Consider a game where you throw balls at a (virtual) object. Each time you throw the ball, you have a 1/16 chance of success at capturing the object (a) If you have 9 balls to throw, what is the probability that you capture the object? (you capture the object if at least one throw is successful) (b) Assume that one "game" allows you to throw k balls, and that the probability of a successful game (the object is captured) is 0.36. What is the expected number of games that you would need to play in order to have a successful game? (c) Using the same scenario as for (b), what is the expected number of successful games if you play 14 games