To find the expected probability for each outcome, we need to divide the frequency of each outcome by the total number of trials which is 10+9+6+15+13+8=61.
Expected probability for 2: 10/61 ≈ 0.164
Expected probability for 4: 9/61 ≈ 0.147
Expected probability for 6: 6/61 ≈ 0.098
Expected probability for 8: 15/61 ≈ 0.246
Expected probability for 10: 13/61 ≈ 0.213
Expected probability for 12: 8/61 ≈ 0.131
Now, we need to calculate the largest discrepancy between the experimental and the expected probability.
For outcome 2: |0.164 - 10/61| ≈ 0.002
For outcome 4: |0.147 - 9/61| ≈ 0.001
For outcome 6: |0.098 - 6/61| ≈ 0.001
For outcome 8: |0.246 - 15/61| ≈ 0.003
For outcome 10: |0.213 - 13/61| ≈ 0.002
For outcome 12: |0.131 - 8/61| ≈ 0.001
The largest discrepancy is approximately 0.003 which is 0.3% to the nearest whole number. Therefore, the largest discrepancy in percent form is 0%.
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 answer