To determine the intensity from a beam passing through a Michelson Interferometer with a beam splitter that transmits 1/3 and reflects 2/3, start with the initial intensity I0. Light can take two paths, and each reflection reduces the intensity to 2/3 of the previous value, while each transmission reduces it to 1/3. By tracing both paths through the interferometer, the final intensity can be calculated based on these factors. The discussion emphasizes the importance of applying the correct multipliers for transmission and reflection at each interaction with the beam splitter. Understanding these principles is crucial for solving the problem accurately.