Probability Prob: Government data on job-related deaths assi

[tderby]

Government data on job-related deaths assign a single occupation for each such death that occurs in the US. The data shows that the probability is 0.104 that a randomly chosen death was agriculture-related and 0.129 that is was a manufacturing related. What is the probabilty that a death was either agriculture related or manufacturing related? What is the probability that the death was related to some other occupation?

I am not sure where to start with this problem...

 

[pka]

To work this problem, we have to make some assumptions.
The way it is written it seems reasonable to assume that a death occurs in exactly one category and not in more than one. That is, the events are disjoint.
Using that we get:
\(\displaystyle \begin{array}{l}
P(A \cup M) = P(A) + P(M) \\
P(A' \cap M') = 1 - P(A \cup M) \\
\end{array}\)