document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=327037>Question 327037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twelve $5-bills, eight $10-bills, and five $20-bills are put into a bag and shaken up.  You get to reach in and pull out two of the bills without looking.  What is the probability you get a total of at least $20?\r<BR>\n" );
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document.write( "a 46%   b 54%   c 66 2/3%   d 33 1/3%   e 60%\r<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 #234303 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=234303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12 $5, 8 $10, 5 $20=25 bills total<BR>\n" );
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document.write( "Remember for the second probability, the total number of bills is reduced by 1.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%285%2C5%29=P%285%29%2AP%285%29=+%2812%2F25%29%2A%2811%2F24%29=11%2F50 ALIGN=MIDDLE  ALT=\"P%285%2C5%29=P%285%29%2AP%285%29=+%2812%2F25%29%2A%2811%2F24%29=11%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%285%2C10%29=P%285%29%2AP%2810%29=%2812%2F25%29%2A%288%2F24%29=8%2F50 ALIGN=MIDDLE  ALT=\"P%285%2C10%29=P%285%29%2AP%2810%29=%2812%2F25%29%2A%288%2F24%29=8%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%285%2C20%29=P%285%29%2AP%2820%29=%2812%2F25%29%2A%285%2F24%29=1%2F10 ALIGN=MIDDLE  ALT=\"P%285%2C20%29=P%285%29%2AP%2820%29=%2812%2F25%29%2A%285%2F24%29=1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2810%2C5%29=P%2810%29%2AP%285%29=+%288%2F25%29%2A%2812%2F24%29=8%2F50 ALIGN=MIDDLE  ALT=\"P%2810%2C5%29=P%2810%29%2AP%285%29=+%288%2F25%29%2A%2812%2F24%29=8%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2810%2C10%29=P%2810%29%2AP%2810%29=+%288%2F25%29%2A%287%2F24%29=7%2F75 ALIGN=MIDDLE  ALT=\"P%2810%2C10%29=P%2810%29%2AP%2810%29=+%288%2F25%29%2A%287%2F24%29=7%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2810%2C20%29=P%2810%29%2AP%2820%29=+%288%2F25%29%2A%285%2F24%29=1%2F15 ALIGN=MIDDLE  ALT=\"P%2810%2C20%29=P%2810%29%2AP%2820%29=+%288%2F25%29%2A%285%2F24%29=1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2820%2C5%29=P%2820%29%2AP%285%29=+%285%2F25%29%2A%2812%2F24%29=1%2F10 ALIGN=MIDDLE  ALT=\"P%2820%2C5%29=P%2820%29%2AP%285%29=+%285%2F25%29%2A%2812%2F24%29=1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "8.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2820%2C10%29=P%2820%29%2AP%2810%29=%285%2F25%29%2A%288%2F24%29=1%2F15 ALIGN=MIDDLE  ALT=\"P%2820%2C10%29=P%2820%29%2AP%2810%29=%285%2F25%29%2A%288%2F24%29=1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2820%2C20%29=P%2820%29%2AP%2820%29=%285%2F25%29%2A%284%2F24%29=1%2F30 ALIGN=MIDDLE  ALT=\"P%2820%2C20%29=P%2820%29%2AP%2820%29=%285%2F25%29%2A%284%2F24%29=1%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If you add all of these probabilities together, you will get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since these outcomes represent all of the possible outcomes. <BR>\n" );
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document.write( "Now find, the ones that sum to at least $20 and add up their probabilities.<BR>\n" );
document.write( "3,5,6,7,8,9 all sum to at least $20. Add up all of their probabilities or you could add 1,2, and 4 probabilities and subtract from 1.<BR>\n" );
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document.write( "P(>=$20)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2F50 ALIGN=MIDDLE  ALT=\"23%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > or 46% </SPAN>\n" );
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