Workplace accidents are categorized into three groups minor

Workplace accidents are categorized into three groups: minor, moderate, severe. The

probability that a given accident is minor is 0.5, that it is moderate is 0.4, and that

it is severe is 0.1. Two accidents occur independently in one month. Calculate the

probability that neither accident is severe and at most one is moderate.

There are 2 cases to consider:

1. 1 moderate, 1 minor
2. 0 moderare, 2 minor

Thus,

P(neither accident is severe and at most one is moderate) = P(mod)P(minor) + P(minor)^2

= 0.4*0.5 + 0.5^2

= 0.45 [ANSWER]