In a Game Called Taxation and Evasion,a Player Rolls a Pair

question 189

Short Answer

In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The variance of the number of times she will be audited is _____.

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Definitions:

Universal Instantiation

A logical rule of inference that allows for the deduction of specific instances from a universally quantified statement.

Existential Instantiation

A logical principle where from a general statement, one can infer the existence of at least one particular instance.

Universal Generalization

Universal generalization is a logical principle that allows one to infer that something is true for all members of a class from its being true for every observed member.

Quantifier Negation

The process of negating the quantifier in a logical expression, changing its scope or applying negation to the predicate instead.