Question 2 In this question, show all working details of the steps carried out to determine the answers. Jenny has ten cards, which are labelled B, D, F, F, F, G, M, M, X, Y. (a) By arranging these ten cards, a \"word\" is formed. Example: MYDFMXGFFB (i) Determine the number of different \"words\" that Jenny can make with the ten cards. (ii) Determine the number of \"words\" in Question 2(a)(i) which begin and end with E, and in which the two letters M are consecutive? (8 marks) Fadli chooses three of Jenn 's ten cards at random. Com ute the robabilit that (b) y P p y (i) Fadli's three cards carry the letters F or M. (ii) Jenny's remaining seven cards have no repeated letters. (12 marks) Question 3 A bag contains 8 identically sized balls, 6 black and 2 white. (a) 0)) Balls are drawn out one at a time, at random without replacement. The Wth draw is when a white ball is first drawn. 0) Comment on and explain . (ii) Apply the stated model and construct the probability distribution of W. (iii) Show that E [W] = 3. (iv) Calculate V(W). (14 marks) If each drawn ball is now replaced before another is drawn, show that E [W] = 4