I'm trying to solve a question about one time pads but I'm not sure if my assumptions are correct.
I am to assume that I have a one time pad with perfect secrecy. This one time pad is used to encrypt a message of 7 bits in length (message space size is 2^7). This encryption yields a ciphertext of "0110011". What is the probability that the encrypted message was "1001001".
My understanding of one time pads is that if we assume the pad has perfect secrecy, then we can no nothing about the message given the ciphertext and thus we cannot determine the probability. Am I right in my assumption?