Talk:History of probability

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In the Origins section, some of the material in the extended quote from "Games, Gods and Gambling" seems irrelevant (e.g. accounts of the solving of cubic equations). Can it be justified? RMGunton (talk) 11:50, 24 July 2013 (UTC)

Origins.
There are 25 ways of getting a 9 with 3 dice, and 27 ways, out of 216, to get a 10. Suppose the dice are 3 different colours (red, green and blue), therefore for every outcome with 3 different numbers there are 6 variations (521,512,251,215,152,125), with 1 pair there are 3 (522,252,225) and for 3-of-a-kind there is only 1 (333). If the dice are the same colour there would seem to be only 56 different outcomes of rolling 3 dice; 20 3 different number combinations :$$n(4,3,2,1)\sum_{k=1}^n k = 10+6+3+1,$$, 30 different pairs (6x5) (665,655,...) and 6 3-of-a-kind (666,555,...). A good way to win bets would be to wager on a pair versus a 3 different number outcome. If you disregard 3 of a kind it might look like a 3/5 versus 2/5 (60% - 40%) sucker bet, but there are actually 120 ways of rolling 3 different numbers and only 90 ways for a pair ignoring 3-of-a-kind that's 4/7 v 3/7. 50.64.119.38 (talk) 02:05, 16 October 2017 (UTC)

== has a dual aspect: on the one hand the likelihood of hypotheses given the evidence for them, and on the other hand the behavior of stochastic processes such as the throwing of dice or coins. The study of the former is historically older in, for example, the law of evidence, while the mathematical treatment of dice began with the work of Cardano, Pascal, Fermat and Christiaan Huygens between the 16th and 17th century. Probability is distinguished from statistics; see history of statistics. While statistics deals with data and inferences from it, (stochastic) probability deals with the stochastic (random) processes which lie behind data or outcomes ==

has a dual aspect: on the one hand the likelihood of hypotheses given the evidence for them, and on the other hand the behavior of stochastic processes such as the throwing of dice or coins. The study of the former is historically older in, for example, the law of evidence, while the mathematical treatment of dice began with the work of Cardano, Pascal, Fermat and Christiaan Huygens between the 16th and 17th century.

Probability is distinguished from statistics; see history of statistics. While statistics deals with data and inferences from it, (stochastic) probability deals with the stochastic (random) processes which lie behind data or outcomes 216.247.83.116 (talk) 15:22, 10 January 2023 (UTC)

Statistics
To know more information about Statistics see here 192.145.174.235 (talk) 05:04, 2 May 2023 (UTC)

suggestions
I propose ro formulate the difference between probability and statistics as follows: Probability deals wirh random experiments with a known distribution, Statistics deals wirh inference from the data about the unknown distribution.

The article "Geschichte der Wahrscheinlichkeitsrechning" in the German Wikipedia, which has the same topic, is much more detailed. It seems of interest to use it to improve the present article. Golf-ulk (talk) 09:13, 24 October 2023 (UTC)