Business Degree Certification Practice Test

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Prepare for your Business Degree Certification Test with our comprehensive quiz. Utilize flashcards, multiple choice questions, hints, and explanations to build your proficiency. Excel in your exam!

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If 8% of employees need corrective shoes, 15% need major dental work, and 3% need both, what is the probability that a randomly selected employee needs either corrective shoes or major dental work?

0.50
0.20
1.00
0.25

The correct answer is: 0.20

To determine the probability that a randomly selected employee needs either corrective shoes or major dental work, we can use the principle of inclusion-exclusion. First, we need to understand the individual probabilities: - The probability that an employee needs corrective shoes is 8%, or 0.08. - The probability that an employee needs major dental work is 15%, or 0.15. - The probability that an employee needs both corrective shoes and major dental work is 3%, or 0.03. Using the inclusion-exclusion principle, the probability of needing either corrective shoes or major dental work can be expressed as follows: P(Corrective shoes or Major dental work) = P(Corrective shoes) + P(Major dental work) - P(Both) Substituting the values: = 0.08 + 0.15 - 0.03 = 0.20 Thus, the probability that a randomly selected employee needs either corrective shoes or major dental work is 0.20. This matches the option chosen as the answer.