Well no, it’s not impossible, but the chance of it happening is obviously 2^-N, where N is the number of bits required to specify the state. It follows that if you have 2^N states, you will get lucky and extract useful work once; which is, of course, the same amount of useful work you would get from 2^N states anyway, whether you’d made a guess or not. Even on the ignorance model of entropy, you cannot extract anything useful from randomness!
Well no, it’s not impossible, but the chance of it happening is obviously 2^-N, where N is the number of bits required to specify the state. It follows that if you have 2^N states, you will get lucky and extract useful work once; which is, of course, the same amount of useful work you would get from 2^N states anyway, whether you’d made a guess or not. Even on the ignorance model of entropy, you cannot extract anything useful from randomness!