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.

Question

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.

Answer 1

To find the largest discrepancy between the experimental and expected probability, we first need to calculate the expected probability for each outcome. The total number of outcomes is 10 + 9 + 6 + 15 + 13 + 8 = 61.

Expected probability for each outcome:
2: 1/6 = 10/61
4: 1/6 = 10/61
6: 1/6 = 10/61
8: 1/6 = 10/61
10: 1/6 = 10/61
12: 1/6 = 10/61

Now, we calculate the experimental probability for each outcome by dividing the frequency by the total number of outcomes (61):

Experimental probability for each outcome:
2: 10/61
4: 9/61
6: 6/61
8: 15/61
10: 13/61
12: 8/61

Now we calculate the discrepancy for each outcome:

| (Experimental probability - Expected probability) |:
2: |(10/61) - (10/61)| = 0
4: |(9/61) - (10/61)| = 1/61
6: |(6/61) - (10/61)| = 4/61
8: |(15/61) - (10/61)| = 5/61
10: |(13/61) - (10/61)| = 3/61
12: |(8/61) - (10/61)| = 2/61

The largest discrepancy is 5/61, which is approximately 8%. Therefore, the largest discrepancy between the experimental and expected probability of this experiment is 8%.