Question: The Mega Millions game consists of drawing five numbers from the integers 1,2,3,...,52 (without replacement). Then a special number, a sixth number, is selected from a new set of numbers 1,2,3...52. A winning player must have selected the correct five numbers from the first set and the correct number from the second set. You get one set of six numbers for a $1 bet. What is the probability of winning the Mega Millions game if you make a $1 bet? If $200 million is wagered by individual betters, what is the probability there will be no winners? What is the probability of 2 or fewer winners? What is the expected number of winners? What is the standard deviation for the number of winners? Use the Excel BINOMDIST to confirm your answer. Attach the Excel output to your answer. BINOMDIST is found under the Statistical functions in Excel.

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