document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014901>Question 1014901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A card is chosen from a deck of cards and returned. In a total of 54 trials, 38 red  cards were chosen.\r<BR>\n" );
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document.write( "a) Write the experimental probability of choosing a red card, expressed as a decimal<BR>\n" );
document.write( "b) Write the Theoretical probability of choosing a red card, expressed as a decimal.<BR>\n" );
document.write( "c) Explain how you might get the results from part a) closer to the results for part b) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631225 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)  The experimental probability should be 38/54, or 0.7037\r<BR>\n" );
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document.write( "b)  The theoretical probability is 1/2, or 0.50.  (Exactly half of all the cards are red.)\r<BR>\n" );
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document.write( "c)  Just increase the number of trials in the experiment.  Each drawing (with replacement) is a Bernoulli trial with favorable probability of 0.50, and so the Central Limit Theorem assures us that if we draw often enough, the average should be close to 0.50. </SPAN>\n" );
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