document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338700>Question 338700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Four hundred people attending a party are each given a number, 1 to 400, for a door-prize drawing.  One number is drawn at random to determine the winner.  Find the probability that the number drawn:\r<BR>\n" );
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document.write( "a. 	is 123\r<BR>\n" );
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document.write( "b. 	Consists of the same three digits.\r<BR>\n" );
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document.write( "c. 	has two digits and ends in 9\r<BR>\n" );
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document.write( "d. 	does not contain an 8\r<BR>\n" );
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document.write( "e. 	is an even number or greater than 390.\r<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 #242772 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=242772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four hundred people attending a party are each given a number, 1 to 400, for a door-prize drawing. One number is drawn at random to determine the winner. Find the probability that the number drawn: <BR>\n" );
document.write( "a. is 123 ::::::: 1/400<BR>\n" );
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document.write( "b. Consists of the same three digits.<BR>\n" );
document.write( "There are 6 such numbers: 111,222,333<BR>\n" );
document.write( "Probability = 3/400 <BR>\n" );
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document.write( "c. has two digits and ends in 9<BR>\n" );
document.write( "1st digit: 3 ways: 1,2,3<BR>\n" );
document.write( "2nd digit: 10 ways: 0-9<BR>\n" );
document.write( "3rd digit: 1 way: 9<BR>\n" );
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document.write( "3*10*1 = 30/400 = 3/40 \r<BR>\n" );
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document.write( "d. does not contain an 8<BR>\n" );
document.write( "1st digit: 3 ways: 1,2,3<BR>\n" );
document.write( "2nd digit: 9 ways: 0,1,2,3,4,5,6,7,9  <BR>\n" );
document.write( "3nd digit: 9 ways: 0,1,2,3,4,5,6,7.9<BR>\n" );
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document.write( "(3*81)/400 = 243/400\r<BR>\n" );
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document.write( "e. is an even number or greater than 390.<BR>\n" );
document.write( "P(even) + P(>390) - P(even and >390)<BR>\n" );
document.write( "1st: 1,2,3<BR>\n" );
document.write( "2nd: any of 10<BR>\n" );
document.write( "3rd: ends in 2,4,6,8,0<BR>\n" );
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document.write( ">390: 391-400<BR>\n" );
document.write( "[3*10*5 + 10 - 5]/400 = 155/400<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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