The expected probability of each outcome is 1/6, since there are 6 possible outcomes on the cube.
To find the smallest discrepancy between the experimental and expected probability, we can calculate the absolute difference between the two probabilities for each outcome.
Outcome 2:
Experimental probability = 10/61 ≈ 0.164
Absolute difference = |0.164 - 1/6| = |0.164 - 0.167| = 0.003
Outcome 4:
Experimental probability = 9/61 ≈ 0.148
Absolute difference = |0.148 - 1/6| = |0.148 - 0.167| = 0.019
Outcome 6:
Experimental probability = 6/61 ≈ 0.098
Absolute difference = |0.098 - 1/6| = |0.098 - 0.167| = 0.069
Outcome 8:
Experimental probability = 15/61 ≈ 0.246
Absolute difference = |0.246 - 1/6| = |0.246 - 0.167| = 0.079
Outcome 10:
Experimental probability = 13/61 ≈ 0.213
Absolute difference = |0.213 - 1/6| = |0.213 - 0.167| = 0.046
Outcome 12:
Experimental probability = 8/61 ≈ 0.131
Absolute difference = |0.131 - 1/6| = |0.131 - 0.167| = 0.036
The smallest discrepancy is 0.003, which occurs for outcome 2.
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)
_
1 answer