Employment data at a large company reveal that 68% of the workers are married ( event A ) and that 52% of the workers are college graduates ( event B). It is also known that 21% of the workers are college graduates and married.

a) Fill in all 4 areas of the venn diagram below with the appropriate probability.

b) Given that a worker selected at random is married, what is the probability the worker is a college graduate?

c) Are events A ( being married) and B ( being a college graduate) independent? Justify your answer using probabilities calculated above.