2006-09-24 02:26:18 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Probability theory is the mathematical study of probability.
Mathematicians and actuaries think of probabilities as numbers in the closed interval from 0 to 1 assigned to "events" whose occurrence or failure to occur is random. Probabilities P(A) are assigned to events A according to the probability axioms.
The probability that an event A occurs given the known occurrence of an event B is the conditional probability of A given B; its numerical value is P(A∩B) / P(B) (as long as P(B) is nonzero). If the conditional probability of A given B is the same as the ("unconditional") probability of A, then A and B are said to be independent events. That this relation between A and B is symmetric may be seen more readily by realizing that it is the same as saying P(A∩B) = P(A)P(B) when A and B are independent events.
Two crucial concepts in the theory of probability are those of a random variable and of the probability distribution of a random variable;
2006-09-24 02:36:37 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Probability is basically the same as the laws of average. If something if likely to happen, that is a probability. You can base a theory on the rules of probability, such as in weather, that if certain things regularly happen through statistical information, it will probably happen again. In the laws of average, if you throw a pound of butter at a ten foot thick wall, often enough, one will go through it. Probably not, but in theory, yes.............
2006-09-24 02:47:15 · answer #2 · answered by thomasrobinsonantonio 7 · 0⤊ 0⤋
Theoretical probability is the ratio of the number of ways the event can occur to the total number of possibilities in the sample space.
2006-09-24 02:28:41 · answer #3 · answered by 2-point-answer 2 · 0⤊ 0⤋
The chance that a particular phenomenon will take place.Probability attempts to quantify this chance. If you toss a coin, the chance of a head is 1/2,because there are only two probable outcomes-head and tail and they are equally likely.
2006-09-24 02:42:23 · answer #4 · answered by somenathsengupta 2 · 0⤊ 0⤋
the main effective distinction between experimental and theoretical possibility is that experimental possibility demands easily records and experiments, at the same time as theoretical possibility is in keeping with reasoning. the maths at the back of the two are the same. The greater effective the form of experiments (turn of a coin, or drawing a card), the greater effective the possibility that the experimental and theoretical possibilities would be close.
2016-12-18 15:59:52 · answer #5 · answered by lorrie 4 · 0⤊ 0⤋
in order, first comes the theoretical probability then comes the experimental probability.
Its the untested expermental probability.
2006-09-24 03:52:37 · answer #6 · answered by Sherman81 6 · 0⤊ 0⤋