A letter is chosen at random from the wordgrandiose. E1 is the event in which a vowel is chosen, E2 is the event in which a consonant is chosen, and E3 is the event in which the lettergis chosen.

A) Are E1 and E2 mutually exclusive? Explain. (4 marks)

B) Are E1 and E3 mutually exclusive? Explain. (2 marks)

C) What are the probabilities ofE1,E2 andE3? (3 marks)