document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346172>Question 346172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the probability that a number selected at random from the first 500 positive integers is (exactly) divisible by 6 or 9? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247541 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=247541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the probability that a number selected at random from the first 500 positive integers is (exactly) divisible by 6 or 9?\r<BR>\n" );
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document.write( "using as the first 500 positive integers 1 through 500 inclusively\r<BR>\n" );
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document.write( "there are 83 numbers divisible by 6 exactly between 1 and 500<BR>\n" );
document.write( "(83 * 6 = 498)<BR>\n" );
document.write( "there are 55 numbers divisible by 9 exactly between 1 and 500<BR>\n" );
document.write( "(55 * 9 = 495)\r<BR>\n" );
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document.write( "probability of 6: 83/500 = 16.6/100 = 0.166 = 16.6 %\r<BR>\n" );
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document.write( "probability of 9: 55/500 = 11/100 = 11 %\r<BR>\n" );
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document.write( "probability of number being divisible by either 6 or 9: (83 + 55)/500<BR>\n" );
document.write( "138/500 = 27.6/100 = 27.6 %\r<BR>\n" );
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document.write( "probability of number being divisible by either 6 or 9 but not both:\r<BR>\n" );
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document.write( "there are 27 numbers divisible by both 6 and 9 exactly between 1 and 500<BR>\n" );
document.write( "(27 * 18 = 486)\r<BR>\n" );
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document.write( "138 - 27 = 111\r<BR>\n" );
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document.write( "probability of number being divisible by either 6 or 9 but not both: <BR>\n" );
document.write( "111/500 = 22.2/100 = 22.2 %<BR>\n" );
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