Hi!

I have two questions:

Let be a probability space.

Now use the properties of the probability measure to show

1) If and , then .

I tried: If , then , where .

Then by the countable additivity rule, .

But , hence .

2) Show that if and is a sequence of sets in with and for all , then .

I tried: .

This means

But and are greater than zero, so

Are these valid solutions?

Thank you