document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356433>Question 356433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 7 boys and 3 girls. If we randomly select 5 kids <BR>\n" );
document.write( "what is the probability that all 3 girls will be picked?<BR>\n" );
document.write( "What is the probablilty that none of the girls will be picked?<BR>\n" );
document.write( "What is the probability of 2 girls getting picked </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254470 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=254470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  There are 7 boys and 3 girls. If we randomly select 5 kids<BR>\n" );
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document.write( "Binomial problems with n = 5, p(boy) = 0.7, and P(girl) = 0.3<BR>\n" );
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document.write( "what is the probability that all 3 girls will be picked?<BR>\n" );
document.write( "# of ways to pick 3 girls and 2 boys = 1*7C2 = 21<BR>\n" );
document.write( "# of ways to pick 5 kids randomly: 10C5 = 252<BR>\n" );
document.write( "P(3 g and 2 b's) = 21/252 = 0.08333<BR>\n" );
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document.write( "What is the probability that none of the girls will be picked?<BR>\n" );
document.write( "P(o g and 5 b's) = 7C5/10C5 = 0.083333<BR>\n" );
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document.write( "What is the probability of 2 girls getting picked<BR>\n" );
document.write( "P(2 g's and 3 b's) = 3C2(0.3)^2(0.7)^3 = 0.0926<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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