The probability that the payroll for one week contained overtime wages or temporary help is
.
Further explanation:
It is given that during a
week period, a company paid overtime wages for
weeks and hired temporary help for
weeks.
During
weeks, the company paid overtime and hired temporary help.
Calculation:
A company paid overtime wages for
weeks and
weeks during the
week period.
Therefore, the probability of overtime wages
is calculated as follows:

The probability of overtime wages is
.
The same company hired temporary help for
weeks and
weeks during the
week period.
Therefore, the probability of temporary help
is calculated as follows:
The probability of temporary help is
.
Now, the combined probability
that the payroll for one week contained overtime wages or temporary help is calculated by adding the probabilities of overtime wages and temporary help as follows:

The probability that the payroll for one week contained overtime wages or temporary help is
.
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Probability
Keywords: Probability, events, outcome, sample, experiment, equally likely, random, complementary events, joint probability, independent events, mutually exclusive events, conditional probability.