document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177400>Question 177400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Last one...<BR>\n" );
document.write( "3 dice are tossed - what is probability a) only two 5s b) at least two 5s c)three 5s d) no 5s\r<BR>\n" );
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document.write( "1 five - 1 dice = 1/5 right?  what's next? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132447 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=132447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3 dice are tossed - \r<BR>\n" );
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document.write( "what is probability <BR>\n" );
document.write( "a) only two 5s <BR>\n" );
document.write( "The probability of getting a 5 with one die is 1/6<BR>\n" );
document.write( "P(two 5's on three dice) = 3C2(1/6)^2*(5/6) = 3*(7/6^3) = 0.097222...<BR>\n" );
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document.write( "b) at least two 5s<BR>\n" );
document.write( "P(at least 2) = P(2 5's) + P(3 5's) = 0.097222 + 3C3((1/6)^3 = 1*(1/216)<BR>\n" );
document.write( "= 0.9768...<BR>\n" );
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document.write( "c)three 5s <BR>\n" );
document.write( "P( 3 5's) = 1/6^3 = 1/216 = 0.0046296..<BR>\n" );
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document.write( "d) no 5s<BR>\n" );
document.write( "P( no 5's) = (5/6)^3 = 0.5787037..<BR>\n" );
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document.write( "1 five - 1 dice = 1/6 But one five on 3 dice is not 1/5, it is<BR>\n" );
document.write( "3C1(1/6)^1(5/6)^2 = 75/216 = 0.3472222<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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