To determine the correct model that represents the possible outcomes of James' experiment when he picks a letter tile from the letters S, M, I, L, and E, we first need to consider the probabilities of picking each letter.
Since there are no duplicates, each of the letters S, M, I, L, and E would have an equal probability of being chosen, as there is one of each.
The correct probabilities for each of these letters should be as follows:
- S: 1/5 = 0.20
- M: 1/5 = 0.20
- I: 1/5 = 0.20
- L: 1/5 = 0.20
- E: 1/5 = 0.20
Given these probabilities, we need to find a chart that accurately depicts the probabilities for all five letters, where each one shows a probability of approximately 0.20 (or 20%).
The most appropriate response is:
"A bar chart is titled Probability of Picking a Letter from the Word SMILE. The chart is plotted for outcomes on the x-axis against probability on the y-axis. The x-axis shows bars for the individual letters S, M, I, L, and E. The y-axis for probability ranges from 0 to 0.25 in increments of 0.05. The probability of each of the letters S, M, I, L, and E is approximately 0.20."
This option describes an equal probability for all the letters, which is a correct representation of the experiment.