Jade tossed a cube with faces number 2468 10 12 the results are recorded in the table what is the smallest discrepancy between the experiment and the expected probability in this experiment write your answer in three decimal places rounded to the nearest thousand
To find the expected probability for each face on the cube, we divide 1 by the total number of faces:
1/6 = 0.167
Now we can calculate the discrepancy for each face:
- Face 2: |0.333 - 0.167| = 0.167
- Face 4: |0.333 - 0.167| = 0.167
- Face 6: |0.167 - 0.167| = 0
- Face 8: |0 - 0.167| = 0.167
- Face 10: |0 - 0.167| = 0.167
- Face 12: |0.167 - 0.167| = 0
The smallest discrepancy is 0, which occurs for face 6.
Therefore, the smallest discrepancy between the experiment and the expected probability is 0.000.