Testing Blogger LaTeX with a little more care. "Work with me now"

Problem 1.2-6 (c)

Find

Again using basic properties and theorems of probability

and

Now we need to use this formula

in this problem.

But and its complement is simply

again by basic probability theorems

What is the set actually? It is the area out side of both A and B. which is the same as an intersection of the complements of A and B or set

Therefore

Therefore substituting in our formula.

And the set is really the complement of which = 0.3 because outside of the intersection is outside of either A or B so all this space outside the intersection is in . Thus we can check our work by checking that = 1- = 1- 0.3 = 0.7