An electronic components manufacturer submits tenders to three separate companies for a work over the next month. From past experience the contracts manager estimates that the probability that each tender will be accepted as in the table below.
Calculate the probability that at least one tender is accepted:
This is my attempt:
I have assumed this is independent.
Pr(at least one tender) = Pr(A) + Pr(B) + Pr(C) + Pr(A U B) + Pr(A U C) + Pr(B U C) + Pr(A U B U C)