What is the probability that Rhonda plays goalie and Kelly does not score a goal in the game? D) Suppose we know that Kelly scored a goal in the game. What is the probability that Brittany was the goalie? Round your answer to the nearest whole percent and show how you obtained this answer.

1. Kelly plays soccer for her high school team, the Eagles. This week, her team plays their rival high school team, the Tigers. The Tigers have two goalies, Brittany and Rhonda. Throughout her high school soccer career, Kelly knows that if the Tigers have Brittany playing goalie, then she scores in 80% of the games, but if the Tigers have Rhonda playing goalie then Kelly only scores in 40% of the games. If there is a 70% chance that the Tigers will have Brittany playing goalie and a 30% chance that the Tigers will have Rhonda playing goalie, complete the following probability tree diagram and answer the questions. A) Fill in the 10 probabilities, writing each as a decimal rather than as a percent. [20 points] Kelly scores Probability = a goal Probability = Brittany plays goalie Probability = Probability = Kelly does not score a goal Probability = Kelly scores Probability = Probability =_ a goal Probability = Rhonda plays goalie Probability = Kelly does not probability = score a goal B) What is the probability that Kelly scores a goal in the game? Show how you obtained this answer. [14 points]