Learning Goal: Solve complex probability problems using a variety of methods Learning Goal: Use diagrams to solve counting problems Choose only one problem to solve from the list below. The maximum level for the question is shown above it. Level 3 Level 4+ Given a bag of 6 minifigures, 2 of each: On a given day, there is a 40% chance that Ms. Kelly will watch "The Empire Strikes Back". If she watches the movie, there is a 80% chance of her becoming annoyingly energetic. If she does not watch the movie, there is a 70% chance of her becoming annoyingly energetic. a) Draw a tree diagram to show the probability of all events (Level 1+) b) What is the probability that Ms. Chewy Darth Vader Princess Leia Kelly watches the movie and is annoyingly energetic? (Level 2+) a) Create and solve a question that c) What is the probability that Ms. requires two independent events. Kelly is not annoyingly energetic? Explain in words why the two events (Level 3+) are independent. d) Given that Ms. Kelly is annoyingly Illustrate this case using a tree diagram energetic, she watch "The Empire b) Create and solve a question that Strikes Back"? (Level 4+: for all the requires two dependent events. Explain cookies) in words why the two events are independent. Illustrate this case using a tree diagram