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 largest discrepancy between the experimental and the expected probability of this experiment? The answer needs to be in percent form to the nearest whole number. (1 point) please
To find the largest discrepancy between the experimental and expected probability, we need to calculate the expected probability based on the total number of outcomes and compare it to the actual experimental probability.
Total frequency = 10 + 9 + 6 + 15 + 13 + 8 = 61
Expected probability for each outcome = 1/6 = 16.67%
Now, we can calculate the experimental probability for each outcome:
Outcome 2: 10/61 ≈ 16.39%
Outcome 4: 9/61 ≈ 14.75%
Outcome 6: 6/61 ≈ 9.84%
Outcome 8: 15/61 ≈ 24.59%
Outcome 10: 13/61 ≈ 21.31%
Outcome 12: 8/61 ≈ 13.11%
The largest discrepancy will be between the experimental probability for outcome 8 (24.59%) and the expected probability (16.67%).
The largest discrepancy is: |24.59% - 16.67%| ≈ 7%
Therefore, the largest discrepancy between the experimental and expected probability in this experiment is 7%.