# Thread: Is independence indpendent on measure?

1. ## Is independence indpendent on measure?

Is it possible that 2 sigma-algebras could be independent under one measure but not independent under another?

Many thanks.

2. ## Re: Is independence indpendent on measure?

For example, consider a measure of the form $Q(A):=P(A\cap A_0)$ where $A_0$ is a well chosen event.