You have nine bags and in each bag you put a letter from the word "NEUMATICO" (5 vowels and 4 consonants. You pick two bags randomly. You open one of the picked bags and you see a vowel. What is the probability that the other bag contains a consonant?
I think the probability is 1/2 since you know that a vowel is in the first bag, then four consonants remains from a total of eight letters, hence 4/8 = 1/2.
Thanks your your help.