Yes but the odds of A getting the right answer from picking randomly are even lower. ;)
Remember person A was defined in this example as having a better map on this little spot, though I suppose most of the analysis done by people so far works equally well for someone who thinks he has a better map and is hiding it.
So Person A believes in MWI because they read the Quantum Mechanics sequence, and Person B never thought about it beyond an article in Discover Magazine saying all the top scientists favor the Copenhagen interpretation. They're both being entirely rational about the information they have, even if Person A has the right answer :)
This is thread where I'm trying to figure out a few things about signalling on LessWrong and need some information, so please immediately after reading about the two individuals please answer the poll. The two individuals:
A. Sees that an interpretation of reality shared by others is not correct, but tries to pretend otherwise for personal gain and/or safety.
B. Fails to see that an interpretation of reality is shared by others is flawed. He is therefore perfectly honest in sharing the interpretation of reality with others. The reward regime for outward behaviour is the same as with A.
To add a trivial inconvenience that matches the inconvenience of answering the poll before reading on, comments on what I think the two individuals signal,what the trade off is and what I speculate the results might be here versus the general population, is behind this link.