Part D: Application (10 marks) 20. The coach of the soccer team estimates her team historically has a 75% chance of winning when they have won their previous game, but only 55% chance of winning when they have lost their previous game. They have 2 upcoming games. If they have a 45% chance of winning the rst ga me, what is the probability they win their second game? (4 marks) 21. A survey of 54 high school athletes collected the following data: Team Number of Athletes Basketball 25 Volleyball 19 Football 32 Both basketball and volleyball 10 Both basketball and football 8 Both volleyball and football 12 All three teams 8 a} Draw a Venn diagram to illustrate the above data. {3 marks) b) Determine the probability that a randomly selected athlete from this sample will play either football or volleyball