# Math Help - Is a probability measure determined by the values it assigns to the closed intervals?

1. ## Is a probability measure determined by the values it assigns to the closed intervals?

True or false?

A probability measure that is defined with respect to the Borel sigmal-algebra on the Real line is uniquely determined by the values it assigns to the closed intervals.

2. ## Re: Is a probability measure determined by the values it assigns to the closed interv

Hello,

I'd say true, although you have to check that the values have to make it a probability measure