There are a total of 6 possible outcomes and each face has an equal chance of landing face up. Therefore, the expected probability of each outcome is 1/6, or approximately 16.67%.
Outcome | Observed Frequency | Expected Probability | Experimental Probability | Discrepancy
---|---|---|---|---
2 | 8 | 1/6 (16.67%) | 8/30 (26.67%) | 10.00%
4 | 5 | 1/6 (16.67%) | 5/30 (16.67%) | 0.00%
6 | 4 | 1/6 (16.67%) | 4/30 (13.33%) | 3.33%
8 | 6 | 1/6 (16.67%) | 6/30 (20.00%) | 3.33%
10 | 4 | 1/6 (16.67%) | 4/30 (13.33%) | 3.33%
12 | 3 | 1/6 (16.67%) | 3/30 (10.00%) | 6.67%
The largest discrepancy is 10%, which corresponds to the outcome 2. Therefore, the answer is 10% to the nearest whole number.
Jude 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
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