document.write( "Question 252130: A box contains 2 green and 3 white balls. A ball is selected at random from the box. If the ball is green, a card is drawn from a deck of 52 ca rdto. If the ball is white, a card is drawn from the deck consisting of just the 16 pictures. (a) What is the probability of drawing a. king? (b) What is the probability of a white ball was selected given that a king was drawn? \n" ); document.write( "
Algebra.Com's Answer #183913 by Edwin McCravy(20060)\"\" \"About 
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A box contains 2 green and 3 white balls. A ball is selected at random from the box. If the ball is green, a card is drawn from a deck of 52 ca rdto. If the ball is white, a card is drawn from the deck consisting of just the 16 pictures.
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document.write( "I don't get the \"deck consisting of just the 16 pictures\" since there are\r\n" );
document.write( "only 12 picture cards (Jack, Queen and King of the 4 suits) in a standard deck\r\n" );
document.write( "of 52. Perhaps this problem considers Aces to be picture cards. But I will\r\n" );
document.write( "assume there are 16 picture cards anyway)\r\n" );
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\n" ); document.write( "(a) What is the probability of drawing a king?
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document.write( "P(green)=\"%22P%28G%29%22=2%2F5\"\r\n" );
document.write( "P(white)=\"%22P%28W%29%22=3%2F5\"\r\n" );
document.write( "P(king from deck of 52)=\"4%2F52=1%2F13\"\r\n" );
document.write( "P(king from 16 picture-card deck)=\"4%2F16=1%2F4\"\r\n" );
document.write( "P(green and king) = \"%22P%28G%26K%29%22\"=\"%282%2F5%29%281%2F13%29=2%2F65\"\r\n" );
document.write( "P(white and king) = \"%22P%28W%26K%29%22\"=\"%283%2F5%29%281%2F4%29=3%2F20\"\r\n" );
document.write( "P(king) = P(G&K OR W&K) = \"2%2F65%2B3%2F20=47%2F260\"\r\n" );
document.write( "= \"2%2F65%2B3%2F20=47%2F260\", about 18% of the time.\r\n" );
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\n" ); document.write( "(b) What is the probability of a white ball was selected given that a king was drawn?
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\n" ); document.write( "or about 83% of the time.\r
\n" ); document.write( "\n" ); document.write( "Edwin
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