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.

Company Probability

A 0.8

B 0.6

C 0.9

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)

P.S