In a canonical ensemble, the probability of finding a particle in a particular energy state can be determined using the Boltzmann distribution. The Boltzmann distribution gives the probability of a particle being in a specific energy state E_i at a given temperature T.The probability P E_i can be calculated using the following formula:P E_i = 1/Z * e^-E_i / kT where:- E_i is the energy of the specific energy state- k is the Boltzmann constant approximately 1.38 x 10^-23 J/K - T is the temperature in Kelvin- Z is the partition function, which is a normalization factor ensuring that the sum of probabilities of all energy states is equal to 1. It is given by the sum of Boltzmann factors for all energy states:Z = e^-E_j / kT sum over all energy states j By calculating P E_i using the Boltzmann distribution, you can find the probability of a particle being in a particular energy state in a canonical ensemble at a given temperature.