A class of 16 students was given a quiz marked out of 5 marks, leading to the following breakdown of the marks of the students: Mark ' 1 2 3 4 5 Number of students ' 1 1 5 3 6 One student is selected at random and their mark recorded. Another student is then selected at random from the remaining 15F and their mark recorded. Let Y denote the smaller of the two marks. (a) What is the support of Y? (b) Find P(Y = 2)