document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037601>Question 1037601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose you have 2 jars with the following contents, Jar 1 has 5 white balls and 4 black balls. Jar 2 has 7 white balls and 2 black balls. One jar is selected, then one ball is to be drawn from the selected jar. The probabilities of choosing Jar 1 is 1/4 and Jar 2 is 3/4. <BR>\n" );
document.write( "A) Find the probability that a marble is chosen from Jar 1 and that it is black<BR>\n" );
document.write( "B) Find the probability that a marble was chosen from jar 2 and that it is white<BR>\n" );
document.write( "C) Find the probability that a black marble was chosen given that it is from jar 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652208 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=652208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> suppose you have 2 jars with the following contents, Jar 1 has 5 white balls and 4 black balls. Jar 2 has 7 white balls and 2 black balls. One jar is selected, then one ball is to be drawn from the selected jar. The probabilities of choosing Jar 1 is 1/4 and Jar 2 is 3/4. <BR>\n" );
document.write( "A) Find the probability that a marble is chosen from Jar 1 and that it is black<BR>\n" );
document.write( "P(JarI and black) = (1/4)(4/9) = 1/9<BR>\n" );
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document.write( "B) Find the probability that a marble was chosen from jar 2 and that it is white<BR>\n" );
document.write( "P(JarII and white) = (3/4)(7/9) = 21/36 = 7/9<BR>\n" );
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document.write( "C) Find the prob that a black marble was chosen given that it is from jar 2.<BR>\n" );
document.write( "P(black | JarII) = P(black and JarII)/P(Jar II) = (2/9)/(3/4) = 8/27<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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