This work presents an intuition-driven approach to understanding quantum entanglement, addressing the gap between formal mathematical treatments and physical interpretation. Starting with the conceptual basis of qubit superposition, the formation of entangled states is derived and explained using an intuitive coin-flip analogy. State-preparation circuits for both Bell and Greenberger-Horne-Zeilinger (GHZ) states are demonstrated. The methods are implemented in Qiskit, enabling both computational execution and state visualization. This approach aims to strengthen conceptual clarity while enabling practical engagement with entangled-state synthesis.