Imagine Alice and Bob would like to know if they are in possession of identical symmetric key. Alice intends to check this by introducing some random message and performs XOR with the key she has before sharing the ciphertext to Bob who then performs XOR to the received ciphertext with the key in his possession and resend the outcome to Alice (beware that both Alice and Bob did not share their keys except the ciphertexts). Provide an analysis if this method is suitable to determine if they both have the same keys or otherwise. [10 marks]