1. Dorian has two bags. Each bag has the letters A, B, and C written on little pieces of paper inside of it. He draws one letter from each bag.

What is the probability that he draws out a vowel and a consonant?

The probability of drawing a vowel and a constant in any order ...

for consonant first ...

(2/3) (1/3) = 2/9

for vowel first

(1/3) (2/3) = 2/9

So the probability of getting a vowel and consonant in either order is:

2 (2/9) = 4/9