Form 41 at St George's College is comprised of fifteen (15) girls and sixteen (16) boys. The class was given detention from 3:00 pm to 4:30 pm last week Tuesday. At 3:30 pm the form teacher selected a student at random and allowed the student to go home. At 4:00 pm the teacher selected another student at random and also allowed that student to go home. At 4:10 pm the teacher selected another student at random and also allowed that student to go home. (a) Construct a probability tree to represent the gender of the student allowed to leave the class. [7] (b) Determine the probability that: (i) More male students than female students were selected. [5] (ii) All students were of the same gender [3] (c) Determine the probability that the second student was female given that the first was female. [2]