document.write( "Question 1209118: Box A contains nine cards numbered 1 through 9, and box B contains five cards
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\n" ); document.write( "an even number, another card is drawn from the same box; if the card shows an odd\r
\n" ); document.write( "\n" ); document.write( "number, a card is drawn from the other box.
\n" ); document.write( "(i) What is the probability that both cards show odd numbers?
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Algebra.Com's Answer #847699 by ikleyn(52855) $\"\"$ $\"About$

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\n" ); document.write( "Box A contains nine cards numbered 1 through 9, and box B contains five cards
\n" ); document.write( "numbered $\"highlight%281%29\"$ through 5. A box is chosen at random and a card drawn;
\n" ); document.write( "if the card shows an even number, another card is drawn from the same box;
\n" ); document.write( "if the card shows an odd number, a card is drawn from the other box.\r
\n" ); document.write( "\n" ); document.write( "(a) What is the probability that both cards show odd numbers?\r
\n" ); document.write( "\n" ); document.write( "(b) If both cards show odd numbers, what is the probability that they come from box B?\r
\n" ); document.write( "\n" ); document.write( "(c) What is the probability that both cards show even numbers?
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document.write( "(a)  If both cards show odd numbers, it means, according to the problem, that\r\n" );
document.write( "     either            first card is from box A, while second card is from box B\r\n" );
document.write( "     or (or exclusive) first card is from box B, while second card is from box A.\r\n" );
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document.write( "     Therefore,  P(a) =  +  =  = =  .\r\n" );
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document.write( "     Here the factor   is the probability to choose randomly box A first or (exclusively) box B first.\r\n" );
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document.write( "(b)  This probability is 0 (zero), since, by the meaning of the problem, this case is EXCLUDED/PROHIBITED.\r\n" );
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document.write( "(c)  If both cards show even numbers,  it means, according to the problem, that\r\n" );
document.write( "     either both cards are from box A or (or exclusive) both cards are from box B.\r\n" );
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document.write( "     Therefore,  \r\n" );
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document.write( "     P(c) =  +  =  +  = \r\n" );
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document.write( "          =  +  =  +  =  = .\r\n" );
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document.write( "     Again, here the factor   is the probability to choose randomly box A first or (exclusively) box B first.\r\n" );
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