In$$ cryptography, ciphertext is encrypted or encoded text that is unreadable by a human or computer without the proper algorithm to decrypt it into plain text. The impact of erroneous ciphertexts on the performance of an encryption system was investigated in an information systems journal. For one data encryption$$ system, the probability of receiving an erroneous ciphertext is assumed to be $,$ where $0<<1.$ The researchers showed that if an erroneous ciphertext$$ occurs, the probability of an error in restoring plain text using the decryption system is $0\mathrm{.}55.$ When no error occurs in the received$$ ciphertext, the probability of an error in restoring plain text using the decryption system is $,$ where $0<<1.$ Use this information to give an expression for the probability of an error in restoring plain text using the decryption system.