Unformatted text preview: , 1 , 1 , 6 , 6 , 6) and D = (3 , 3 , 3 , 3 , 3 , 6). We reserve the name A for the standard die, i.e. A = (1 , 2 , 3 , 4 , 5 , 6). A natural game to play is to roll two of the dice, and declare the winner to be the one which has the highest number of spots showing on the top face. (If they are equal, then there is no winner.) A die is stronger than another if it wins with a higher probability. If two dice win with equal probabilities, we say they are tied. [a] Which of B and C are stronger? Or are they tied? [b] Which of C and D are stronger? Or are they tied? [c] Which of D and B are stronger? Or are they tied? [d] Why are the results of parts [a], [b], and [c] surprising? 5. Extra Credit (2 points) Let { A 1 ,A 2 ,A 3 ,... } be a sequence of events. ²ind an expression (settheoretic) for the event that inFnitely many of the A i ’s occur. Justify your answer. 1...
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 Fall '11
 Wierman
 Probability, following statements, Dice, minimum possible values, ordinary die

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