In this session, we dive deep into the *Uniqueness Theorem of the Moment Generating Function (MGF)* and explore how it plays a crucial role in probability theory. We'll understand why MGF uniquely determines a probability distribution and how this powerful tool simplifies solving problems related to the **Binomial Distribution**. Additionally, we will see how MGFs can be used to derive **recurrence relations**, making complex probability computations more manageable. Perfect for students preparing for competitive exams like ISS, RBI-DSIM, IIT-JAM, and ISI Entrance!