"Events are independent when the happening of any one of them does neither increase nor abate the probability of the rest." (Thomas Bayes, "An Essay towards solving a Problem in the Doctrine of Chances", 1763)
"Given the number of times in which an unknown event has happened and failed: Required the chance that the probability of its happening in a single trial lies somewhere between any two degrees of probability that can be named." (Thomas Bayes, "An Essay towards solving a Problem in the Doctrine of Chances", 1763)
"If in consequence of certain data there arises a probability that a certain event should happen, its happening or failing, in consequence of these data, I call its happening or failing in the 1st trial. And if the same data be again repeated, the happening or failing of the event in consequence of them I call its happening or failing in the 2d trial; and so on as often as the same data are repeated." (Thomas Bayes, "An Essay towards solving a Problem in the Doctrine of Chances", 1763)
"[...] the probability of any event is the ratio between the value at which an expectation depending on the happening of the event ought to be computed, and the value of the thing expected upon it's happening." (Thomas Bayes, "An Essay towards solving a Problem in the Doctrine of Chances", 1763)
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