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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?(1 point)
Responses

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 M, I, L and E. The y-axis for probability ranges from 0 percent to 25 percent in increments of 5 percent. The probability of each of the letters M, I, L and E is 20 percent.
Image with alt text: 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 M, I, L and E. The y-axis for probability ranges from 0 percent to 25 percent in increments of 5 percent. The probability of each of the letters M, I, L and E is 20 percent.

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 M, I, L, and E. The y-axis for probability ranges from 0 to 1.2 in increments of 0.2. The probability of each of the letters M, I, L, and E is 1 percent.
Image with alt text: 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 M, I, L, and E. The y-axis for probability ranges from 0 to 1.2 in increments of 0.2. The probability of each of the letters M, I, L, and E is 1 percent.

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.
Image with alt text: 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.

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 0.35 in increments of 0.05. The probability of each of the letters is as follows: S is 0.15, M is 0.20, I is 0.30, L is 0.20, and E is 0.15.

1 answer

The correct model that represents the possible outcomes of James’ experiment—picking a letter tile from the box containing the letters S, M, I, L, and E—is the one that accurately reflects the probabilities of each letter being chosen.

Since James has five letter tiles: S, M, I, L, and E, and assuming the letters are equally likely to be drawn, the probability of picking each letter tile would be \( \frac{1}{5} = 0.20\) or 20%.

Therefore, the bar chart that represents the possible outcomes would be:

A bar chart titled "Probability of Picking a Letter from the Word SMILE." 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 reflects that there are five possible outcomes, and each has an equal probability of occurring.