document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032922>Question 1032922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the experiment where a pair of fair dice is thrown. <BR>\n" );
document.write( " Let  X  denote the random variable whose <BR>\n" );
document.write( " value is determined by multiplying the number of spots showing on <BR>\n" );
document.write( " the one die by the number of spots showing on the other. <BR>\n" );
document.write( " The range of values that  X  can assume are the <BR>\n" );
document.write( " positive integers {1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36}. <BR>\n" );
document.write( " Please give the corresponding probabilities for the values of  X  given below.\r<BR>\n" );
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document.write( " Pr(X = 3) =   <BR>\n" );
document.write( " Pr(X = 4) =   <BR>\n" );
document.write( " Pr(X = 5) =   <BR>\n" );
document.write( " Pr(X = 6) =   <BR>\n" );
document.write( " Pr(X = 8) =   <BR>\n" );
document.write( " Pr(X = 9) =   <BR>\n" );
document.write( " Pr(X = 10) =   <BR>\n" );
document.write( " Pr(X = 12) =   <BR>\n" );
document.write( " Pr(X = 15) =   <BR>\n" );
document.write( " Pr(X = 16) =   <BR>\n" );
document.write( " Pr(X = 18) =   <BR>\n" );
document.write( " Pr(X = 20) =   <BR>\n" );
document.write( " Pr(X = 24) =   <BR>\n" );
document.write( " Pr(X = 25) =   <BR>\n" );
document.write( " Pr(X = 30) =   <BR>\n" );
document.write( " Pr(X = 36) =   <BR>\n" );
document.write( "Further, find the probability that  X  is divisible by 15. <BR>\n" );
document.write( " Probability that  X  is divisible by 15 equals. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647560 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=647560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the experiment where a pair of fair dice is thrown. <BR>\n" );
document.write( "Let X denote the random variable whose <BR>\n" );
document.write( "value is determined by multiplying the number of spots showing on <BR>\n" );
document.write( "the one die by the number of spots showing on the other. <BR>\n" );
document.write( "The range of values that X can assume are the <BR>\n" );
document.write( "positive integers {1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36}.<BR>\n" );
document.write( "1.... 1 way<BR>\n" );
document.write( "2.... 2 ways<BR>\n" );
document.write( "3.... 2 ways<BR>\n" );
document.write( "4.... 3 ways<BR>\n" );
document.write( "5.... 2 ways<BR>\n" );
document.write( "6.... 4 ways<BR>\n" );
document.write( "8.... 2 ways<BR>\n" );
document.write( "9.... 1 way<BR>\n" );
document.write( "10... 2 ways<BR>\n" );
document.write( "12....4 ways<BR>\n" );
document.write( "etc.  Figure these out up to 36 which can be gotten in 1 way<BR>\n" );
document.write( "Count the total # of ways the products can be gotten. (Ill call that \"n\")<BR>\n" );
document.write( " <BR>\n" );
document.write( "Please give the corresponding probabilities for the values of X given below. <BR>\n" );
document.write( "Pr(X = 3) = 2/n<BR>\n" );
document.write( "Pr(X = 4) = 3/n<BR>\n" );
document.write( "Pr(X = 5) = 2/n<BR>\n" );
document.write( "Pr(X = 6) = 4/n<BR>\n" );
document.write( "Pr(X = 8) = 2/n<BR>\n" );
document.write( "Pr(X = 9) = 1/n<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "Pr(X = 10) = <BR>\n" );
document.write( "Pr(X = 12) = <BR>\n" );
document.write( "Pr(X = 15) = <BR>\n" );
document.write( "Pr(X = 16) = <BR>\n" );
document.write( "Pr(X = 18) = <BR>\n" );
document.write( "Pr(X = 20) = <BR>\n" );
document.write( "Pr(X = 24) = <BR>\n" );
document.write( "Pr(X = 25) = <BR>\n" );
document.write( "Pr(X = 30) = <BR>\n" );
document.write( "Pr(X = 36) = 1/n<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "I'll leave the following to you::<BR>\n" );
document.write( "Further, find the probability that X is divisible by 15. <BR>\n" );
document.write( "Probability that X is divisible by 15 equals.\r<BR>\n" );
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document.write( "------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------- \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );