Classical Definition of Probability

Probability Events and Types of Events In Probability With Examples

28 Classical probabilities (a) Show that the classical probability density describing a particle in an infinite square well of dimension L is given by P(x) = (1/L) for 0 ≤ x ≤ L, and P(x) = 0 for x L. Determine the classical probability of finding the particle in dx at time t. (b) Find the classical probability of finding the particle in the range (a, b) at time t. (c) Calculate the classical mean position and the classical standard deviation of the particle in the well.