document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421491>Question 421491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a) A pair of fair dice is rolled ten times. Find the probability that ‘seven’ will show at<BR>\n" );
document.write( "least once. b) A pair of fair dice are rolled. What is probability that the second die lands on a<BR>\n" );
document.write( "higher value than does the first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294355 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=294355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) A pair of fair dice is rolled ten times. <BR>\n" );
document.write( "Find the probability that ‘seven’ will show at least once. <BR>\n" );
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document.write( "P(at least one 7 in 10) = 1 - P(no 7's in 10)<BR>\n" );
document.write( "= 1 - (5/6)^10<BR>\n" );
document.write( "= 1 - 0.1615<BR>\n" );
document.write( "= 0.8385<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "b) A pair of fair dice are rolled. What is probability that the second die lands on a higher value than does the first?<BR>\n" );
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document.write( "Expected value of 1st roll = (1+2+3+4+5+6)/6 = 21/6 = 7/2 = 3.5<BR>\n" );
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document.write( "P(2nd roll is more than 3.5) = P(4 or 5 or 6) = 3/6 = 1/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );