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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 repres...Question
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?(1 point) Responses 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. 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. 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. 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. Skip to navigation
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To determine the model that correctly represents the possible outcomes of James’ experiment of picking a letter tile from the box containing the letters S, M, I, L, and E, we need to consider the probabilities of each letter.
Since there are 5 letters (S, M, I, L, E) and assuming each letter has an equal chance of being chosen, each letter would have a probability of:
\[
\text{Probability of each letter} = \frac{1}{5} = 0.20
\]
This is equivalent to 20% for each letter.
Now, let's analyze each of the potential responses:
1. **First option:** Letters M, I, L, and E with probabilities all at 1%. This is incorrect as it only includes four letters and the probabilities do not add up to 100%.
2. **Second option:** Letters S, M, I, L, and E with probabilities S = 0.15, M = 0.20, I = 0.30, L = 0.20, E = 0.15. This is incorrect because the probabilities do not equal 1 (0.15 + 0.20 + 0.30 + 0.20 + 0.15 = 1.00); however, they do not align with equal probabilities for all letters.
3. **Third option:** Letters M, I, L, and E with probabilities all at 20%. This is incorrect as it only includes four letters and omits letter S.
4. **Fourth option:** Letters S, M, I, L, and E with probabilities approximately 0.20 for each. This is correct as it includes all five letters with equal probabilities of 0.20.
From this analysis, the **fourth option** accurately represents the possible outcomes of picking a letter from the word SMILE, where each of the five letters has an equal probability of being chosen.
Thus, the correct model is the **fourth option**.
Since there are 5 letters (S, M, I, L, E) and assuming each letter has an equal chance of being chosen, each letter would have a probability of:
\[
\text{Probability of each letter} = \frac{1}{5} = 0.20
\]
This is equivalent to 20% for each letter.
Now, let's analyze each of the potential responses:
1. **First option:** Letters M, I, L, and E with probabilities all at 1%. This is incorrect as it only includes four letters and the probabilities do not add up to 100%.
2. **Second option:** Letters S, M, I, L, and E with probabilities S = 0.15, M = 0.20, I = 0.30, L = 0.20, E = 0.15. This is incorrect because the probabilities do not equal 1 (0.15 + 0.20 + 0.30 + 0.20 + 0.15 = 1.00); however, they do not align with equal probabilities for all letters.
3. **Third option:** Letters M, I, L, and E with probabilities all at 20%. This is incorrect as it only includes four letters and omits letter S.
4. **Fourth option:** Letters S, M, I, L, and E with probabilities approximately 0.20 for each. This is correct as it includes all five letters with equal probabilities of 0.20.
From this analysis, the **fourth option** accurately represents the possible outcomes of picking a letter from the word SMILE, where each of the five letters has an equal probability of being chosen.
Thus, the correct model is the **fourth option**.
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