Of three independent events, the chance that only the first occurs is a, the other that...

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Of three independent events, the chance that only the first occurs is a, the other that only the second occurs is b and the chance of only third occurs is c. Show that the cases of three events are respectively a/(a + x), b/(b + x), c/(c + x), where x is a root of the equation (a + x)(b + x)(c + x) = x. Of three independent events, the chance that only the first occurs is a, the other that only the second occurs is b and the chance of only third occurs is c. Show that the cases of three events are respectively a/(a + x), b/(b + x), c/(c + x), where x is a root of the equation (a + x)(b + x)(c + x) = x.

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