What is the difference between sample space and outcomes?

An OUTCOME (or SAMPLE POINT) is the result of a the experiment. The set of all possible outcomes or sample points of an experiment is called the SAMPLE SPACE. An EVENT is a subset of the sample space. Example – A coin is tossed and the side noted and a card is drawn and the color noted.

What is the meaning of sample space in probability?

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. The elements of a sample space may be numbers, words, letters, or symbols.

What is the difference between sample and sample space?

In both Probability and Statistics, we refer to the (probability-theoretic) experiment of drawing a SAMPLE, size n, from a (statistical) POPULATION. The SAMPLE SPACE for this experiment is therefore the set of all n-element samples. If n = 1, then the sample space is the same as the population.

What is the difference between sample space and event space?

It’s sometimes confused with the sample space of an experiment, referred to usually by omega(Ω), but is different: while the sample space of an experiment contains all possible outcomes, the event space contains all sets of outcomes; all subsets of the sample space.

What is the sample space of outcomes?

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive (i.e., they cannot occur simultaneously).

What’s the meaning of sample space?

Definition of sample space : a set in which all of the possible outcomes of a statistical experiment are represented as points.

How do you define sample space?

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1.

What is a sample space example?

Sample space is all the possible outcomes of an event. Sometimes the sample space is easy to determine. For example, if you roll a dice, 6 things could happen. You could roll a 1, 2, 3, 4, 5, or 6.

What is sample space Class 10?

SAMPLE SPACE : The set of all possible outcomes in a trial is called sample space.

What is the sample space of an event how can you find the sample space of two or more events?

A sample space is S={a,b,c,d,e}. Identify two events as U={a,b,d} and V={b,c,d}. Suppose P(a) and P(b) are each 0.2 and P(c) and P(d) are each 0.1. Determine what P(e) must be.

What is the sample space of an experiment?