Powerball is played with 55 white balls,numbered 1-55, and 42 red balls, number

Question

   Powerball is played with 55 white balls,numbered 1-55, and 42 red balls, number 1-42, Five white balls andone red ball, the Powerball, are drawn to determine the winningticket(s) Find the Probablitilty that you purchase a winning ticketif you purchase A) 100 tickets B)1000 tickets withdifferent combinations of numbers. Correct answer is in the following. Please show work.Thank you. A)6.84 x 10-7 B)6.84 x 10-6    Powerball is played with 55 white balls,numbered 1-55, and 42 red balls, number 1-42, Five white balls andone red ball, the Powerball, are drawn to determine the winningticket(s) Find the Probablitilty that you purchase a winning ticketif you purchase A) 100 tickets B)1000 tickets withdifferent combinations of numbers. Correct answer is in the following. Please show work.Thank you. A)6.84 x 10-7 B)6.84 x 10-6

Explanation / Answer

probability of wining= 1/(c(55,5)C(42,1))=(50!5!)/(55!42)=6*10-9=P(win) p(lose)=1-P(win)=1-6*10-9=.999999994 probability of winning if 100 tickets bought=p(lose)99*p(win)*100=5.99*10-7 prob of winning if 1000=p(lose)999*p(win)*1000=??? My calculator went nuts

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