The probability of each outcome is 1/2 • 1/2 • 1/2 = 1/8. Any subset of possible outcomes for an experiment is known as an event. While it is often impossible to sample an entire population of organisms, you can make valid scientific arguments about a population by sampling a subset. The Sample Space of an statistical experiment is the set of all possible outcomes and is generally represented by an alphabet S. A sample space is usually denoted using set notation, and the possible outcomes are listed as elements in the set. Example 1: If a die is rolled, the sample space S is given by S = {1,2,3,4,5,6} Example 2: If two coins are tossed, the sample space S is given by S = {HH,HT,TH,TT} , where H = head and T = tail. If an event has more than one possible outcome, the event is called a compound event. Mary Robinson 6,478 views. For example; When we toss a coin, the sample space is and each of the elements H (head) and T (tail) is a sample point. A … sample space will have 52 options so N (S) = 52. For a multi-step experiment, a tree diagram can be used to determine the members of a sample space. Possible outcomes are P, A 1, S, C, A 2 and L. Sample space, S = {P, A 1, S, C, A 2 L}. For example two coins, two dice etc… Sample Space = {heads, tails} Example 2: Two six-sided dice are rolled. While it is often impossible to sample an entire population of organisms, you can make valid scientific arguments about a population by sampling a subset. Probability is focused on the chance of one particular event from the sample space occurring.. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. When dealing with probability, every experiment has a set of possible outcomes, called the sample space. Sample Space and Events. We live in a day and age where choices bombard us on things that were not available to us years ago. A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. In an experiment, a card is picked from a stack of six cards, which spell the word PASCAL.

Today there are hundreds of different phones available for consumers to purchase. The sample space is the set of all possible outcomes in an experiment. 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. Thus, we need an appropriate sample size so that we can make inferences about the population based on that sample.