First attempt 25 Second attempt Pass with Distinction essment solutions 45% Ordinary Pass Pass with Distinction D then O 5% D the 30% Ordinary Fail 70% Pass 25% Fail (a) Find the probability that, following a second attempt if needed, a randomly chosen candidate: (i) fails the examination (ii) passes the examination (with or without distinction) (b) Jill and Jo are two randomly chosen entrants for the examination. Find the probabilities that (i) both pass (with or without distinction), but just one of them needs a second attempt, (ii) Jill gets a better result than Jo. [4] [8] Total 40 marks