Frisco said:
It the FBI/US Government were unable to break your security and unable to get into your computer it wouldn't matter. A judge would force you to give up your password. Until you did you would be in contempt of court and be in jail.
What country do you live in?
I know currently the United States has **** on its own constitution, but the 5th amendment would allow you to not incriminate yourself in any matter... including providing a password which would help the government in prosecuting you.
If your secure your data well enough, its the governments job to get to it... whether that means they hack the hell out of it or do some sort of forensics on it.
Now, the one thing you have to remember is even though you do not have to give up your password, they would probably end up keeping the laptop as evidence or something of that sort. But hey, if your data is that precious, it may be worth it.
Some people jump to the conclusion that anyone wanting to hide data from the US government must be a pedophile or terrorist or something to that extreme... I argue that in this day and age and the current lack of rights we (including myself) as americans have means no chances should be taken on what might be illegal tomorrow, or what might become illegal at the moment (if a laptop is looked through, they want information from you, so they make some BS case against you based on some 18th century goat farmer law that they can pull from the books.
Liberty favors the prepared.