Question

Northern Light Health Partners offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of the employees needed corrective shoes, 15% needed major dental work, and 3% needed both corrective shoes and major dental work. Based o n this information what is the probability that an employee selected at random will need either corrective shoes or major dental work?

Answer 1

Answer: Our required probability is 20%.

Step-by-step explanation:

Since we have given that

Probability of the employees needed corrective shoes = 8%

Probability of the employees needed major dental work = 15%

Probability of employees needed both corrective shoes and major dental work = 3%

So, we need to find the probability that an employee will need either corrective shoes or major dental work.

So, it becomes,

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\\P(S\cup D)=8+15-3\\\\P(S\cup D)=23-3\\\\P(S\cup D)=20\%$

Hence, our required probability is 20%.