The Powerball Lottery Is Played Twice Each Week In 28 States The Virgin Islands And 104495

The Powerball lottery is played twice each week in 28 states, theVirgin Islands, and the District of Columbia. To play Powerball aparticipant must purchase a ticket and then select ve numbers from thedigits 1 through 55 and a Powerball number from the digits 1 through 42.To determine the winning numbers for each game, lottery ocials drawve white balls out of a drum with 55 white balls, and one red ball out ofa drum with 42 red balls. To win the jackpot, a participants numbers mustmatch the numbers on the ve white balls in any order and the number onthe red Powerball. Eight coworkers at the ConAgra Foods plant in Lincoln,Nebraska, claimed the record $365 million jackpot on February 18, 2006,by matching the numbers 15-17-43-44-49 and the Powerball number 29. Avariety of other cash prizes are awarded each time the game is played. Forinstance, a prize of $200,000 is paid if the participants ve numbers matchthe numbers on the ve white balls.a) Compute the number of ways the rst ve numbers can be selected. b)What is the probability of winning a prize of $200,000 by matching thenumbers on the ve white balls? c)What is the probability of winning thePowerball jackpot? Dr.Ijaz Hussain (UET) Business Mathematics and Statistics March 17,

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