The letter tiles S, M, I, L, E are placed on a box. Without looking, James picks a letter tile from the box. Which model represents the possible outcomes of James’ experiment?

The model representing the possible outcomes of James' experiment is a simple event tree with five branches, each representing one of the letter tiles. The branches should all have equal probability of being selected, as each tile is equally likely to be drawn from the box. It should look something like this:

___S___
/ | | \
M I L E

The possible outcomes can be represented by a sample space. In this case, the sample space consists of all the possible letters that James can pick. So, the model that represents the possible outcomes of James' experiment is {S, M, I, L, E}.