OK I just asked the world's greatest math geek and he agrees that the answer to #4 is 1/16, making the answer on the paper wrong.
EDIT: I would also like to add something about #3. Don't be fooled by a question like this:
If you flipped a coin ten times, which H/T pattern is more likely:- H H H H H T T T T T
- H H T H T T H T T H
They are both equally likely because it is a specific pattern. Just because B looks more random does not make it specifically more likely. Getting one that APPEARS TO BE RANDOM is more likely however.