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?

Question

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?

Answer 1

To determine the possible outcomes of James' experiment, we need to consider the number of letter tiles and the fact that James will select one tile without looking. In this case, there are five letter tiles (S, M, I, L, E).

The model that represents the possible outcomes is the sample space. The sample space is the set of all possible outcomes of an experiment.

In this case, the sample space would be {S, M, I, L, E}, since James could randomly select any of these five letter tiles from the box.

Answer 2

There are different models that can represent the possible outcomes of James' experiment, but one possible model is a tree diagram. The first level of the tree would have five branches representing the five possible letters that James could pick: S, M, I, L, or E. Each of these branches would lead to a second level with only one branch each, representing the outcome of James' pick. For example, if James picks the S tile, the second level of the tree would have only one branch with the letter S on it. The resulting tree diagram would have five branches at the first level and five leaves at the second level, one for each possible letter.

Answer 3

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?

To determine the possible outcomes of James' experiment, we need to consider the number of letter tiles and the fact that James will select one tile without looking. In this case, there are five letter tiles (S, M, I, L, E).

The model that represents the possible outcomes of James' experiment is a probability tree diagram.