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Other Words from random Adjective randomly adverb. Choose the Right Synonym for random Adjective random , haphazard , casual mean determined by accident rather than design.

Examples of random in a Sentence Adjective a random sequence of letters A random sample of doctors from around the country were selected for the study.

We tasted the wines in random order and then rated each. Pick a random word on the page. The computer program generates a list of random numbers.

So I use the list randomizer on this app. Randomly picking the order each day offers me the best assurance that my practice of these exercises will be evenly distributed in the long run.

It also gives me a little boost of excitement as compared with taking things in a predetermined order. Also, I agree with the person who said that it is a bit unreliable in the latest OS of Requires iOS 9.

Compatible with iPhone, iPad, and iPod touch. App Store Preview. Description All randomness wasn't created equal. Oct 2, Version 2.

According to Ramsey theory , ideal randomness is impossible especially for large structures. For example, professor Theodore Motzkin pointed out that "while disorder is more probable in general, complete disorder is impossible".

The fields of mathematics, probability, and statistics use formal definitions of randomness. In statistics, a random variable is an assignment of a numerical value to each possible outcome of an event space.

This association facilitates the identification and the calculation of probabilities of the events. Random variables can appear in random sequences.

A random process is a sequence of random variables whose outcomes do not follow a deterministic pattern, but follow an evolution described by probability distributions.

These and other constructs are extremely useful in probability theory and the various applications of randomness. Randomness is most often used in statistics to signify well-defined statistical properties.

Monte Carlo methods , which rely on random input such as from random number generators or pseudorandom number generators , are important techniques in science, particularly in the field of computational science.

Random selection , when narrowly associated with a simple random sample , is a method of selecting items often called units from a population where the probability of choosing a specific item is the proportion of those items in the population.

Note that a random selection mechanism that selected 10 marbles from this bowl would not necessarily result in 1 red and 9 blue.

In situations where a population consists of items that are distinguishable, a random selection mechanism requires equal probabilities for any item to be chosen.

That is, if the selection process is such that each member of a population, say research subjects, has the same probability of being chosen, then we can say the selection process is random.

In ancient history, the concepts of chance and randomness were intertwined with that of fate. Many ancient peoples threw dice to determine fate, and this later evolved into games of chance.

Most ancient cultures used various methods of divination to attempt to circumvent randomness and fate. The Chinese of years ago were perhaps the earliest people to formalize odds and chance.

The Greek philosophers discussed randomness at length, but only in non-quantitative forms. It was only in the 16th century that Italian mathematicians began to formalize the odds associated with various games of chance.

The invention of calculus had a positive impact on the formal study of randomness. In the edition of his book The Logic of Chance , John Venn wrote a chapter on The conception of randomness that included his view of the randomness of the digits of pi , by using them to construct a random walk in two dimensions.

The early part of the 20th century saw a rapid growth in the formal analysis of randomness, as various approaches to the mathematical foundations of probability were introduced.

In the mid- to lateth century, ideas of algorithmic information theory introduced new dimensions to the field via the concept of algorithmic randomness.

Although randomness had often been viewed as an obstacle and a nuisance for many centuries, in the 20th century computer scientists began to realize that the deliberate introduction of randomness into computations can be an effective tool for designing better algorithms.

In some cases, such randomized algorithms even outperform the best deterministic methods. In the 19th century, scientists used the idea of random motions of molecules in the development of statistical mechanics to explain phenomena in thermodynamics and the properties of gases.

According to several standard interpretations of quantum mechanics , microscopic phenomena are objectively random. For example, if a single unstable atom is placed in a controlled environment, it cannot be predicted how long it will take for the atom to decay—only the probability of decay in a given time.

Hidden variable theories reject the view that nature contains irreducible randomness: such theories posit that in the processes that appear random, properties with a certain statistical distribution are at work behind the scenes, determining the outcome in each case.

The modern evolutionary synthesis ascribes the observed diversity of life to random genetic mutations followed by natural selection. The latter retains some random mutations in the gene pool due to the systematically improved chance for survival and reproduction that those mutated genes confer on individuals who possess them.

Several authors also claim that evolution and sometimes development requires a specific form of randomness, namely the introduction of qualitatively new behaviors.

Instead of the choice of one possibility among several pre-given ones, this randomness corresponds to the formation of new possibilities.

The characteristics of an organism arise to some extent deterministically e. For example, the density of freckles that appear on a person's skin is controlled by genes and exposure to light; whereas the exact location of individual freckles seems random.

As far as behavior is concerned, randomness is important if an animal is to behave in a way that is unpredictable to others. For instance, insects in flight tend to move about with random changes in direction, making it difficult for pursuing predators to predict their trajectories.

The mathematical theory of probability arose from attempts to formulate mathematical descriptions of chance events, originally in the context of gambling , but later in connection with physics.

Statistics is used to infer the underlying probability distribution of a collection of empirical observations. For the purposes of simulation , it is necessary to have a large supply of random numbers —or means to generate them on demand.

Algorithmic information theory studies, among other topics, what constitutes a random sequence. The central idea is that a string of bits is random if and only if it is shorter than any computer program that can produce that string Kolmogorov randomness , which means that random strings are those that cannot be compressed.

For the notion of infinite sequence, one normally uses Per Martin-Löf 's definition. That is, an infinite sequence is random if and only if it withstands all recursively enumerable null sets.

The other notions of random sequences include, among others, recursive randomness and Schnorr randomness, which are based on recursively computable martingales.

It was shown by Yongge Wang that these randomness notions are generally different. Randomness occurs in numbers such as log 2 and pi. The decimal digits of pi constitute an infinite sequence and "never repeat in a cyclical fashion.

Pi certainly seems to behave this way. In the first six billion decimal places of pi, each of the digits from 0 through 9 shows up about six hundred million times.

Yet such results, conceivably accidental, do not prove normality even in base 10, much less normality in other number bases.

In statistics, randomness is commonly used to create simple random samples. This allows surveys of completely random groups of people to provide realistic data that is reflective of the population.

Common methods of doing this include drawing names out of a hat, or using a random digit chart a large table of random digits. In information science, irrelevant or meaningless data is considered noise.

Noise consists of numerous transient disturbances, with a statistically randomized time distribution. In communication theory , randomness in a signal is called "noise", and is opposed to that component of its variation that is causally attributable to the source, the signal.

The random walk hypothesis considers that asset prices in an organized market evolve at random, in the sense that the expected value of their change is zero but the actual value may turn out to be positive or negative.

More generally, asset prices are influenced by a variety of unpredictable events in the general economic environment. Random selection can be an official method to resolve tied elections in some jurisdictions.

Randomness can be seen as conflicting with the deterministic ideas of some religions, such as those where the universe is created by an omniscient deity who is aware of all past and future events.

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