Use the table to answer the question.
Outcomes 2 4 6 8 10 12
Frequency 10 9 6 15 13 8
Jede tossed a cube with faces numbered with 2, 4, 6, 8, 10, and 12. The results are recorded in the table. What is the smallest discrepancy between the experimental and the expected probability of this experiment? Write your answer in 3 decimal places, rounded to the nearest thousandth.
(1 point)
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The expected probability for each outcome is 1/6 since there are 6 equally likely outcomes when rolling a regular cube.
Calculating the experimental probabilities:
For outcome 2: 10/61 ≈ 0.164
For outcome 4: 9/61 ≈ 0.148
For outcome 6: 6/61 ≈ 0.098
For outcome 8: 15/61 ≈ 0.246
For outcome 10: 13/61 ≈ 0.213
For outcome 12: 8/61 ≈ 0.131
The smallest discrepancy is 0.015, which is the absolute difference between the experimental probability of outcome 6 (0.098) and the expected probability of 1/6 ≈ 0.167.