When a ball is randomly selected from the urn containing three red and two yellow balls, and it's returned before the second ball is selected, the sample space for this two-step process consists of all possible pairs of colors for the two selections. Here are the additional five simple events that must be added to the sample space:
1. (Red, Red): The first ball and the second ball are both red.
2. (Red, Yellow): The first ball is red, and the second ball is yellow.
3. (Yellow, Red): The first ball is yellow, and the second ball is red.
4. (Yellow, Yellow): The first ball and the second ball are both yellow.
5. (Red, Red, Red): The first ball, the second ball, and the third ball (if a third selection were made) are all red.
These events represent all the possible outcomes when drawing two balls with replacement from the