document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157012>Question 157012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey i will greatly appreciate it if you could help me with this probability question:\r<BR>\n" );
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document.write( "Two cards are drawn from a deck of 52 playing cards. Find the probability of each of the following events occuring:\r<BR>\n" );
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document.write( "a) Both cards are clubs<BR>\n" );
document.write( "b) Both cards are red<BR>\n" );
document.write( "c) Both cards are queens<BR>\n" );
document.write( "d) Both cards are red queens<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 #115771 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=115771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 52 cards in the deck (not counting the joker).<BR>\n" );
document.write( "4 suits with 13 cards each (ace through 10 + jack queen king)<BR>\n" );
document.write( "26 red<BR>\n" );
document.write( "4 queens<BR>\n" );
document.write( "2 red queens<BR>\n" );
document.write( "probability of drawing 2 clubs is (13/52) * (12/51)<BR>\n" );
document.write( "probability of drawing 2 red cards is (26/52) * (25/51)<BR>\n" );
document.write( "probability of drawing 2 queens is (4/52) * (3/51)<BR>\n" );
document.write( "probability of drawing 2 red queens is (2/52) * (1/51).<BR>\n" );
document.write( "here's how it works.<BR>\n" );
document.write( "the probability of any event happening is the number of ways it can happen divided by the total number of ways anything can happen.<BR>\n" );
document.write( "the probability of any 2 events happening is the probability of the first event happening times the probability of the second event happening.<BR>\n" );
document.write( "with the cards, there are 13 clubs in the deck.<BR>\n" );
document.write( "the probability of getting a club is 13 / 52 because there are 52 total cards in the deck.<BR>\n" );
document.write( "once the club has been taken, there are 12 clubs left in the deck and 51 cards total, so the probability of a club being taken again is 12 / 51.<BR>\n" );
document.write( "the probability of both events happening is the probability of the first event times the probability of the second event so the answer is (13/52) * (12/51).<BR>\n" );
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