Probability interpretations
（重定向自Probability interpretation）
![The classical definition of probability works well for situations with only a finite number of equally-likely outcomes.](/Images/godic/202502/04/Dice2844.jpg")
![For frequentists, the probability of the ball landing in any pocket can be determined only by repeated trials in which the observed result converges to the underlying probability in the long run.](/Images/godic/202502/04/Roulette_wheel2844.jpg")
![Gambling odds reflect the average bettor's 'degree of belief' in the outcome.](/Images/godic/202502/04/Tokyo_Racecourse_32844.jpg")
The word probability has been used in a variety of ways since it was first applied to the mathematical study of games of chance. Does probability measure the real, physical tendency of something to occur or is it a measure of how strongly one believes it will occur, or does it draw on both these elements? In answering such questions, mathematicians interpret the probability values of probability theory.