document.write( "Question 1144943: Three cards are randomly selected from a deck of 52 cards. After every draw, the card is NOT replaced back in the deck. Find the probability of drawing a King, followed by an Ace, followed by a Queen. \n" ); document.write( "

Algebra.Com's Answer #766120 by Edwin McCravy(20056) $\"\"$ $\"About$

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Find the probability of drawing a King, followed by an Ace, followed by a Queen.
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document.write( "The probability of drawing a King from a 52-card deck is 4 Kings out of 52\r\n" );
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document.write( "That's 4/52 which reduces to 1/13.\r\n" );
document.write( "Since we don't replace the King, we now have a 51-card deck.\r\n" );
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document.write( "The probability of drawing an Ace second from a 51-card deck is 4 Aces out of 51\r\n" );
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document.write( "That's 4/51 which doesn't reduce.\r\n" );
document.write( "Since we don't replace the Ace, we now have a 50-card deck.\r\n" );
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document.write( "The probability of drawing a Queen third from a 50-card deck is 4 Queens out of\r\n" );
document.write( "50 cards.\r\n" );
document.write( "That's 4/50 which reduces to 2/25.\r\n" );
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document.write( "So the answer is (1/13)(4/51)(2/25) = 8/16575 which is approximately 0.0005.\r\n" );
document.write( "(Not very likely!!)\r\n" );
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document.write( "Edwin

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