Problem 1. A survey of 53 female high-school athletes collected the following data. Team Number of Athletes Field hockey 26 Volleyball 19 Rugby 32 Both rugby and field hockey 11 Both rugby and volleyball 12 Both field hockey and volleyball 10 All three teams 9 a) (Communication 6) Draw a Venn diagram to illustrate the above data. b) (Thinking 2) Determine the probability that a randomly selected athlete from this sample will play either rugby or field hockey. c) (Thinking 2) What is the probability that a randomly selected athlete will play on only one of the three sports teams? d) (Thinking 2) Determine the probability that a randomly selected rugby player also plays volleyball. e) (Thinking 2) Determine the probability that a randomly selected athlete who does not play rugby is on the field-hockey team