document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136030>Question 136030</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030416582/algebrahomeworkh>Holt Algebra I Texas</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A number cube is rolled three times. What is the probability of rolling a 5 at least once?<BR>\n" );
document.write( "I know that everytime there is a 1 in 6 chance of getting a 5.  So in three rolls that would be 3 chances in 18.  So to get it at least once-would it be a 1 in 18 chance? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99657 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=99657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A number cube is rolled three times. What is the probability of rolling a 5 at least once?<BR>\n" );
document.write( "I know that everytime there is a 1 in 6 chance of getting a 5. So in three rolls that would be 3 chances in 18. So to get it at least once-would it be a 1 in 18 chance?<BR>\n" );
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document.write( "Your problem is called a binomial problem because with each roll of the <BR>\n" );
document.write( "dice you either get a 5 or you don't.<BR>\n" );
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document.write( "You want the probability of getting one five, or two fives, or three fives<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The only thing you do not want is no-fives in three rolls.<BR>\n" );
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document.write( "So the way this problem is done is to figure out the problem of no-fives<BR>\n" );
document.write( "in three rolls, which is (5/6)^3, and then subtract that from \"1\" which<BR>\n" );
document.write( "covers the probability for all the possible 3-throw outcomes.<BR>\n" );
document.write( "So you get P(at least one 5 in three throws) = 1-(5/6)^3 = 0.4213...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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