document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252430>Question 252430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help.\r<BR>\n" );
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document.write( "Write each event in set notation and give the probability of the event. (1, 2, 3, 4, and 5)<BR>\n" );
document.write( "a.)  both slips are marked with even numbers.<BR>\n" );
document.write( "b.)  both slips are marked with odd numbers.<BR>\n" );
document.write( "c.)  both slips are marked with the same number.<BR>\n" );
document.write( "d.)  one slip is marked with odd number, the other with an even number.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184359 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=184359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let N = {1, 2, 3, 4, 5}\r<BR>\n" );
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document.write( "(a) without replacement - P(even and even) = 2/5 * 1/4 = 2/20 = 1/10.<BR>\n" );
document.write( "A = {(2,4), (4,2)}\r<BR>\n" );
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document.write( "(a) with replacement - P(even and even) = 2/5 * 2/5 = 4/25<BR>\n" );
document.write( "A = {(2,2), (2,4), (4,2), (4,4)}\r<BR>\n" );
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document.write( "(b) without replacement P(odd and odd) = 3/5 * 2/4 = 6/20 = 3/10<BR>\n" );
document.write( "B = {(1,3), (1,5), (3,1), (3,5), (5,1), (5,3)}<BR>\n" );
document.write( "(b) with replacement P(odd and odd) = 3/5 * 3/5 = 9/25<BR>\n" );
document.write( "B = {(1,1), (1,3), (1,5), (3,1), (3,3) (3,5), (5,1), (5,3), (5,5)}\r<BR>\n" );
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document.write( "(c) with replacement only: P (X and X) = 1/5 * 1/5 = 1/25<BR>\n" );
document.write( "C = {(1,1), (2,2), (3,3), (4,4), (5,5)} - -> only one choice can be used.\r<BR>\n" );
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document.write( "(d) without replacement - P(odd and even). This means P(odd and even) OR P(even and odd). So, we have 2 x P(even and odd).\r<BR>\n" );
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document.write( "without replacement - 2 x P(even and odd) = 2 * 2/5 * 3/4 = 12/20 = 3/5<BR>\n" );
document.write( "D = {(2,1), (2,3), (2,5), (4,1), (4,3), (4,5), (1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}\r<BR>\n" );
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document.write( "with replacement - 2 x P(even and odd) = 2 * 2/5 * 3/5 = 12/25.<BR>\n" );
document.write( "D = {(2,1), (2,3), (2,5), (4,1), (4,3), (4,5), (1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}\r<BR>\n" );
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document.write( "Hope that helps.<BR>\n" );
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