信不信是你的事
“Whether you believe it or not is your business,”
THE DIALOGUE REEL
我不信这个
“I don't believe in this.”
信不信是你的事
“Whether you believe it or not is your business,”
算不算是我的事
“but whether I read it or not is my business.”
“I don't care whether you believe me or not; that's entirely your problem.”
Using '...是你的事' is an overt conversational refusal to engage further, clearly severing mutual responsibility.
LEARNING CHUNKS & PARTICLES
is your business / that's on you
A blunt phrasing used to distance oneself from another person's doubts, problems, or opinions.
whether you believe it or not
An affirmative-negative structure frequently used at the beginning of a dismissive remark.