document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=991297>Question 991297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the probability of getting the product a perfect (square of a natural numbers) when two dice are thrown together,is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #611172 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=611172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the perfect squares are:<BR>\n" );
document.write( "1*1 = 1<BR>\n" );
document.write( "2*2 = 4<BR>\n" );
document.write( "3*3 = 9<BR>\n" );
document.write( "4*4 = 16<BR>\n" );
document.write( "5*5 = 25<BR>\n" );
document.write( "6*6 = 36\r<BR>\n" );
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document.write( "the number of possible products when you throw 2 dice is equal to 6 * 6 = 36\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "1*1 = 1 ***<BR>\n" );
document.write( "1*2 = 2<BR>\n" );
document.write( "1*3 = 3<BR>\n" );
document.write( "1*4 = 4 ***<BR>\n" );
document.write( "1*5 = 5<BR>\n" );
document.write( "1*6 = 6<BR>\n" );
document.write( "2*1 = 2<BR>\n" );
document.write( "2*2 = 4 ***<BR>\n" );
document.write( "2*3 = 6<BR>\n" );
document.write( "2*4 = 8<BR>\n" );
document.write( "2*5 = 10<BR>\n" );
document.write( "2*6 = 12<BR>\n" );
document.write( "3*1 = 3<BR>\n" );
document.write( "3*2 = 6<BR>\n" );
document.write( "3*3 = 9 ***<BR>\n" );
document.write( "3*4 = 12<BR>\n" );
document.write( "3*5 = 15<BR>\n" );
document.write( "3*6 = 18<BR>\n" );
document.write( "4*1 = 4 ***<BR>\n" );
document.write( "4*2 = 8<BR>\n" );
document.write( "4*3 = 12<BR>\n" );
document.write( "4*4 = 16 ***<BR>\n" );
document.write( "4*5 = 20<BR>\n" );
document.write( "4*6 = 24<BR>\n" );
document.write( "5*1 = 5<BR>\n" );
document.write( "5*2 = 10<BR>\n" );
document.write( "5*3 = 15<BR>\n" );
document.write( "5*4 = 20<BR>\n" );
document.write( "5*5 = 25 ***<BR>\n" );
document.write( "5*6 = 30<BR>\n" );
document.write( "6*1 = 6<BR>\n" );
document.write( "6*2 = 12<BR>\n" );
document.write( "6*3 = 18<BR>\n" );
document.write( "6*4 = 24<BR>\n" );
document.write( "6*5 = 30<BR>\n" );
document.write( "6*6 = 36 ***\r<BR>\n" );
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document.write( "out of these only 8 generate a perfect square.\r<BR>\n" );
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document.write( "the probbility of getting a perfect square is therefore 8/36 = 4/18 = 2/9.\r<BR>\n" );
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document.write( "note that there are more possible factors of two number that equal a perfect square, but the highest factor has to be less than or equal to 6 which is the maximum number possible on one 6 sided die.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "16 = 1*16 or 2*8 ot 4*4 or 8*2 or 16*1\r<BR>\n" );
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document.write( "out of all these factors, only 1 is possible, which is 4*4.\r<BR>\n" );
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document.write( "the only one where all possible factors can be considered is 4.\r<BR>\n" );
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document.write( "4 is the product of 1*4 or 2*2 or 4*1.\r<BR>\n" );
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document.write( "all these factors are possible when you are throwing 2 die.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );