document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329566>Question 329566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> on a basket of 50 oranges 8 are rotten. What is the probability of picking 2 rotten if  4 are picked from the basket? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237060 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=237060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A couple of ways to do this\r<BR>\n" );
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document.write( "let R =event of picking a rotten orange,  G=the event of picking a good orange\r<BR>\n" );
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document.write( "1. You want RRGG but there are 4C2 ways to get to RR out of a sample of 4.<BR>\n" );
document.write( "Each time you select without replacement the number available dwindles by one.<BR>\n" );
document.write( "P(2 rotten out of 4) = 4C2RRGG = 6* 8/50*7/49*42*48*41/47 =0.105 \r<BR>\n" );
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document.write( "2. The ways to select 2 rotten = 8C2=28, ways to select 2 good ones 42C2=861<BR>\n" );
document.write( "   The ways to select 4 oranges out of 50 = 50C4=230,300\r<BR>\n" );
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document.write( "P(2 rotten out of 4) = 8C2*42C2/50C4= 28*861/230300=0.105<BR>\n" );
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