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 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 because there are 6 possible outcomes on the cube, each equally likely.
Calculating the expected probabilities:
2: 1/6
4: 1/6
6: 1/6
8: 1/6
10: 1/6
12: 1/6
Smallest discrepancy:
|10/10 - 1/6| = 0.667
|9/9 - 1/6| = 0.667
|6/6 - 1/6| = 0
|15/15 - 1/6| = 0.667
|13/13 - 1/6| = 0.667
|8/8 - 1/6| = 0
The smallest discrepancy between the experimental and the expected probability is 0.000, which occurs for the outcome 6.