Each of the letters of the word 'AUTHORIZES' is written on identical circular discs and put in a bag. They are well shuffled. If a disc is drawn at random from the bag, what is the probability that the letter is :(i) a vowel.(ii) one of the first 9 letters of the English alphabet which appears in the given word.(iii) one of the last 9 letters of the English alphabet which appears in the given word?