Chris and Juanita always go to the movies on Friday night. Before meeting for their date, they each make a decision (independently, without consulting) of what genre of movie they prefer to see. Chris prefers an adventure movie with probability 70% and a romance with probability 30%; Juanita chooses adventure with probability 34% and a romance with probability 66%.
a. What is the probability that their choices agree?
b. What is the probability that they both choose an adventure movie?