Two events are independent if the occurrence of one event has no impact on the occurrence of the other event. The definition for two independent events is:
A delivery service operates in a city where it snows in the winter. Suppose it is now winter. We consider the events that on a randomly selected day that they are late making deliveries, and the event that it snows that day.
Suppose that the probability that the service is late on this day is \(0.17\text{,}\) the probability that the service is late given that it snows on this day is \(0.7\text{,}\) and finally the probability that it snows on this day is \(0.18\text{.}\)
The events the service is late on this day, and it snows on this day are not independent because the probability that it snows, given that service is late is not equal to the probability that it snows.
A company has 140 employees, of which 30 are supervisors. Eighty of the employees are married, and 20% of the married employees are supervisors. If a company employee is randomly selected, what is the probability that employee is married and is a supervisor?
