Your friend has been busy studying the statistics ofIheir favorite football team and wants your help. They are interested in looking at how 'le team fairs during wet matches, i.e. games played in wet weather. compared to dry matches. They have researched the team's playing history and found that the team has played a total of 600 games of which 434 were dry matches and 33? were wins. Further, the team has had 38 wins in wet matches and 299 wins in dryr matches; and also the team had 128 losses in wet matches and 135 losses in dry matches. Let \"die events A and B be: Event A: a random game is a wet match Event B: a random game results in a win a) An incomplete tree diagram for this scenario is presented. Fill in the appropriate probability for each part of the tree. Give your answers as decimals to 2 decimal places. Win Loss E Wet match l:| LOSS E b) Find the probability that a random game results in a win given that it is a wet match. Give your answer as a decimal to 2 decimal places. P(B given A] = E