document.write( "Question 215650: YOU DRAW 2 CARDS FROM A STANDARD DECK WITHOUT REPLACEMENT. DETERMINE THE PROBABILITY THAT:
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document.write( "A. BOTH ARE DIAMONDS
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document.write( "B. NEITHER IS A DIAMOND
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document.write( "C. BOTH ARE OF THE SAME SUIT
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document.write( "D. BOTH ARE OF THE SAME SUIT, GIVEN THAT THE FIRST DRAWN IN A CLUB
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document.write( "E. THEY ARE NOT OF THE SAME SUIT
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document.write( "F. THEY ARE NOT OF THE SAME SUIT, GIVEN THAT THE FIRST DRAWN IN A CLUB. \n" );
document.write( "
Algebra.Com's Answer #162972 by stanbon(75887) ![]() You can put this solution on YOUR website! YOU DRAW 2 CARDS FROM A STANDARD DECK WITHOUT REPLACEMENT. DETERMINE THE PROBABILITY THAT: \n" ); document.write( "A. P(BOTH ARE DIAMONDS) = 13C2/52C2 = 78/1326 = 0.0588... \n" ); document.write( "------------------------------------------------------------------ \n" ); document.write( "B. EITHER IS A DIAMOND = 1 - 0.0588 = 0.9412 \n" ); document.write( "------------------------------------------------------------------ \n" ); document.write( "C. BOTH ARE OF THE SAME SUIT = 4*0.0588 = 0.2353 \n" ); document.write( "------------------------------------------------------------------ \n" ); document.write( "D. BOTH ARE OF THE SAME SUIT, GIVEN THAT THE FIRST DRAWN IN A CLUB \n" ); document.write( "P(C|C| = (13/52) * (12/51) = 0.0588... \n" ); document.write( "------------------------------------------------------------------ \n" ); document.write( "E. THEY ARE NOT OF THE SAME SUIT = 1 - 0.0588 = 0.9412.. \n" ); document.write( "---------------------------------------------------------- \n" ); document.write( "F. THEY ARE NOT OF THE SAME SUIT, GIVEN THAT THE FIRST DRAWN IS A CLUB. \n" ); document.write( "P(not club|Club) = 12/51*13/52 = 0.0588 \n" ); document.write( "================================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " ==================== \n" ); document.write( " |