document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165737>Question 1165737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6.	The Powerball lottery is played twice each week in 28 states, the Virgin Islands, and the<BR>\n" );
document.write( "District of Columbia. To play Powerball a participant must purchase a ticket and then select<BR>\n" );
document.write( "five numbers from the digits 1 through 55 and a Powerball number from the digits 1 through<BR>\n" );
document.write( "42. To determine the winning numbers for each game, lottery officials draw five white balls<BR>\n" );
document.write( "out of a drum with 55 white balls, and one red ball out of a drum with 42 red balls. To win<BR>\n" );
document.write( "the jackpot, a participant’s numbers must match the numbers on the five white balls in any<BR>\n" );
document.write( "order and the number on the red Powerball. Eight coworkers at the ConAgra Foods plant<BR>\n" );
document.write( "in Lincoln, Nebraska, claimed the record $365 million jackpot on February 18, 2006, by<BR>\n" );
document.write( "matching the numbers 15-17-43-44-49 and the Powerball number 29. A variety of other<BR>\n" );
document.write( "cash prizes are awarded each time the game is played. For instance, a prize of $200,000<BR>\n" );
document.write( "is paid if the participant’s five numbers match the numbers on the five white balls<BR>\n" );
document.write( "(www.powerball.com, March 19, 2006).<BR>\n" );
document.write( "a. Compute the number of ways the first five numbers can be selected.<BR>\n" );
document.write( "b. What is the probability of winning a prize of $200,000 by matching the numbers on<BR>\n" );
document.write( "the five white balls?<BR>\n" );
document.write( "c. What is the probability of winning the Powerball jackpot?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790251 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. It is 55*54*53*52*51=417,451,320\r<BR>\n" );
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document.write( "b.(5/55)(4/54)(3/53)(2/52)(1/51)=0.000000287 (or 2.87 x 10^(-7)) or 1 in 3,478,761<BR>\n" );
document.write( "for winning the jackpot, it is the above probability *1/42, the probability of drawing the red Powerball.\r<BR>\n" );
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document.write( "c. this is 0.000000006844 (6.8 x 10^(-9)) or 1 in 146,107,962<BR>\n" );
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