document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326600>Question 326600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you draw a card from a 52 card deck what is the probability of drawing a jack of hearts given\r<BR>\n" );
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document.write( "a)The Card drawn is a red card<BR>\n" );
document.write( "b)The card drawn is a heart<BR>\n" );
document.write( "c)The card drawn is a jack<BR>\n" );
document.write( "d)The card drawn is a spade\r<BR>\n" );
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document.write( "What I've tried so far.<BR>\n" );
document.write( "a)On this problem I'm not sure what kind of prob to use. wether the fraction or nCr.  But the way I approached this problem I did prob of a jack of hearts is 1/52 since there is only one of that specific card. And the card is a red card is half of that since it's either black or red. so 1/26 is my guess. <BR>\n" );
document.write( "However, for b), I am not sure how to get the answer there. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233842 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=233842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "If you just draw a card out of a deck, then yes the probability that it is the jack of hearts is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{52}\">.  There is exactly 1 jack of hearts and there are 52 possibilities.\r<BR>\n" );
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document.write( "But the first three givens change your denominator.  There are only 26 red cards, 13 hearts, and 4 jacks, so <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{26}\">, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{13}\">, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{4}\">.\r<BR>\n" );
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document.write( "The last given changes both numerator and denominator.  There are 13 spades so your denominator goes to 13, but zero of the spades are the jack of hearts, hence <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{0}{13}\"> -- guaranteed to lose.  \r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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