A friend of yours has been busy studying the statistics of their favorite football team and wants you help. They are interested in looking at how the team fairs during wet matches, i.e. games played in wet weather, compared to dry matches. They have found some statistics of the teams playing history and found that the team has played a total of 500 games in which le probability that a random game: is a wet match is 0.4? is a win is 0.51 is a dry match and the team wins is 0.3? is a dry match and the team lowes is [1.16 is a wet match and the team wins is 0.14 is a wet match and the team lomes is [1.33 Let the events A and B be: Event A: a random game is a wet match Eyent B: a random game results in a win a) An incomplete tree diagram for this scenario is presented below. Fill in the correct number of outcomes for each part of the tree. Give your answers as whole numbers. Win LOSS E Win Wet match E LOSS E b) Find the probability that a random game results in a loss given that it is a wet match. Eye your answer as a decimal to 2 decimal places. P(not B given A) = E