document.write( "Question 1150345: A sample space of an experiment is {A, B, C}. Find the probability of each simple outcome if P(A) = P(B) and P(C) = 3P(A).\r
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Algebra.Com's Answer #771725 by ikleyn(52898) $\"\"$ $\"About$

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document.write( "Let P(A) = x.\r\n" );
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document.write( "Then  P(B) = x  and  P(C) = 3x\r\n" );
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document.write( "Also   P(A) + P(B) + P(C) = 1,  i.e.\r\n" );
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document.write( "    x + x + 3x = 1\r\n" );
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document.write( "    5x         = 1\r\n" );
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document.write( "     x         =  = 0.2.\r\n" );
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document.write( "ANSWER.  P(A) = 0.2, P(B) = 0.2, P(C) = 0.6.\r\n" );
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