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^2`.

Options

A. `a // (a + x ) , b// (b + x ) , c// (c + x)`
B. `x // (a + x ) , x// ( b + x ) , x// (c + x)`
C. `a // (a + 2 x) , b// (b + 2x) , c // ( c + 2x)`
D. `2x // (a + 2x) , 2x// (b + 2x) , 2x// (c + 2x)`

Answer

A