Probability | Wikipedia audio article
Channel: wikipedia tts
Date: 25/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Probability


00:01:19 1 Interpretations
00:03:45 2 Etymology
00:04:19 3 History
00:10:16 4 Theory
00:11:28 5 Applications
00:13:40 6 Mathematical treatment
00:16:00 6.1 Independent events
00:16:48 6.2 Mutually exclusive events
00:17:53 6.3 Not mutually exclusive events
00:20:44 6.4 Conditional probability
00:22:32 6.5 Inverse probability
00:24:32 6.6 Summary of probabilities
00:26:26 7 Relation to randomness and probability in quantum mechanics
00:26:35 8 See also
00:28:56 9 Notes
00:29:30 10 Bibliography
00:29:38 11 External links
00:30:32 External links



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SUMMARY
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Probability is the measure of the likelihood that an event will occur. See glossary of probability and statistics. Probability quantifies as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability  of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).
These concepts have been given an axiomatic mathematical formalization in probability theory, which is used widely in such areas of study as mathematics, statistics, finance, gambling, science (in particular physics), artificial intelligence/machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.