Construction conditional probability question

Question

Three construction companies have bid for a job. Max knows that the two companies with which he is competing have probabilities 1/5 and 1/8, respectively, of getting the job. What is the probability that Max will get the job? (Enter your probability as a fraction.)

Answer 1

The competitors have the probablity of

8 / 40 and 5 / 40

Max's chances are

1 - (8 / 40) - (5 / 40)