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)
The expected probability for each outcome is 1/6 since there are 6 possible outcomes when rolling a cube.
To calculate the discrepancy for each outcome:
- For outcome 2: |10/60 - 1/6| = 1/60
- For outcome 4: |9/60 - 1/6| = 1/60
- For outcome 6: |6/60 - 1/6| = 0
- For outcome 8: |15/60 - 1/6| = 1/60
- For outcome 10: |13/60 - 1/6| = 1/60
- For outcome 12: |8/60 - 1/6| = 1/60
The smallest discrepancy is 0, which occurs for outcome 6.
Therefore, the smallest discrepancy between the experimental and expected probability of this experiment is 0.000.