document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141623>Question 1141623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 24 pieces of fruit: 7 cherry, 8 orange and 9 lemon. If no cherries are sold, what is the minimum number of lemons that can be sold in order to increase the probability of picking out a cherry to 50%?<BR>\n" );
document.write( "A)0<BR>\n" );
document.write( "B)1<BR>\n" );
document.write( "C)2<BR>\n" );
document.write( "D)3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762219 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=762219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"times\" color=\"black\" size=\"3\"><BR>\n" );
document.write( "Unfortunately none of these choices work. Let's go through them one by one to see why. \r<BR>\n" );
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document.write( "<ol type=\"A\"><li>If you sold 0 lemons, then the chances of picking a cherry are 7/24 = 0.2917 = 29.17% approximately</li><li>If you sold 1 lemon, then the chances of picking a cherry are 7/23 = 0.3043 = 30.43% approximately</li><li>If you sold 2 lemons, then the chances of picking a cherry are 7/22 = 0.3182 = 31.82% approximately</li><li>If you sold 3 lemons, then the chances of picking a cherry are 7/21 = 1/3 = 0.3333 = 33.33% approximately</li></ol>As you can see, we don't get anywhere close to 50%. The highest we get is roughly 33.33%\r<BR>\n" );
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document.write( "So there seems to be a typo with this problem. Please ask your teacher for clarification and/or corrections. \r<BR>\n" );
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document.write( "Side note: If we sold all 9 lemons, then the only way to have a 50% shot at getting a cherry is that we must have the same number of cherries and oranges. The fact that we have 7 cherries and 8 oranges means that the chances of picking a cherry are less than 50%. This is because there are less cherries compared to oranges.<BR>\n" );
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