document.write( "Question 1178073: A box contains 3 blue and 4 red marbles while another box contains 2 blue and 5 red marbles. A marble drawn at random from one of the boxes turns out to be blue. What is the probability that it came from the first box? \n" ); document.write( "

Algebra.Com's Answer #807238 by ikleyn(53765) $\"\"$ $\"About$

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\n" ); document.write( "A box contains 3 blue and 4 red marbles while another box contains 2 blue and 5 red marbles. A marble drawn at random
\n" ); document.write( "from one of the boxes turns out to be blue. What is the probability that it came from the first box?
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document.write( "You can compute this probability in two different ways.\r\n" );
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document.write( "One way is  P =  =  =  =  =  = 0.6 = 60%.\r\n" );
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document.write( "This formula is the version of the conditional probability in the full space of events.\r\n" );
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document.write( "The other way is P =  =  =  = 0.6 = 60%.\r\n" );
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document.write( "This formula is the version of the conditional probability in the reduced space of events.\r\n" );
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document.write( "    Both formulas are SELF-EXPLANATORY,\r\n" );
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document.write( "    and both formulas give THE SAME answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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