document.write( "Question 446250: 8 blue socks, 4 green socks, 2 white socks in a drawer. What is the probability that you will pull out 2 socks of the same color? \n" ); document.write( "

Algebra.Com's Answer #307298 by stanbon(75887) $\"\"$ $\"About$

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8 blue socks, 4 green socks, 2 white socks in a drawer. What is the probability that you will pull out 2 socks of the same color?
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\n" ); document.write( "There are 14C2 = 7*13 = 91 pairs possible.
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\n" ); document.write( "There are 8*4= 32 blue/green pairs
\n" ); document.write( "There are 8*2 = 16 blue/white pairs
\n" ); document.write( "There are 4*2 = 8 green/white pairs
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\n" ); document.write( "Total # of mixed color pairs = (32+16+9) = 56
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\n" ); document.write( "# of same color pairs is 91-56 = 35
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\n" ); document.write( "P(same color pair) = 35/91
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\n" ); document.write( "Another way to work it:
\n" ); document.write( "# of same color pairs = (8C2+4C2+2C2) = 28+6+1 = 35
\n" ); document.write( "Total # of pairs 14C2 = 91
\n" ); document.write( "P(same color pair) = 35/91
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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