(5 marks) Bert and Earnie are going to play a game where they alternate attempting to complete a task. The first to successfully complete the task wins the game. Suppose there is a 20% chance Bert completes the task on any attempt, there is a 30% chance Earnie completes the task on any attempt, and that all attempts are independent. They will flip a fair (two-sided) coin to see who goes first. What is the probability that Bert wins the game? (5 marks) Bert and Earnie are going to play a game where they alternate attempting to complete a task. The first to successfully complete the task wins the game. Suppose there is a 20% chance Bert completes the task on any attempt, there is a 30% chance Earnie completes the task on any attempt, and that all attempts are independent. They will flip a fair (two-sided) coin to see who goes first. What is the probability that Bert wins the game?