document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257524>Question 257524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question involves Binomial Distribution..<BR>\n" );
document.write( "An urn contains 10 red balls and 5 blue balls. Five balls are chosen at random with replacement from this urn. <BR>\n" );
document.write( "(a) What is the probability that all five balls drawn are red? <BR>\n" );
document.write( "(b) What is the probability that among those five there are at least one red ball and also at least one blue ball? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189435 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=189435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An urn contains 10 red balls and 5 blue balls. Five balls are chosen at random with replacement from this urn. <BR>\n" );
document.write( "(a) What is the probability that all five balls drawn are red?<BR>\n" );
document.write( "n = 5 ; p = 2/3 ; x = 5<BR>\n" );
document.write( "P(5 red) = (2/3)^5 = 0.1317<BR>\n" );
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document.write( "(b) What is the probability that among those five there are at least one red ball and also at least one blue ball?<BR>\n" );
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document.write( "P(no red in 5) = (1/3)^5<BR>\n" );
document.write( "P(no blue in 5) = (2/3)^5<BR>\n" );
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document.write( "P(at least one red and one blue) = 1 - [(1/3)^5 + (2/3)^5]<BR>\n" );
document.write( "= 0.86419..<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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