Hello,

I'll give you most of the solution, but you will have to fill in some steps

Thing that may come in handy :

(de Morgan's law)

(de Morgan's law)

From here, it should be very easy to conclude

I'm thinking on this one...(ii) Given and , determine

Show that for any two events :

(i) If , then

why ? because let's consider an element in B. It is contained in A,orit is contained in B, but not in A. This latter possibility gives the set

You can also see that since A and are disjoint, then A and are disjoint.

Hence

And the conclusion follows.

Use (i) :(ii) If , then

but since is a probability, it's

thus

Because is included in(iii) Why is it incorrect to assume that for some events A and B, and ?

By (ii), we should have , which is not the case here