Municipality of Greentown announces a public procurement notice for the landscape design of the district. The probability of winning for a company that bids for the tender is 0.50. Further, of those...

Municipality of Greentown announces a public procurement notice for the landscape design of the district. The probability of winning for a company that bids for the tender is 0.50. Further, of those which win 60 % are politically connected and of those which do not win 20% are politically connected companies.
(Hint: Denote the event of winning with W and the event of political connectedness with PC)
a)  What is the probability that randomly chosen company is politically connected?
b)  What is the probability that a randomly chosen company neither wins nor is politically connected?
c)  What is the probability that a randomly chosen company is winning or politically connected?