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)
%
The expected probability of each outcome is 1/6 or approximately 16.67%.
To find the largest discrepancy between the experimental and expected probability, we need to calculate the difference for each outcome:
Outcome 2: | 10/60 - 1/6 | = | 10/60 - 0.1667 | ≈ 0.1667
Outcome 4: | 9/60 - 1/6 | = | 9/60 - 0.1667 | ≈ 0.1667
Outcome 6: | 6/60 - 1/6 | = | 6/60 - 0.1667 | = 0
Outcome 8: | 15/60 - 1/6 | = | 15/60 - 0.1667 | = 0
Outcome 10: | 13/60 - 1/6 | = | 13/60 - 0.1667 | ≈ 0.1667
Outcome 12: | 8/60 - 1/6 | = | 8/60 - 0.1667 | ≈ 0.1667
The largest discrepancy is approximately 0.17 or 17% to the nearest whole number.