Consider a sample space that consists of five sample events El, E2, 53, E4 and E5. (a) If FUJI) = 13032) = 0.15, P(E3) = 0.4, and P(E4) = 213(55), calculate the 13054} and P (Es). (4) (b) If P (E1) = 3P (2) = 0.3, calculate the probabilities of the remaining simple events if you know that the remaining simple events are equally probable. (2) [6] QUESTION 22 Suppose that Mo balanced coins are tossed and the upper faces are observed. (a) List the sample space for this experiments. (1) (b) Let A denotes the event that exactly one Head is observed and B the event that at least one Head is observed. List the sample space in both A and B. (2) (c) From your answer to part (b), calculate (i) P(A). (1) (ii) P(B). (1) (iii) P (A and 3). (2) (iv) P (A or B). (3) (v) P (2 u 3) . (4) \"1