**The question:**
Employment data at a large company reveals that 72% of the workers are married, that 44% are university graduates and that half of the university graduates are married. What is the probability that a randomly chosen worker...

a) is neither married nor a university graduate?

b) is married but not a university graduate?

c) is married or is a university graduate?

**My attempt:**
I tried to convert the wording into math as follows,

Let M = "people married"

Let G = "people graduated"

a) We want to find

, so:

Thus we get 0.28 x 0.56 = 0.1568

However, this is incorrect. I'm sure I've made a wrong assumption somewhere. I'm yet to attempt part b) and c) since I'm not sure where I've gone wrong with a). Any assistance would be great.