Nothing Special   »   [go: up one dir, main page]

Probability: Sample Space

Download as docx, pdf, or txt
Download as docx, pdf, or txt
You are on page 1of 1

PROBABILITY In a probabilistic experiment, a sample point is

one of the possible outcomes of the


Probability is a branch of mathematics that experiment. The set of all sample points is
deals with calculating the likelihood of a given called sample space.
event's occurrence, which is expressed as a
number between 1 and 0. An event with a Definition Of Event
probability of 1 can be considered a certainty: An Event is a one or more outcome of an
for example, the probability of a coin toss experiment.
resulting in either "heads" or "tails" is 1, Example of Event
because there are no other options, assuming When a number cube is rolled, 1, 2, 3, 4, 5,
the coin lands flat. An event with a probability or 6 is a possible event.
of .5 can be considered to have equal odds of When you roll a number cube and toss a
coin at the same time, a possible event is a
occurring or not occurring: for example, the
3 and a tail respectively.
probability of a coin toss resulting in "heads" is
Definition Of Outcome
.5, because the toss is equally as likely to result A possible result of a probability experiment
in "tails." An event with a probability of 0 can be is called an outcome
considered an impossibility: for example, the Examples of Outcome
probability that the coin will land (flat) without Head is a possible outcome when a coin is
either side facing up is 0, because either tossed.
"heads" or "tails" must be facing up. A little 6 is a possible outcome when a number
paradoxical, probability theory applies precise cube is rolled.
calculations to quantify uncertain measures of An experiment is modeled as a probability
random events. space with each outcome being a point in
the sample space. There's nothing in the
Sample Space definition of a probability space that
indicates that the experiment should be
Sample space is the collection of all certain infinitely repeatable. Even an experiment
outcomes of an experiment. A process that hypothetically can only be repeated a
which produce a set of data is known as finite number of times could be correctly
an experiment and a set of all possible modeled as a probability space, regardless
outcomes of an experiment is called of whether its sample space is finite or not.
the sample space. It is denoted
by S. Sample points are the element of
sample space which simulate the
experiment in terms of the sample space.
To know the probability of an event to occur
it is needed to know the the total number of
events in the sample space, that is, all the
possible events should be known.
Experiment 2: Tossing a die
Possible outcomes are the numbers 1,
2, 3, 4, 5, and 6
Sample space, S = {1, 2, 3, 4, 5, 6}.

Sample point
by Marco Taboga, PhD

You might also like