Search results
Results from the WOW.Com Content Network
However, the conclusion that the sun is equally likely to rise as it is to not rise is only absurd when additional information is known, such as the laws of gravity and the sun's history. Similar applications of the concept are effectively instances of circular reasoning , with "equally likely" events being assigned equal probabilities, which ...
[18]: 274–275 The result of this is that every possible combination of individuals who could be chosen for the sample has an equal chance to be the sample that is selected (that is, the space of simple random samples of a given size from a given population is composed of equally likely outcomes).
The classical definition of probability works well for situations with only a finite number of equally-likely outcomes. This can be represented mathematically as follows: If a random experiment can result in N mutually exclusive and equally likely outcomes and if N A of these outcomes result in the occurrence of the event A , the probability of ...
The entropy is maximized at 1 bit per trial when the two possible outcomes are equally probable, as in an unbiased coin toss. If one transmits 1000 bits (0s and 1s), and the value of each of these bits is known to the receiver (has a specific value with certainty) ahead of transmission, it is clear that no information is transmitted.
For example, when tossing an ordinary coin, one typically assumes that the outcomes "head" and "tail" are equally likely to occur. An implicit assumption that all outcomes are equally likely underpins most randomization tools used in common games of chance (e.g. rolling dice, shuffling cards, spinning tops or wheels, drawing lots, etc.).
ABC News and star anchor George Stephanopoulos have agreed to pay President-elect Trump $16 million to settle a defamation lawsuit. The settlement was publicly filed Saturday, just days before the ...
Even if a random variable has more than k possible outcomes, the perplexity will still be k if the distribution is uniform over k outcomes and zero for the rest. Thus, a random variable with a perplexity of k can be described as being "k-ways perplexed," meaning it has the same level of uncertainty as a fair k-sided die.
(Reuters) -The Louisiana Department of Health said on Friday it has detected the first presumptive positive human case of H5N1 bird flu infection in the U.S. state.