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# Probability frequency definition

2. The table below represents the results of a survey of 1000 workers in Q1 2009 as to which benefit they find is the most important.

Retirement
Benefits are most important Health Benefits are most important
Single 280 200
Married 220 300

a. If a Worker is chosen at random, what is the probability that he/she feels health benefits are most important?

b. If a Voter is chosen at random, what is the probability that he/she is married?

c. If a Voter is chosen at random, what is the probability that he/she is married and feels Health benefits are most important?

d. Given that a worker is single, what is the probability that he/she feels retirement benefits are most important?

e. Given that a worker feels Health benefits are most important, what is the probability that he/she is married?

#### Solution Preview

Probability
The table below represents the results of a survey of 1000 workers in Q1 2009 as to which benefit they find is the most important.

Retirement Benefits are most important Health Benefits are most important Total
Single 280 200 480
Married 220 300 520
Total 500 500 1000

a) If a Worker is ...

#### Solution Summary

The solution provides step-by-step method for the calculation of probability under frequency definition. Formula for the calculation and Interpretations of the results are also included.

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