Distinguish a sample count from the position of a final success

Rose and Violet contest each other for the post of President of the Student Council of Floral Junior College. A pre-election survey indicates that Rose has the support of 45% of the school population while Violet has the support of the remaining students.

(i) Find the probability that Rose has fewer than 12 supporters in a group of 30 randomly selected students.3 marks

(ii) If the students are asked to queue up to cast their votes one at a time, find the probability that the 16th student is the 10th student who votes for Violet.3 marks