When rolling a pair of fair dice,the probability of rolling a total point value of "7" is 0.17.If you rolled a pair of dice 1,000 times and the point value of "7" appeared 723 times,what would you probably conclude?
A)This is not so unlikely as to make you doubt the fairness of the dice.
B)Although not impossible,this outcome is so unlikely that the fairness of these dice is questionable.
C)Since the total point value of "7" has the highest probability of any event in the sampling distribution,this is an extremely likely outcome.
D)It is impossible for this to happen if the dice are fair.

Question

Quizplus · Accepted Answer

The probability of rolling a 7 with a pair of fair dice is actually 6/36 or 1/6, which is approximately 0.1667, not 0.17. However, getting a total of 723 occurrences of 7 out of 1000 rolls significantly exceeds the expected number of occurrences (which would be around 166.67 if we use the 1/6 probability). This deviation suggests that the outcome is so unlikely that it casts doubt on the fairness of the dice.

When Rolling a Pair of Fair Dice,the Probability of Rolling