Base construction Inc and Olive Construction Inc are local competitors who bid on some public construction projects from time to time. Base Inc bids on 70% of projects when Olive Inc knows that Base Inc does not bid on a given project, they bid on that project 50% of the time. However when Olive Inc knows that Base Inc bids on a given project, they bid on that project 25% of the time.
Compute the probability of an event that Base construction Inc does not bid on a randomly selected project, knowing that Olive Construction Inc bids on that random project?
A. 40%
B.42%
C.44%
D.46%