document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006522>Question 1006522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cuold you please help me understand what formula to use for this problem?\r<BR>\n" );
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document.write( "A warehouse employs 24 workers on first shift and 17 workers on second shift.  Eight workers are chosen at random to be interviewed about the work enviironment.  Find the probability of choosing six first-shift workers.\r<BR>\n" );
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document.write( "I tried this formula: 24C6*17C2/41C8.  The textbook shows the answer to be .192, but I could find no examples of this type of problem. \r<BR>\n" );
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document.write( "Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622644 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=622644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If this  does not fully explain what you did not learn or did not understand, feel free to ask me via a thank you note in this website.<BR>\n" );
document.write( " <BR>\n" );
document.write( "There is a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2B17=41 ALIGN=MIDDLE  ALT=\"24%2B17=41\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers.<BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41C8=41%21%2F%28%2841-8%29%218%21%29=41%21%2F%2833%218%21%29=95548245 ALIGN=MIDDLE  ALT=\"41C8=41%21%2F%28%2841-8%29%218%21%29=41%21%2F%2833%218%21%29=95548245\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible different sets of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers that can be made from those <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41 ALIGN=MIDDLE  ALT=\"41\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers.<BR>\n" );
document.write( "Some of those <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95548245 ALIGN=MIDDLE  ALT=\"95548245\"   DISABLED_style= \"max-width:90%; height:auto;\" > sets will have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers on first shift and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17 ALIGN=MIDDLE  ALT=\"17\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers on second shift.<BR>\n" );
document.write( "How many such sets are possible?<BR>\n" );
document.write( "Since there are <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C6=24%21%2F%28%2824-6%29%216%21%29=24%21%2F%2818%218%21%29=134596 ALIGN=MIDDLE  ALT=\"24C6=24%21%2F%28%2824-6%29%216%21%29=24%21%2F%2818%218%21%29=134596\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible different sets of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers that can be made from the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers on first shift and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17C2=17%21%2F%28%2817-2%29%212%21%29=17%21%2F%2815%212%21%29=136 ALIGN=MIDDLE  ALT=\"17C2=17%21%2F%28%2817-2%29%212%21%29=17%21%2F%2815%212%21%29=136\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible different sets of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers that can be made from the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17 ALIGN=MIDDLE  ALT=\"17\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers on second shift,<BR>\n" );
document.write( "there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C6%2A17C2 ALIGN=MIDDLE  ALT=\"24C6%2A17C2\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible different sets of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers made up of exactly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers from first shift and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers from second shift.<BR>\n" );
document.write( "Those <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C6%2A17C2 ALIGN=MIDDLE  ALT=\"24C6%2A17C2\"   DISABLED_style= \"max-width:90%; height:auto;\" > sets are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C6%2A17C2%2F41C8 ALIGN=MIDDLE  ALT=\"24C6%2A17C2%2F41C8\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the total <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41C8 ALIGN=MIDDLE  ALT=\"41C8\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible sets of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers,<BR>\n" );
document.write( "and that fraction is the probability of getting exactly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers from first shift and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > workers from second shift:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C6%2A17C2%2F41C8=95548245%2F%28134596%2A136%29=0.191579196 ALIGN=MIDDLE  ALT=\"24C6%2A17C2%2F41C8=95548245%2F%28134596%2A136%29=0.191579196\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28rounded%29=approximately0.192 ALIGN=MIDDLE  ALT=\"%28rounded%29=approximately0.192\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "CAUTION:<BR>\n" );
document.write( "Beware of a common mistake.<BR>\n" );
document.write( "If you try entering that calculation into your calculator, you must enter<BR>\n" );
document.write( "95548245 / ( 134596 X 136 ) =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95548245%2F%28134596%2A136%29 ALIGN=MIDDLE  ALT=\"95548245%2F%28134596%2A136%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "95548245 / 134596 / 136 =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2895548245%2F134596%29%29%2F136=%2895548245%2F134596%29%2A%281%2F136%29=95548245%2F%28134596%2A136%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because that long horizontal line between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95548245 ALIGN=MIDDLE  ALT=\"95548245\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=134596%2A136 ALIGN=MIDDLE  ALT=\"134596%2A136\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=134596%2A136 ALIGN=MIDDLE  ALT=\"134596%2A136\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be calculated first, so in other words<BR>\n" );
document.write( "that line implies the parentheses around <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=134596%2A136 ALIGN=MIDDLE  ALT=\"134596%2A136\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "If you do not enter the parentheses, you are doing the indicated operations in order from left to right:<BR>\n" );
document.write( "you are first dividing by 134596,<BR>\n" );
document.write( "and then multiplying the result times 136, so you get<BR>\n" );
document.write( "95548245 / 134596 X 136 =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2895548245%2F134596%29%2A136=96544.93 ALIGN=MIDDLE  ALT=\"%2895548245%2F134596%29%2A136=96544.93\"   DISABLED_style= \"max-width:90%; height:auto;\" >(rounded) ,<BR>\n" );
document.write( "which is ridiculous, because probabilities cannot be more than 1.00. </SPAN>\n" );
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