document.write( "Question 329387: Each soccer player gets 4 jerseys red, yellow, white and green. A player randomly draws 2 jerseys each from the bag. The first jersey is not placed back in the bag.
\n" ); document.write( "What is the probability of first drawing a white and then a green jersey?
\n" ); document.write( "What is the probability of drawing a red and yellow jersey in any order?
\n" ); document.write( "What is the probablity of not drawing a red jersey?
\n" ); document.write( "What is the probablity of having a white or red jersey after the second draw?
\n" ); document.write( "I would appreciate your help.
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #236058 by Edwin McCravy(20086) $\"\"$ $\"About$

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Each soccer player gets 4 jerseys red, yellow, white and green. A player randomly draws 2 jerseys each from the bag. The first jersey is not placed back in the bag.\r
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document.write( "We (1) draw a white AND (2) then draw a green.\r\n" );
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document.write( "We start with this set of 16\r\n" );
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document.write( "R, R, R, R, Y, Y, Y, Y, W, W, W, W, G, G, G, G\r\n" );
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document.write( "(1) We can draw a white any of 4 ways out of 16.  That's a probability of ,  which reduces to ,\r\n" );
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document.write( "AND then that leaves this set of 15:\r\n" );
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document.write( "R, R, R, R, Y, Y, Y, Y, W, W, W, G, G, G, G\r\n" );
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document.write( "(2) We can then draw a green one any of 4 ways out of 15.  That's a probability of .\r\n" );
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document.write( "That's all we wanted to do.  Since the big word between 1 and 2 is AND, we multiply those probabilities:\r\n" );
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document.write( "Answer \r\n" );
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\n" ); document.write( "B. What is the probability of drawing a red and yellow jersey in any order?
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\r\n" );
document.write( "  What is the probability of first drawing a white and then a green jersey?\r\n" );
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document.write( "We (1) draw a red AND (2) then draw a yellow OR we (3) draw a yellow AND (4) then draw a red.\r\n" );
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document.write( "We start with this set of 16\r\n" );
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document.write( "R, R, R, R, Y, Y, Y, Y, W, W, W, W, G, G, G, G\r\n" );
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document.write( "(1) We can draw a red any of 4 ways out of 16.  That's a probability of ,  which reduces to ,\r\n" );
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document.write( "AND then that leaves this set of 15:\r\n" );
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document.write( "R, R, R, Y, Y, Y, Y, W, W, W, W, G, G, G, G\r\n" );
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document.write( "(2) We can then draw a yellow any of 4 ways out of 15.  That's a probability of .\r\n" );
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document.write( "OR\r\n" );
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document.write( "We start with this set of 16\r\n" );
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document.write( "R, R, R, R, Y, Y, Y, Y, W, W, W, W, G, G, G, G\r\n" );
document.write( "\r\n" );
document.write( "(1) We can draw a yellow any of 4 ways out of 16.  That's a probability of ,  which reduces to ,\r\n" );
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document.write( "AND then that leaves this set of 15:\r\n" );
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document.write( "R, R, R, R, Y, Y, Y, W, W, W, W, G, G, G, G\r\n" );
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document.write( "(2) We can then draw a red one any of 4 ways out of 15.  That's a probability of .\r\n" );
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document.write( " Red  AND yellow OR yellow  AND red   \r\n" );
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document.write( "AND means to multiply and OR means to add:\r\n" );
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document.write( "Answer \r\n" );
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\n" ); document.write( "C. What is the probablity of not drawing a red jersey?
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document.write( "We (1) draw a non-red AND (2) then draw another non-red.\r\n" );
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document.write( "We start with this set of 16\r\n" );
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document.write( "R, R, R, R, non-R, non-R, non-R, non-R, non-R, non-R, non-R, non-R, non-R, non-R, non-R, non-R\r\n" );
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document.write( "(1) We can draw a non-red any of 12 ways out of 16.  That's a probability of ,  which reduces to ,\r\n" );
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document.write( "AND then that leaves this set of 15:\r\n" );
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document.write( "R, R, R, R, non-R, non-R, non-R, non-R, non-R, non-R, non-R, non-R, non-R, non-R, non-R \r\n" );
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document.write( "(2) We can then draw a non-red any of 11 ways out of 15.  That's a probability of .\r\n" );
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document.write( "That's all we wanted to do.  Since the big word between 1 and 2 is AND, we multiply those probabilities:\r\n" );
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document.write( "Answer \r\n" );
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\n" ); document.write( "D. What is the probablity of having a white or red jersey after the second draw?
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document.write( "This requires finding the probability of the complenment event, and\r\n" );
document.write( "then subtracting from 1\r\n" );
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document.write( "COMPLEMENT EVENT:\r\n" );
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document.write( "(1) Drawing a non-white-non-red AND (2) then drawing another non-white-non-red \r\n" );
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document.write( "We start with this set of 16\r\n" );
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document.write( "R, R, R, R, W, W, W, W, non-R-non-W, non-R-non-W, non-R-non-W, non-R-non-W, non-R-non-W, non-R-non-W, non-R-non-W, non-R-non-W\r\n" );
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document.write( "(1) We can draw a non-red-non-white any of 8 ways out of 16.  That's a probability of ,  which reduces to ,\r\n" );
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document.write( "AND then that leaves this set of 15:\r\n" );
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document.write( "R, R, R, R, W, W, W, W, non-R-non-W, non-R-non-W, non-R-non-W, non-R-non-W, non-R-non-W, non-R-non-W, non-R-non-W\r\n" );
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document.write( "(2) We can draw a non-red-non-white any of 7 ways out of 15.  That's a probability of .\r\n" );
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document.write( "Answer to COMPLEMENT event:\r\n" );
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document.write( "Answer to DESIRED event:\r\n" );
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document.write( "Edwin

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