document.write( "Question 201490: Consider a standard deck of playing cards (52 cards, no jokers). If you draw one card, what is the probability that the card is:
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document.write( "a. a spade?
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document.write( "b. a seven (7)?
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document.write( "c. a seven (7) and a spade?
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document.write( "d. a seven (7) or a spade?
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Algebra.Com's Answer #151699 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! Consider a standard deck of playing cards (52 cards, no jokers). If you draw one card, what is the probability that the card is: \n" ); document.write( "a. a spade? \n" ); document.write( " \r\n" ); document.write( "There are 13 spades out of 52 cards, so we put 13 over 52 and reduce:\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "b. a seven (7)? \n" ); document.write( " \r\n" ); document.write( "There are 4 7's out of 52 cards, so we put 4 over 52 and reduce:\r\n" ); document.write( " \n" ); document.write( "c. a seven (7) and a spade? \n" ); document.write( " \r\n" ); document.write( "There is just one car that is both a 7 and a spade and\r\n" ); document.write( "that is the 1 card the 7 of spades. So we put 1 over 52:\r\n" ); document.write( " \n" ); document.write( "d. a seven (7) or a spade? \n" ); document.write( " \r\n" ); document.write( "Now we use the formula\r\n" ); document.write( "\r\n" ); document.write( "P(A OR B) = P(A) + P(B) - P(A AND B)\r\n" ); document.write( "\r\n" ); document.write( "P(7 OR Spade) = P(7) + P(Spade) - P(7 AND Spade)\r\n" ); document.write( "\r\n" ); document.write( " = \n" ); document.write( " \n" ); document.write( " |