document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=677643>Question 677643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> could someone help me with this? please<BR>\n" );
document.write( "We have a small deck of ten cards.  Four of the cards have the number 1 on them, three cards have the number 2, two cards have the number 3 and one card has the number 4.  We will shuffle the deck and randomly select two of the cards (without replacement).  <BR>\n" );
document.write( "(a)  The outcome of interest is the number on each of the two cards we select.  List the complete sample space of outcomes.<BR>\n" );
document.write( "(b)  What is the probability of selecting two of the same number?<BR>\n" );
document.write( "(c)  What is the probability that the number on the second selected card is greater than the number on the first selected card?<BR>\n" );
document.write( "(d)  Let X be the minimum of the two numbers on the selected cards.  Find the probability distribution of X.<BR>\n" );
document.write( "(e)  What is the probability that X = 2 if no 3's are selected?<BR>\n" );
document.write( "(f)  Find the expected value of X.<BR>\n" );
document.write( "(g)  Find the variance of X. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420986 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=420986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four of the cards have the number 1 on them, three cards have the number 2, two cards have the number 3 and one card has the number 4. We will shuffle the deck and randomly select two of the cards (without replacement). <BR>\n" );
document.write( "(a) The outcome of interest is the number on each of the two cards we select. List the complete sample space of outcomes.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Comment: The sample space has 10 ways to list the 1st number of the pair<BR>\n" );
document.write( "and 9 ways to list the 2nd number of the pair. So it has 90 pairs.<BR>\n" );
document.write( "I'm not go list all those but you should so you can figure out the answers<BR>\n" );
document.write( "to b,c,d, etc.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );