document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113532>Question 1113532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> STATISTICS. You shuffle a deck of playing card, and then start turning the cards one at a time. The first one is black. The second one is also a black card. So is the third, and this happens up to the 10th card. You start thinking “the next one will likely be red!”. Are you correct in this reasoning? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728579 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=728579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are 26 red cards and 26 black cards in the deck<BR>\n" );
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document.write( "you have turned over 10 black cars, that leaves 16 black cards in the deck and 42 cards in the deck<BR>\n" );
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document.write( "Probability (P) of drawing 10 black cards is (26/52) * (25/51) * (24/50) * (23/49) * (22/48) * (21/47) * (20/46) * (19/45) * (18/44) * (17/43) = 0.0003<BR>\n" );
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document.write( "P of drawing 11 black cards is 0.0003 * (16/42) = 0.000114286<BR>\n" );
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document.write( "P of drawing 10 black cards and the 11th is a red card = 0.0003 * (26/42) = 0.000185714<BR>\n" );
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document.write( "No - there is a small chance that the next card drawn will be red<BR>\n" );
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