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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 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.
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 0.35 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.

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 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.

1 answer

The first bar chart is the most accurate representation of the possible outcomes of James’ experiment. Here’s why:

  1. Tile Options: The letter tiles S, M, I, L, and E are available, which means we need a model that includes all these letters.

  2. Probabilities: Each letter's probability needs to reflect the actual likelihood of picking each tile. In this case, the probabilities given are:

    • S: 0.15
    • M: 0.20
    • I: 0.30
    • L: 0.20
    • E: 0.15

    These probabilities correctly sum to 1 (0.15 + 0.20 + 0.30 + 0.20 + 0.15 = 1.00), which is essential for a probability distribution.

  3. Graph Axis Range: The y-axis range of 0 to 0.35 and increments of 0.05 are appropriate for the probabilities provided.

The other options are either missing the letter S or incorrectly state the probabilities for the letters, making them less suitable as models for this experiment.

Thus, the first bar chart accurately represents the probability of picking a letter from the word SMILE and should be the correct response.