Question

Suppose you roll two number cubes and pick a letter of the alphabet at random. Find the probability you roll 2 even numbers and pick one of the vowels a, e, i, o, or u.

Answer 1

it may be 5/9,

Answer 2

The multiplication theorem applies, the reason being that the compound event is made up of tree separate and independent events.
Let p = probability of success:
p = 3/6 * 3/6 * 5/26 = 0.048

Answer 3

It should say "..three separate and independent events"