Originally Posted by

**bhuang** Five identical cards are labelled A, B, C, D, E. The cards are placed in a box and a card is selected at random. This card is replaced in the box, and a second random selection is made.

a) Draw a grid to show the 25 possible outcomes.

b) Given that neither card has a letter which appears in the word VICTORY, calculate the probability that both are vowels.

I need help with b). What I did was consider it conditional probability. So I found the probability that both are vowels and don't appear in VICTORY which is 4/25 and I divided it by 1 becuase none of them appear in VICTORY. But my answer is wrong.

I looked back at my work from the beginning of the semester and I divided by 16/25 instead, which was correct. But now I can't see why I would divide by 16/25.

Does anyone know?