A person can be having a lucid dream without having any or little control over what's happening. Other times people can have a lucid dream and continue on until they start being able to change things around them, or start doing things in a dream that they wouldn't be able to do in real life, like flying. Lucid dreams and dream control is another great way example that could be used for problem solving in dreams. Some use lucid dreaming to prepare for situations in daily life, as there are really no restrictions as to what you can control in your dream/what you can dream
A person can be having a lucid dream without having any or little control over what's happening. Other times people can have a lucid dream and continue on until they start being able to change things around them, or start doing things in a dream that they wouldn't be able to do in real life, like flying. Lucid dreams and dream control is another great way example that could be used for problem solving in dreams. Some use lucid dreaming to prepare for situations in daily life, as there are really no restrictions as to what you can control in your dream/what you can dream