document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999875>Question 999875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8.) A bag contains fourteen yellow balls, two violet balls, and nine red balls. You pick one without looking. What is the probability that you will draw three red balls in a row?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617440 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52835)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=617440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8.) &nbsp;A bag contains fourteen yellow balls, two violet balls, and nine red balls. &nbsp;You pick one without looking. \r<BR>\n" );
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document.write( "What is the probability that you will draw three red balls in a row?<BR>\n" );
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document.write( "14 + 2 + 9 = 25.\r<BR>\n" );
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document.write( "The solution below assumes that you pick up the balls one after one and do not return them back.\r<BR>\n" );
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document.write( "The full space of events consists of combinations of &nbsp;25 &nbsp;things taken &nbsp;3&nbsp; at a time; &nbsp;i.e. &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B25%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B25%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;combinations.\r<BR>\n" );
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document.write( "Of them three red balls in a row you can choose by &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B9%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B9%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways.\r<BR>\n" );
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document.write( "Hence, &nbsp;the probability is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B9%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B9%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B25%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B25%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2A8%2A7%29%2F%281%2A2%2A3%29 ALIGN=MIDDLE  ALT=\"%289%2A8%2A7%29%2F%281%2A2%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2A24%2A23%29%2F%281%2A2%2A3%29 ALIGN=MIDDLE  ALT=\"%2825%2A24%2A23%29%2F%281%2A2%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2A8%2A7%29%2F%2825%2A24%2A23%29 ALIGN=MIDDLE  ALT=\"%289%2A8%2A7%29%2F%2825%2A24%2A23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A7%29%2F%2825%2A23%29 ALIGN=MIDDLE  ALT=\"%283%2A7%29%2F%2825%2A23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.036522 (approximately).\r<BR>\n" );
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