Probability Distribution - ANSWER CHECK

**47. A letter is chosen at random from the word ***grandiose. *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 letter *g 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?**