document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=341102>Question 341102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Of the 16 students at a party, 4 are from Colorado, 5 are from Utah, and 7 are from Ohio. Four students are selected at random from this group of 16 students. Find the following probablities:\r<BR>\n" );
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document.write( "a. All four of the students are from Ohio.\r<BR>\n" );
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document.write( "b. None of the students are from Utah.\r<BR>\n" );
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document.write( "c. At least one of the students is from Utah. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244239 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=244239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Of the 16 students at a party, 4 are from Colorado, 5 are from Utah, and 7 are from Ohio. Four students are selected at random from this group of 16 students. Find the following probablities: <BR>\n" );
document.write( "a. All four of the students are from Ohio.<BR>\n" );
document.write( "# of ways to pick 4 from 7: 7C4 = (7*6*5*4)/(1*2*3*4) = 35<BR>\n" );
document.write( "# of ways to randomly pick 4 from 16 = 16C4 = (16*15*14*13)(1*2*3*4) = 1820<BR>\n" );
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document.write( "P(pick 4 from Ohio) = 35/1820 = 0.0192<BR>\n" );
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document.write( "b. None of the students are from Utah.<BR>\n" );
document.write( "P(none from Utah) = 11C4/16C4 = 330/1820 =0.1813<BR>\n" );
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document.write( "c. At least one of the students is from Utah.<BR>\n" );
document.write( "P(at least one from U) = 1 - P(none from U)<BR>\n" );
document.write( "= 1 - 0.1813<BR>\n" );
document.write( "= 0.8187<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
document.write( " </SPAN>\n" );
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