Jade toss the cute with faces numbered with 246 810 and 12 the results are recorded in the table. What is the largest discrepancy between the experimental and the expected probability of this experiment the answer needs to be in percent form to the nearest number and the number to the frequency is 10 number four it’s nine number 686 number eight is 15 number 10 is 13 number 12 is eight.
To find the largest discrepancy between the experimental and expected probability, we first need to calculate the expected probability for each face:
1. Total number of tosses: 50 (sum of frequencies)
2. Expected probability for each face: 1/6 (since there are 6 faces on a die)
Expected frequency for each face:
- Face 2: (1/6) * 50 = 8.33
- Face 4: (1/6) * 50 = 8.33
- Face 6: (1/6) * 50 = 8.33
- Face 8: (1/6) * 50 = 8.33
- Face 10: (1/6) * 50 = 8.33
- Face 12: (1/6) * 50 = 8.33
Now, we can calculate the experimental probabilities:
- Face 2: 8/50 = 16%
- Face 4: 9/50 = 18%
- Face 6: 6/50 = 12%
- Face 8: 15/50 = 30%
- Face 10: 13/50 = 26%
- Face 12: 8/50 = 16%
The largest discrepancy between the experimental and expected probability is for face 8:
Expected probability = 8.33%
Experimental probability = 30%
Largest discrepancy = |30% - 8.33%| = 21.67%
Therefore, the largest discrepancy between the experimental and expected probability in this experiment is 21.67%.