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.

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Definitions:

Set Notation

The formal language used to describe a set, including symbols and conventions for expressing membership, union, intersection, and other set properties.

Union

The set containing all elements from two or more given sets, without duplication.

Absolute Value

A mathematical function that measures the distance of a number from zero on the number line, disregarding direction; it's always non-negative.

No Solution

A condition where an equation or system of equations has no possible values that satisfy it.