 2 3 4 5 or 6.

Below are the experiments and their corresponding sample spaces. Sample space s h 1 h 2 h 1 t 2 t 1 h 2 t 1 t 2 in general if you have n coins then the possible number of outcomes will be 2 n. Sample space of an event sample space is all the possible outcomes of an event.

Counting principle tree diagram. Therefore the possible number of outcomes will be 2 3 8 outcomes. For example the sample space of a toss of two coins each of which may land heads h or tails t is the set of all possible outcomes.