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

What are the probabilities of E1, E2, and E3?

My Answer:

E1 = {a,i,o,e}

E2= {g,r,n,d,s}

E3 = {g}

Nine letters total from the word grandiose

Therefore, the probability of E1 is 4/9.

The probability of E2 is 5/9 and the probability of E3 is 1/9

Is this correct?