In a game called Taxation and Evasion, a player rolls a dice. If on any turn the sum is 3, or 4, the player gets audited. Otherwise, she avoids taxes. Suppose a player takes 5 turns at rolling the dicea. What distribution should be used to describe the outcomes of this game? What is the probability that she does not get audited? What is the probability that she gets audited at least once? What is the probability that she gets audited no more than 2 times? What are the variance and the standard deviation of the number of times she will be audited?
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