Question

The HR manager of a company is considering 2 employees (A and B) that could potentially retire soon. The probability that employee A will retire is 0.2 and probability that employee B will retire is 0.85. Assume these events are independent. Do not round calculation results. What is the probability that both employees will retire?

Answer 1

To calculate the probability that both Employee A and Employee B will retire, multiply their individual retirement probabilities. The result is 0.17, meaning there is a 17% chance that both will retire.

Step-by-step explanation:

The student's question falls under the subject of probability, which is a part of mathematics. In this problem, we are dealing with the concept of independent events, where the occurrence of one event does not affect the probability of the occurrence of another event. To find the probability of both Employee A and Employee B retiring, we need to multiply the probability of Employee A retiring by the probability of Employee B retiring.

Therefore, the probability that both will retire is calculated as follows:

1. P(Employee A retires) = 0.2
2. P(Employee B retires) = 0.85
3. P(Both retire) = P(Employee A retires) × P(Employee B retires) = 0.2 × 0.85 = 0.17

The probability that both employees will retire is 0.17 or 17%.