document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050920>Question 1050920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help tutors ! Thanks\r<BR>\n" );
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document.write( "A math class consists of 22 students, 12 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). \r<BR>\n" );
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document.write( "What is the probability that a female is selected, then two males? <BR>\n" );
document.write( "What is the probability that two females are selected, then one male?What is the probability that three males are selected? <BR>\n" );
document.write( "What is the probability that three females are selected? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666601 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the first pick, with 12 females out of 22 students,<BR>\n" );
document.write( "the probability of picking one female is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F22 ALIGN=MIDDLE  ALT=\"12%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After that, for the second pick, with 10 males out of 21 available students,<BR>\n" );
document.write( "the probability of picking one male is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F21 ALIGN=MIDDLE  ALT=\"10%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After that second pick, you are left with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22-2=20 ALIGN=MIDDLE  ALT=\"22-2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > students, including <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-1=9 ALIGN=MIDDLE  ALT=\"10-1=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > males.<BR>\n" );
document.write( "So, for the third pick, with 9 males left out of 20 available students,<BR>\n" );
document.write( "the probability of picking one male is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F20 ALIGN=MIDDLE  ALT=\"9%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The probability that a female is selected, then two males is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F22%29%2A%2810%2F21%29%2A%289%2F20%29=12%2A10%2A9%2F%2822%2A21%2A20%29=highlight%289%2F77%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "For the first pick, with 12 females out of 22 students,<BR>\n" );
document.write( "the probability of picking one female is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F22 ALIGN=MIDDLE  ALT=\"12%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After that, for the second pick, with 11 females out of 21 available students,<BR>\n" );
document.write( "the probability of picking another female is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F21 ALIGN=MIDDLE  ALT=\"11%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After that second pick, you are left with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22-2=20 ALIGN=MIDDLE  ALT=\"22-2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > students, including 10 males.<BR>\n" );
document.write( "So, for the third pick, with 10 males left out of 20 available students,<BR>\n" );
document.write( "the probability of picking one male is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F20 ALIGN=MIDDLE  ALT=\"10%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then, the probability that two females are selected first, then one male is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F22%29%2A%2811%2F21%29%2A%2810%2F20%29=12%2A11%2A10%2F%2822%2A21%2A20%29=highlight%281%2F7%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "For the first pick, with 10 males out of 22 students,<BR>\n" );
document.write( "the probability of picking one female is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F22 ALIGN=MIDDLE  ALT=\"10%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After that, you are left with with 9 males out of 21 available students,<BR>\n" );
document.write( "and then the probability of picking another male is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F21 ALIGN=MIDDLE  ALT=\"9%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After that second pick, you are left with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22-2=20 ALIGN=MIDDLE  ALT=\"22-2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > students, including <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-2=8 ALIGN=MIDDLE  ALT=\"10-2=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > males.<BR>\n" );
document.write( "So, for the third pick, with 8 males left out of 20 available students,<BR>\n" );
document.write( "the probability of picking one more male is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F20 ALIGN=MIDDLE  ALT=\"8%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then, the probability that three males are selected is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2F22%29%2A%289%2F21%29%2A%288%2F20%29=10%2A9%2A8%2F%2822%2A21%2A20%29=highlight%286%2F77%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "For the first pick, with 12 females out of 22 students,<BR>\n" );
document.write( "the probability of picking one female is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F22 ALIGN=MIDDLE  ALT=\"12%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After that, for the second pick, with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12-1=11 ALIGN=MIDDLE  ALT=\"12-1=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > females out of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22-1=21 ALIGN=MIDDLE  ALT=\"22-1=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > students,<BR>\n" );
document.write( "the probability of picking another female is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F21 ALIGN=MIDDLE  ALT=\"11%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After that second pick, you are left with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22-2=20 ALIGN=MIDDLE  ALT=\"22-2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > students, including <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12-2=10 ALIGN=MIDDLE  ALT=\"12-2=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > females.<BR>\n" );
document.write( "So, for the third pick, with 10 females left out of 20 available students,<BR>\n" );
document.write( "the probability of picking one more female is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F20 ALIGN=MIDDLE  ALT=\"10%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So, the probability that three females are selected is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F22%29%2A%2811%2F21%29%2A%2810%2F20%29=12%2A11%2A10%2F%2822%2A21%2A20%29=highlight%281%2F7%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );