document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=593109>Question 593109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose an opaque jar contains 5 red marbles and 10 green marbles. I experiment picking 2 marbles from the jar without replacing the first one.\r<BR>\n" );
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document.write( "1. What is the probability of getting a green marble first and a red marble second?\r<BR>\n" );
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document.write( "2. What is the probability of getting a green marble and a red marble? How is this different from question #1?\r<BR>\n" );
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document.write( "For the 1st question I did this: (5x10)/(15x14)= 50/210 = 5/21 (am pretty sure that is right)<BR>\n" );
document.write( "For the 2nd question I am stumped...I thought it would be the same answer but something keeps nagging at me that I am missing something. I thought about this: (5)squared +(10)squared/(15x14) = 125/210.595 or 59.5% I really don't understand how the questions are that different..or at least I know they are asking 2 different probable outcomes but don't know how to explain the difference. Can you please help me? Thanks!<BR>\n" );
document.write( "Glennys\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376211 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=376211\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose an opaque jar contains 5 red marbles and 10 green marbles. I experiment picking 2 marbles from the jar without replacing the first one. <BR>\n" );
document.write( "1. What is the probability of getting a green marble first and a red marble second?<BR>\n" );
document.write( "Ans: (10/15)(5/14) = 50/210 = 5/21<BR>\n" );
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document.write( "2. What is the probability of getting a green marble and a red marble? How is this different from question #1?<BR>\n" );
document.write( "# of ways to succeed: 5*10 = 50<BR>\n" );
document.write( "# of random pairs: 15C2 = 105<BR>\n" );
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document.write( "P(red AND green) = 50/105 = 10/21<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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