document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302071>Question 302071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose 5 fair 6-sided dice are thrown at a time and they are independant of each other. What is the probability that exactly 3 of the dice are 1's? What is the probabilty that exactly 3 of the dice are any of the same number?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216615 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=216615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose 5 fair 6-sided dice are thrown at a time and they are independant of each other. <BR>\n" );
document.write( "What is the probability that exactly 3 of the dice are 1's? <BR>\n" );
document.write( "Binomial Problem with n = 5 ; p = 1/6 ; x = 3<BR>\n" );
document.write( "P(x=3) = 5C3*(1/6)^3(5/6)^2 = 0.0322<BR>\n" );
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document.write( "What is the probabilty that exactly 3 of the dice are any of the same number? <BR>\n" );
document.write( "Ans: The results are mutually exclusive.<BR>\n" );
document.write( "Ans: 6(0.0322) = 0.1929<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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