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

question 14

Multiple Choice

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 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.

---

Definitions:

Mental Abilities

Cognitive capacities or skills that enable individuals to learn, remember, solve problems, and process information.

Babbling

Repetitive vocalizations made by infants, comprising sounds and syllables, marking the beginning of speech development.

Schemes

In cognitive development, organized patterns of behavior or thought that children use to interact with and understand their environment.

Echolalia

The repetition of phrases or words typically practiced by individuals with autism or other communication disorders.