Unformatted text preview: c. (2 pts) In the Powerball lottery game, the object of the game is to choose 5 numbers from 1 to 49, and then the additional “Powerball” number from 1 to 42. After a number is drawn to become one of the 5 from 1 to 49, it cannot be drawn again. However, any number from 1 to 42 can be drawn as the “Powerball”. Also, the order of the numbers does not matter. What is the probability of winning the Powerball lottery? d. (1 pt) How many possible batting orders (i.e. the sequence in which players come in to bat) are there for a team of nine players? 5. (2 pts) A box contains N marbles. Of these, M are taken out at random, marked and returned to the box. The contents of the box are then thoroughly mixed. Next, n marbles are drawn at random from the box and the marked marbles are counted. What is the probability that x of these n marbles are marked? 1...
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 Fall '08
 GELFAND
 Probability, Mega Millions, Powerball, Textbook exercise, exponential probability law

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