document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193761>Question 1193761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If two tetrahedral dice is thrown , find the probability that <BR>\n" );
document.write( "1. the sum of the two scores is 5<BR>\n" );
document.write( "2. the difference of the two scores is 1<BR>\n" );
document.write( "3. the product of the two scores is 4<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 #825798 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=825798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Problem 1\r<BR>\n" );
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document.write( "I'm assuming the four sides of the tetrahedral dice are labeled 1,2,3,4<BR>\n" );
document.write( "There are two ways to sum to 5 and they are:<BR>\n" );
document.write( "1+4 = 5<BR>\n" );
document.write( "4+1 = 5\r<BR>\n" );
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document.write( "This is out of 4*4 = 16 ways to throw the two four-sided dice.\r<BR>\n" );
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document.write( "So 2/16 = 1/8 is the probability we want.\r<BR>\n" );
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document.write( "Answer: 1/8\r<BR>\n" );
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document.write( "Problem 2\r<BR>\n" );
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document.write( "Here are the ways to get a difference of 1, where the first die is larger than the second and I'm subtracting in the format first-second<BR>\n" );
document.write( "4-3 = 1<BR>\n" );
document.write( "3-2 = 1<BR>\n" );
document.write( "2-1 = 1\r<BR>\n" );
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document.write( "Now let's assume that the second die is the larger of the pair and we subtract using absolute value so we get a positive result<BR>\n" );
document.write( "|3-4| = 1<BR>\n" );
document.write( "|2-3| = 1<BR>\n" );
document.write( "|1-2| = 1<BR>\n" );
document.write( "again I'm subtracting in the format first-second, but the absolute value bars ensure the result is never negative.\r<BR>\n" );
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document.write( "We have 6 such ways to get the two dice to be separated by 1. This is out of the 4*4 = 16 ways to throw the two dice.\r<BR>\n" );
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document.write( "6/16 = 3/8\r<BR>\n" );
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document.write( "Answer: 3/8\r<BR>\n" );
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document.write( "Problem 3\r<BR>\n" );
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document.write( "Here are all of the ways the two dice could multiply to 4<BR>\n" );
document.write( "1*4 = 4<BR>\n" );
document.write( "2*2 = 4<BR>\n" );
document.write( "4*1 = 4<BR>\n" );
document.write( "There are 3 ways to get what we want out of 16 ways to throw the dice.\r<BR>\n" );
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document.write( "Answer: 3/16<BR>\n" );
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