I'm 99.99999% (if we round that's 100%) sure that it does not, and that they have a 25% chance no matter what.
This may be circular reasoning here, a math whiz can clarify, but my proof would be something like this.
Assuming they eliminate their first instinctive guess because it is wrong 75% of the time (and were correct that their first guess was wrong), they would have a 1/3 chance of getting the answer correct. If we take that 1/3 likelihood, and multiply it by the 3/4 chance that his first assumption had of being correct, we end up right back where we started at 25%.
And on a similar topic, this tripped me out in 8th grade when I learned, but its a fun little math trick on the mind.
http://montyhallproblem.com/