document.write( "Question 1182240: Every cereal box has a gift inside, but you cannot tell from the outside what the gift is.
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document.write( "The store manager assures you that 21 of the 42 boxes on the shelf have the secret decoder ring.
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document.write( "The other 21 boxes on the shelf have a different gift inside.
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document.write( "If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the decoder ring?
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document.write( "Round decimal to 4 places \n" );
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Algebra.Com's Answer #812213 by mathmate(429)![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( "21 of 42 boxes have ring. \n" ); document.write( "Once opened, cannot be replaced. \n" ); document.write( "Find probability that two randomly selected boxes both have the ring. \n" ); document.write( " \n" ); document.write( "Solution: \n" ); document.write( "probability that the first one is a ring \n" ); document.write( "= 21 out of 42 \n" ); document.write( "= 21/42 \n" ); document.write( "= 1/2 \n" ); document.write( "probability that the second box is a ring \n" ); document.write( "= 20 out of 41 \n" ); document.write( "= 20/41 \n" ); document.write( " \n" ); document.write( "Probability that both of them are rings, we use the multiplication rule to get \n" ); document.write( "P(R,R) \n" ); document.write( "= (1/2) * 20/41 \n" ); document.write( "= 10/41 \n" ); document.write( "= 0.24390... (approximately) \n" ); document.write( "= 0.2439 (to four decimal places) \n" ); document.write( " |