The expected probability of each number on the cube is 1/6 or approximately 0.167.
The experimental probabilities for each number are:
- Number 2: 2/100 = 0.02
- Number 4: 12/100 = 0.12
- Number 6: 22/100 = 0.22
- Number 8: 20/100 = 0.20
- Number 10: 22/100 = 0.22
- Number 12: 22/100 = 0.22
The discrepancies between the experimental and expected probabilities are:
- Number 2: |0.02 - 0.167| = 0.147
- Number 4: |0.12 - 0.167| = 0.047
- Number 6: |0.22 - 0.167| = 0.053
- Number 8: |0.20 - 0.167| = 0.033
- Number 10: |0.22 - 0.167| = 0.053
- Number 12: |0.22 - 0.167| = 0.053
The smallest discrepancy is 0.033, which occurs for the number 8.
Therefore, the smallest discrepancy between the experimental and the expected probability of this experiment is 0.033.
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