When finding the probability of two or more events what should you do with the fractions?

If it's like this:

"There are 4 books in a bag and two of the four are fiction. Jess randomly pulls one out of the bag and replaces it. What is the probability of getting two fiction books?"

Then you should do this, 2/4 x 2/4 = 4/16 or 1/4

If it's like this:

"There are 4 books in a bag and two of the four are fiction. Jess randomly pulls one out of the bag and doesn't replace it. What is the probability of getting two fiction books?"

Then you should do this, 2/4 x 1/3 = 2/12 or 1/6