Kristen has a chance to go to Berlin and/or Paris this summer. The probability that she goes to Paris is 0.3. The probability that she goes to both places is 0.2. The probability of that she goes to at least one of the places is 0.55. Define the following

What is the probability that Kristen goes to Berlin

Are the two events independent? Are the two events mutually exclusive?

What is the probability that Kristen goes to Paris given that she goes to Berlin