Your friend has been busy studying the statistics of their favorite football team and wants your 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 researched the team's playing history and found that the team has played a total of 600 games of which 356 were dry matches and 249 were wins. Further, the team has had 53 wins in wet matches and 196 wins in dry matches; and also the team had 191 losses in wet matches and 160 losses in dry matches. Let the 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 Dry match Loss Win Wet match Loss 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) =