Final answer:
The probability of finding a particle in the ground state of the harmonic oscillator in the classically forbidden region is approximately 16%.
Step-by-step explanation:
The probability of finding a particle in the ground state of the harmonic oscillator in the classically forbidden region depends on the quantum nature of the particle. In a classical formulation, the particle would not have enough energy to be in this region. However, due to wave-particle duality and quantum fluctuations, there is a non-zero probability of finding the particle in the classically forbidden region. The probability of finding a ground-state quantum particle in this region is approximately 16%.