document.write( "Question 1150267: A box contains 4 ​red, 2 white and 3 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same​ color? \n" ); document.write( "
Algebra.Com's Answer #771672 by ikleyn(52777)\"\" \"About 
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document.write( "There are 4 + 2 + 3 = 9 balls, in all.\r\n" );
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document.write( "The number of all pairs of balls is  \"%289%2A8%29%2F2\" = 9*4 = 36.  (The order of balls in pairs does not matter).\r\n" );
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document.write( "The number of all pairs consisting of red balls is  \"%284%2A3%29%2F2\" = 6.\r\n" );
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document.write( "The number of all pairs consisting of white balls is 1.\r\n" );
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document.write( "The number of all pairs consisting of green balls is  \"%283%2A2%29%2F2\" = 3.\r\n" );
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document.write( "Thus the desired probability  is  P = \"%286%2B1%2B3%29%2F36\" = \"10%2F36\" = \"5%2F18\".    ANSWER\r\n" );
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