Assume that you cast a die 10 times,and the average of all the numbers that are obtained is 5.What condition below should you expect to occur?
A) The average score should be 2 for the next 10 rolls.
B) The die must be weighted.You would not obtain the same average score using a standard die.
C) The average score should be closer to 3.5 after 1,000 rolls.
D) The same average score (5)should be expected regardless of how many times the die is cast.

Question

Quizplus · Accepted Answer

The expected average score of rolling a fair die is 3.5, because the outcomes are uniformly distributed from 1 to 6. Over a large number of rolls, such as 1,000, the average should converge to this expected value due to the law of large numbers.

Assume That You Cast a Die 10 Times,and the Average