In a probability experiment, $$R$$, $$S$$, and $$T$$ are events such that $$P(S)=P(T)=x$$, $$P(R)=kx$$, and $$P(R$$ or $$S) \lt P(S$$ or $$T)$$, where $$k$$ and $$x$$ are positive numbers. Events $$R$$ and $$S$$ are mutually exclusive, and events $$S$$ and $$T$$ are independent.