A die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, then 5 times, and finally 7 times. Which experimental probability is consistent with this simulation?

Question

Mathematics

Joseph Tyler

8 February, 13:46

A die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, then 5 times, and finally 7 times. Which experimental probability is consistent with this simulation?

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Omari · Answer 1

The experimental probability is found as the average of the results of the experiments. To find the average you can just add the different results and divide by the number of times that the experiment was performed. So, you add (6/20 + 6/20 + 5/20 + 7/20 = and divide by 4 (which is the number of times that the experiment was carried out). Applying the properties of the division of fractions, that is equal to [6 + 6 + 5 + 7] / (20*4) = 0.3. Answer: 0.3