document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=911584>Question 911584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider selecting one card at a time without replacement from a 52-card deck. Let event A be the first card is a heart, and event B be the second card is a heart<BR>\n" );
document.write( "1. What is the probability that the first card is a heart and the second card is also a heart(express in the simplest fraction form)\r<BR>\n" );
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document.write( "2. What is the probability that the second card is a heart, given that the first card is a heart (express the answer in simplest fraction form)\r<BR>\n" );
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document.write( "3. Are A and B independent? Why or Why not? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553187 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=553187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider selecting one card at a time without replacement from a 52-card deck. Let event A be the first card is a heart, and event B be the second card is a heart<BR>\n" );
document.write( " 1. What is the probability that the first card is a heart and the second card is also a heart(express in the simplest fraction form)<BR>\n" );
document.write( "Ans:: (4/52)(3/51) or 4C2/52C2 = 0.0045<BR>\n" );
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document.write( " 2. What is the probability that the second card is a heart, given that the first card is a heart (express the answer in simplest fraction form)<BR>\n" );
document.write( "P(heart | heart) = P(heart and heart)/P(heart) = 52C2/52C4 = 0.0049<BR>\n" );
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document.write( " 3. Are A and B independent? Why or Why not?<BR>\n" );
document.write( "Ans: no, because P(heart and heart) is not equal to P(heart | heart)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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