Given: On average one employee is absent 12 days per year (365 days). There are 5 employees in a company. It is assumed, that the absence of one employee has no effect on the others, and there is no seasonality.
Question 1: What is the probability that all 5 employees will be absent on the same day?
Question 2: What is the probability that at least 3 employees will be present on the same day?
Are the following answers correct?
$P(All 5 Absent)=(12/365)^5$
$P(At Least 3 Present)=(1-12/365)^3$