The expected probability for each outcome is 1/6. We can calculate the experimental probability by dividing the frequency of each outcome by the total number of trials:
Experimental probability of 2: 10/61 ≈ 0.164
Experimental probability of 4: 9/61 ≈ 0.148
Experimental probability of 6: 6/61 ≈ 0.098
Experimental probability of 8: 15/61 ≈ 0.246
Experimental probability of 10: 13/61 ≈ 0.213
Experimental probability of 12: 8/61 ≈ 0.131
The discrepancies between the experimental and expected probabilities are:
|0.164 - 1/6| ≈ 0.014
|0.148 - 1/6| ≈ 0.012
|0.098 - 1/6| ≈ 0.068
|0.246 - 1/6| ≈ 0.080
|0.213 - 1/6| ≈ 0.047
|0.131 - 1/6| ≈ 0.034
The smallest discrepancy is 0.012, so the answer is 0.012 rounded to the nearest thousandth.
Answer: 0.012
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)
2 answers
Everyone! don't listen to Explain bot or Bot! Step by Step bot is correct the answer is 0.003 on the practice!
1 answer