document.write( "Question 86724: sorry i wrote the last problem wrong it should of read\r
\n" ); document.write( "\n" ); document.write( "Find probability
\n" ); document.write( "suppose one card is selected at random from an ordianry deck of 52 playing cards
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\n" ); document.write( "a = event a queen is selected
\n" ); document.write( "b= event a diamond is selected\r
\n" ); document.write( "\n" ); document.write( "determine P(B/A) \n" ); document.write( "
Algebra.Com's Answer #62739 by Edwin McCravy(20060)\"\" \"About 
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document.write( "sorry i wrote the last problem wrong it should of read \r\n" );
document.write( "Find probability \r\n" );
document.write( "suppose one card is selected at random from an ordianry \r\n" );
document.write( "deck of 52 playing cards\r\n" );
document.write( "let\r\n" );
document.write( "A = event a queen is selected\r\n" );
document.write( "B = event a diamond is selected \r\n" );
document.write( "determine P(B|A)\r\n" );
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document.write( "There awo two ways to find conditional probabilities\r\n" );
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document.write( "Method 1 (reduce the sample space)\r\n" );
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document.write( "You are given that you have selected a queen.\r\n" );
document.write( "So you are given that you drew one of the four Queens.\r\n" );
document.write( "So exactly one of those four queens you could have selected\r\n" );
document.write( "is a diamond.\r\n" );
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document.write( "So P(B|A) = 1/4.\r\n" );
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document.write( "Use the formula:\r\n" );
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document.write( "          P(X and Y)  \r\n" );
document.write( "P(X|Y) = ------------- \r\n" );
document.write( "             P(Y)\r\n" );
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document.write( "          P(B and A)  \r\n" );
document.write( "P(B|A) = ------------- \r\n" );
document.write( "             P(A)\r\n" );
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document.write( "                    P(diamond and Queen)  \r\n" );
document.write( "P(diamond|Queen) = ---------------------- \r\n" );
document.write( "                         P(Queen)\r\n" );
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document.write( "P(diamond and queen) = P(queen of diamonds) = 1/52\r\n" );
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document.write( "P(Queen) = 4/52 \r\n" );
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document.write( "                    1/52     1\r\n" );
document.write( "P(diamond|Queen) = ------ = --- = 1/4 \r\n" );
document.write( "                    4/52     4\r\n" );
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document.write( "Either way it comes out 1/4.\r\n" );
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document.write( "Edwin
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