document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21668>Question 21668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the experiment of rolling two fair dice.<BR>\n" );
document.write( "a. What is the probability that you get either: \"snake eyes\" of \"double boxcars\"?<BR>\n" );
document.write( "b. What is the probability that the total number of points shown on these two dice is a perfect square?<BR>\n" );
document.write( "c. What is the probability that the total number of points shown on these two dice is a prime number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11560 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SEE BELOW\r<BR>\n" );
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document.write( "Consider the experiment of rolling two fair dice.<BR>\n" );
document.write( "a. What is the probability that you get either: \"snake eyes\" of \"double boxcars\"?<BR>\n" );
document.write( "I TRUST YOU MEAN GETTING A ONE ON EAH DICE OR GETTING A TWO ON EACH DICE..PLEASE CONFIRM THIS NOMENCLTURE.IN ANY CASE YOU CN USE THE METHOD GIVN BELOW TO SOLVE ANY PROBLEM<BR>\n" );
document.write( "LET US FIRST FIND OTAL NUMBER OF POSSIBILITEIES..FOR EACH NUMBER LIKE SAY 1 (OR 2 OR 3....)APPEARING ON DICE NO.ONE,THERE ARE 6 POSSIBILITIES OF  GETTING NUMBERS 1 TO 6 ON DICE NO.TWO...SO THERE ARE 6*6=36 TOTAL POSSIBLE OUT COMES IN A THROW OF 2 DICE.....N=36<BR>\n" );
document.write( "SUCCESSFULL OUT COMES ARE ONLY 2 NAMELY 1 AND 1 APPEARING OR 2 ND 2 APPEARING SO <BR>\n" );
document.write( "S=2<BR>\n" );
document.write( "PROBABILIY OF SUCCESS =S/N=2/36=1/18 <BR>\n" );
document.write( "b. What is the probability that the total number of points shown on these two dice is a perfect square?..TOTAL NUMBER OF POINTS ON 2 DICE WILL VARY FROM MIMNIMUM OF 1+1=2 TO 6+6 =12...F THESE PERFECT SQUARES ARE 4 AND 9 ONLY..<BR>\n" );
document.write( "NOW WE CAN GET 4 BY 1+3,OR 2+2 OR 3+1...IN 3 WAYS <BR>\n" );
document.write( "AND WE CN GET 9 BY 3+6,4+5,5+4,6+3....IN 4 WAYS<BR>\n" );
document.write( "SO TOTAL SUCCESSFULL WAYS =3+4=7<BR>\n" );
document.write( "SO PROBABILIY OF GETTING PERFECT SQUARE =7/36<BR>\n" );
document.write( "c. What is the probability that the total number of points shown on these two dice is a prime number?....AS BOVE PIME NUMBERS BETWEEN 2 AND 12 ARE 2,3,5,7,11<BR>\n" );
document.write( "2 CAN BE GOT BY 1+1........IN 1 WAY<BR>\n" );
document.write( "3 CAN BE GOT BY 1+2,2+1.......2 WAYS<BR>\n" );
document.write( "5 CAN BE GOT BY 1+4,2+3,3+2,4+1....4 WAYS <BR>\n" );
document.write( "7 CAN BE GOT IN 1+6,2+5,3+4,4+3,5+2,6+1......6 WAYS<BR>\n" );
document.write( "11 CN BE GOT IN  5+6,6+5...2 WAYS<BR>\n" );
document.write( "SO TOTAL SUCCESSFULL WYS ARE 1+2+4+6+2=15 WAYS<BR>\n" );
document.write( "SO PROBABILITY =15/36=5/12 </SPAN>\n" );
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