document.write( "Question 1085138: We are drawing a single card from a standard 52-card deck. Find the following probability.
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document.write( "P( three | non face card) \n" );
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Algebra.Com's Answer #699179 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! P( three | non face card) \n" ); document.write( " \r\n" ); document.write( "The probability of drawing a three, given that it is a non face card.\r\n" ); document.write( "\r\n" ); document.write( "Here is the COMPLETE sample space of all 52 cards:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( "A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥ \r\n" ); document.write( "A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦\r\n" ); document.write( "A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠ \r\n" ); document.write( "A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣ \r\n" ); document.write( "\r\n" ); document.write( "Below is the reduced sample space found by taking away everything \r\n" ); document.write( "from the complete sample space that is not given. Here we are given \r\n" ); document.write( "that it is a non-face card, so we take away all 12 face cards, \r\n" ); document.write( "leaving the 40 non-face cards.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( "A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ \r\n" ); document.write( "A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦\r\n" ); document.write( "A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ \r\n" ); document.write( "A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ \r\n" ); document.write( "\r\n" ); document.write( "Now from that reduced sample space, only 4 of them are threes. So\r\n" ); document.write( "the probability is \"4 out of 40, or 4/40 which reduces to 1/10.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |