Use the table to answer the question.
Outcomes | 2 | 4 | 6 | 8 | 10 | 12
Frequency | 10 | 9 | 6 | 15 | 13 | 8
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 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 of each outcome is 1/6 since there are 6 possible outcomes.
To find the experimental probability, we divide the frequency by the total number of trials:
Experimental probability = frequency / total number of trials
For each outcome:
P(2) = 10/61
P(4) = 9/61
P(6) = 6/61
P(8) = 15/61
P(10) = 13/61
P(12) = 8/61
The smallest discrepancy between the experimental and expected probability is:
|P(2) - 1/6| = |10/61 - 1/6| ≈ 0.026
Therefore, the smallest discrepancy between the experimental and expected probability is 0.026.