document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196063>Question 1196063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A child has three bags of fruits in which Bag 1 has 5 apples and 3 oranges, Bag 2 has 4 apples and 5 oranges and Bag 3 has 2 apples and 3 oranges. One fruit is drawn at random from one of the bags. It was an apple. Please calculate the probability that the chosen fruit was apple and was drawn from Bag 3. </SPAN>\n" );
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document.write( "Edit: Corrected an earlier mistake. \r<BR>\n" );
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document.write( "Bag 1 has 5 apples and 3 oranges<BR>\n" );
document.write( "Bag 2 has 4 apples and 5 oranges<BR>\n" );
document.write( "Bag 3 has 2 apples and 3 oranges\r<BR>\n" );
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document.write( "We're given this info:<BR>\n" );
document.write( "One fruit is drawn at random from one of the bags. <b><u>It was an apple.</u></b><BR>\n" );
document.write( "So we know 100% that the fruit was an apple. The only thing to figure out is the probability it came from bag 3.\r<BR>\n" );
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document.write( "There are <BR>\n" );
document.write( "5 apples in bag 1<BR>\n" );
document.write( "4 apples in bag 2<BR>\n" );
document.write( "2 apples in bag 3<BR>\n" );
document.write( "That's 5+4+2 = 11 apples total\r<BR>\n" );
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document.write( "This is our sample space. It's our entire universe because we know 100% we picked an apple. So we ignore the oranges entirely.\r<BR>\n" );
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document.write( "Of the 11 apples in the universal set, 2 are from bag 3\r<BR>\n" );
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document.write( "Answer: 2/11<BR>\n" );
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