# Math Help - Question on convergence in probability

1. ## Question on convergence in probability

Dear All
Hello

I have one question on convergence in probability as attached, could u please help me to solve it

thank you
Nidhal

2. If $x- y< \epsilon/2$ and $y- z< \epsilon/2$, then $x- z= (x- y)+ (y- z)< \epsilon$.

3. ## clarification is needed

Dear HallsofIvy
Thank you for your reply,

could you please discuss about the answer to let me understand

x converge in probability to y does it mean x-y<epsilon/2
please clarify the answer

Thank you
Nidhal