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Mathematics>Standard Multiple Choice

An organization is conducting a survey asking how many US workers are offered paid vacation. The organization surveyed 500 workers and asked them whether they work part time or full time and whether or not they are offered paid vacation. The following incomplete table shows the results of their survey.

Works

part time

Works

full time

Offered paid vacation

114

Not offered paid vacation

16

Of the 500 workers surveyed, 54.6% sign said they were offered paid vacation. Based on the information provided, what is the probability of selecting a worker who is offered paid vacation if a part-time worker is selected?

Selcet an answer

A.0.228

B.0.351

C.0.418

D.0.546

Answer B

EXPLANATION

Option B is correct. The probability of selecting a worker who is offered paid vacation if a part time worker is selected is equal to the ratio of the number of part time workers offered paid vacation to the total number of part time workers. In the survey, 114 part time workers were offered paid vacation and there were 325 total part time workers.

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