Math Help - [SOLVED] Mutually Exclusive Events

1. [SOLVED] Mutually Exclusive Events

A letter is chosen at random from the word grandiose. 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 letter g is 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 of E1, E2 and E3? (3 marks)

2. You know what the expression "mutually exclusive" means?

Hint on 1: Can $E_{1} \mbox{ and }E_{2}$ ever happen at the same time? Or does the fact that $E_{1}$ occurs affect $E_{2}$ ?