document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166309>Question 166309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the expected value of the random variable in the experiment.<BR>\n" );
document.write( "Three cards are drawn from a deck without replacement. THe number of aces is counted.<BR>\n" );
document.write( "The choices are a) .2308 b) 1 c).2174 d)1.0134 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122578 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=122578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the expected value of the random variable in the experiment.<BR>\n" );
document.write( "Three cards are drawn from a deck without replacement. THe number of aces is counted.<BR>\n" );
document.write( "The choices are a) .2308 b) 1 c).2174 d)1.0134<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The results are 0,1,2, or 3 aces<BR>\n" );
document.write( "P(0 aces) = 48C3/52C3<BR>\n" );
document.write( "P(1 ace) =  3[4/52][48/51][47/50]<BR>\n" );
document.write( "P(2 aces) = 3[4/52][3/51][48/50]<BR>\n" );
document.write( "P(3 aces) = 3[4/52][3/51][2/50][48/49]<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "To get the expected value, multiply each \"result\" value by its probability<BR>\n" );
document.write( "and then add the 4 results. <BR>\n" );
document.write( "================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );