...that we have succeeded, without ever realising what we are doing. PROBABILITY Laplace's principle that 'the probability of an event is the ratio of the number of cases which favour it to the number of all the possible cases, when nothing leads us to believe that...

...[Oeuvres, vn, p. viiij. On the first page of Book u, we have, One has seen in the Introduction that the probability of an event is the ratio of the number of cases that are favourable to it, to the number of possible cases, when there is nothing to make us...

...the actual development of probability theory begins in Volume 2. The first sentence of Volume 2 is: "The probability of an event is the ratio of the number of cases favorable to it, to the number of all cases possible when nothing leads us to expect that any...

...analysis. For such situations Laplace suggested the following definition of epistemic probability: The probability of an event is the ratio of the number of cases that are favorable to it, to the number of possible cases, when there is nothing to make us believe...

...Chance by Thomas Simpson in 1740. It was Laplace, in 1814, who first gave the classical definition: The probability of an event is the ratio of the number of cases favourable to it to the number of possible cases, when there is nothing to make us believe that...

...employed to measure probability? A very generally accepted view is that which Laplace has thus expressed: "The probability of an event is the ratio of the number of cases which favour it to the number of all the possible cases, when nothing leads us to believe that...

...Probability If an experiment has a set of distinct outcomes, each of which is equally likely, then the probability of an event is the ratio of the number of outcomes to the total number of possible outcomes. » Picking a card from a deck of cards has 52 distinct...

...advance. Frequentist interpretation of probability: That school of probability interpretation that says the probability of an event is the ratio of the number of times the event is observed to the number of trials. Independent events: Two events are independent...

...general formulation will now be given. Example 4. A classical enunciation of probability runs as follows. The probability of an event is the ratio of the number of cases favorable to that event to the total number of cases, provided that all these are equally likely...

...of possible outcomes), for example, the probability of the event {HHT, HTT, TTT} is 3/8. In general, the probability of an event is the ratio of the number of possible events divided by the total number of events that could occur, termed the state space. If...